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NASA CONTRACTOR REPORT - 174811

MEAN VELOCITY AND TURBULENCE MEASUREMENTS

IN A 90° CURVED DUCT WITH THIN INLET

BOUNDARY LAYER

R.A. Crawford, C.E. Peters. J. Steinhoff, J.O. Hornkohl,

J. Nourinejad, and K. Ramachandran

University of Tennessee Space Institute

Tullahoma. Tennessee

Final Report

December 1985

(NASA-CR-174 8 11 } HEAf o VEJLCCI1Y AND N86-16518

TUBBULENCE MEASUREMENT S IN A 90 DEC CURVE D

DOCT WITH THI N IK1ET BOUNDAR Y lAYEfi Final

Report, Apr. 1982 - Sep. 1S64 (lennessee Unclas

Univ. Space lest., Tullahcma.) 188 p G3/34 05272

prepared for

NASA Lewis Research Center

L'nder Contract NAS3-23278
NASA CONTRACTOR REPORT - 174811

MEAN VELOCITY AND TURBULENCE MEASUREMENTS

IN A 90° CURVED DUCT WITH THIN INLET

BOUNDARY LAYER

R.A. Crawford, C.E. Peters. J. Steinhoff, J.O Hornkohl,

J. Nourinejad, and K. Ramachandran

University of Tennessee Space Institute

Tullahoma. Tennessee

Final Report

December 1985

prepared for

NASA Lewis Research Center

L'nder Contract NAS3-2327S
TABLE OF CONTENTS

Page

SUMMARY 2

1. INTRODUCTION 3

2. EXPERIMENTAL TASK 4

2.1 Duct Flow Facility Description 4

2.2 Instrumentation Description and Calibration . . . 9

2.3 Duct Flowfield Measurements and Test Conditions 22

3. ANALYTIC TASK 24

3.1 Selection of 3-D CFD Code 24

3.2 Code Adaptation and Validation 25

3.3 Grid Refinement Studies 28

3.4 Numerical Results for Laminar and Turbulent

Boundary Layers 28

4. PRESENTATION OF RESULTS 37

4.1 Summary of Experimental Results 37

4.2 Analysis and Evaluation of Results .46

5. CONCLUSIONS AND RECOMMENDATIONS 49

LIST OF SYMBOLS . . 50

REFERENCES .. . . 5 1

APPENDIX A - LO W REYNOLDS NUMBER DATA ... . A- l

APPENDIX B - HIGH REYNOLDS NUMBER DATA B-l

APPENDIX C - LOW REYNOLDS NUMBER TABULATED DATA . . . C-l

APPENDIX D - HIGH REYNOLDS NUMBER TABULATED DATA . D-l
SUMMARY

The experimental database established by this investigation of the flow in a large

rectangular turning duct is of benchmark quality. The experimental Reynolds numbers, Deans numbers and boundary layer characteristics are significantly different from

previous benchmark curved-duct experimental parameters. The turbulent entrance

boundary layer case, at Red — 328,000, provides an incompressible flowfield which approaches real turbine blade cascade flow characteristics. Although incompressible, the

turbulent boundary layer thickness of 5 to 10 percent of duct half-width provides a

very challenging flowfield for CFD code development and validation. The experimental

results present all three components of mean velocity and turbulence intensity for six

measurement planes in the 90° turning duct. The experimental data is available on

magnetic tape at the NASA-Lewis Research Center.

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1. INTRODUCTION

The advancement of turbine engine durability and efficiency depends upon design

improvements in stage loading, operating temperatures and material properties. Improved fluid mechanics and heat transfer codes are key to design advancement of blade

loading and temperature distribution. The curved duct flowfield results from the combined effects of compressibility, viscosity and heat transfer, and it is one of the most

difficult three-dimensional flows to model accurately. A requirement for developing improved fluid dynamics codes is the benchmark experimental data base, which provides

a calibration standard for development and validation of fluid mechanics codes.

The investigation reported herein is the study of internal flow in a large rectangular turning duct, with a 25.4 cm (10 in) square cross section. The objective of this

investigation is to provide a complete set of benchmark data for the flow within a large

rectangular turning duct. These data are to be used to evaluate, verify, and /or modify

three-dimensional internal viscous flow models and computational codes for predicting

the flow in turbine engines. The experimental and analytical efforts were conducted

under a coordinated multitask contract

The data acquired in the three-dimensional viscous flowfield includes pressure

and velocity distributions for comparison with the flowfield computed using threedimensional viscous flow computer codes. The measurements constituted a detailed

study of the sidewall, endwall, and convex-sidewall/flat endwall corner regions of the

duct, for isothermal, adiabatic flow. All measurements were taken at two Reynolds

numbers that provided both laminar and fully turbulent boundary layer flows approaching the duct turn. The flow velocities for both Reynolds numbers were low enough to

remain well within the incompressible Mach number range.

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2. EXPERIMENTAL TASK

Flow in curved ducts is representative of a wide range of real flowfields such as are

found in turbomachinery. The evaluation of the complex three-dimensional flowfield in

a turbine stage is complicated by the viscous effects which dominate the heat transfer

distributions. A clear understanding of the three-dimensional boundary layer development in the curved duct is essential to the formulation and validation of computational

fluid dynamics and heat transfer codes. This investigation expands the curved duct

experimental work of Taylor, Whitelaw and Yianneskis (ref. 1) to higher Reynolds

numbers and Dean numbers. The resulting experimental data base provides a CFD

baseline data set that is closer to real turbine blade passage flowfields. In this section

the experimental facility and instrumentation systems are described in detail. The

design, fabrication and calibration of all experimental equipment was conducted with

primary emphasis on data quality to assure benchmark results.

2.1 Duct Flow Facility Description

The experimental facility design features modular tunnel components which allow

flow measurements every 15° in the 90° bend and at one duct width upstream and

downstream of the bend. The 25.4 cm (10 in) square cross section tunnel is designed

with a 13 to 1 area ratio bell mouth, contoured to provide uniform flov\. and is powered by an induced-draft, variable speed, variable pitch, six-bladed fan. The tunnel

is designed for incompressible flow and will produce, based on variable inlet length.

Reynolds numbers of 50 to 350 x 103 at the entrance of the 90° bend for tunnel velocities of 4.0 to 24 m/sec (13 to 79 ft/sec). These two flow conditions represent laminar

and fully turbulent boundary layer profiles at the entrance to the 90° bend. Figures 1

and 2 show the details of the assembled duct.

Inlet Transition The inlet transition section is designed to provide a uniform flow

profile to the test section. The walls are made from formed metal with a bellmouth

shape. The bellmouth has an overall length of 101.6 cm (40 inches), with a 91.44 cm

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(36 inch) square entrance and a 25.4 cm (10 inch) square outlet for a contraction ratio,

At/Ao, of 13. The honeycomb panel acts as a flow straightener and smoother to provide

a smooth, laminar core flow into the duct. An 8x8 mesh screen is stretched across the

bellmouth inlet upstream and downstream of the honeycomb panels. The honeycomb

and screens at the entrance, as well as the suction type air supply design are intended

to provide the smoothest, most uniform core flow possible at the duct entrance.

The bellmouth contour was selected on the basis of fluid dynamic calculations

to provide an essentially uniform one-dimensional core flow with developing boundary

layers entering the test section. Smooth flow acceleration is achieved by contouring

the inlet to avoid large negative axial pressure gradients. An approximate calculation

predicted the boundary layer thickness at the bellmouth exit of 1.25 mm to 2.5 mm

(0.05 to 0.1 in). Therefore, the boundary layer at the start of the bend is mainly

produced by flow over the straight duct extension sections, for both the laminar the

turbulent boundary layer flow conditions

The inlet extension section was designed to provide additional length upstream of

the test section to allow development of a fully turbulent boundary layer at the start

of the bend This section is straight. 50.3 cm (20 inches) long and has a 25 4 cm (10

inch) square cross section Flanges are provided for ease of installation and removal,

thus simplifying duct alterations to facilitate changing the flow characteristics. One

of these interchangable sections is configured as an instrument segment, containing an

optical access window module, an instrument probe module, and a 24.1 cm (9.5 inch)

long extension module. This modular section can be interchanged or rearranged to

permit inlet conditions to be measured at 25.4, 50.8. 76.2 or 101 6 cm (10. 20. 30 or 40

inches) upstream of the bend entrance and exit conditions to be measured at 25 4 cm

(10 inches) downstream of the bend exit.

The instrument module includes the Laser Velocimeter access window as a separate

piece. Construction of the instrument module is similar to the extension section, i.e.

flanged and made from 6.35 mm (0.25 inch) thick aluminum plates. The basic difference

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is the inclusion of the optical access window module and a traversing probe mounting

panel which allows pressure measurements, temperature measurements, or hot-wire

measurements, in the plane of the view window. Interchanging the instrument module

with different panel modules permits flow conditions and profiles to be measured at

the bend entrance, or at any of 5 evenly spaced stations in the bend. The view window

module is constructed for application with either the curved instrument module or the

duct-extension instrument segment. The window section was assembled from four (4),

beveled 0.635 cm (0.25 inch) thick by 1.27 cm (0.5 inch) wide by 26.67 cm (10.25 inches)

long flat glass panels mounted in an aluminum frame that bolts to the upstream end

of the instrument module. The glass windowed module is arranged so that there is a

clear view from corner-to-corner on all four walls of the test duct. Flat window width

has been minimized within the operating constraints of the Laser Velocimeter system.

Although flat windows were used along the convex and concave walls the resulting

variation in wall curvature is insignificant. These 1.27 cm (0 5 in) wide flat panels

were, by design installed so the window edges set on the arc of the concave and convex

sidevvalls. resulting at window center, in only a 0.004 cm (0.002 in) maximum variation

from the desired uniform 45.7 cm (18 in) radius of the convex sidewall. and 0.003 cm

(0.001 in) maximum variation from the desired 71 1 cm (28 in) uniform radius of the

concave sidewall

Induced Draft Fan, Exhaust Transition The exhaust transition section is designed to

diffuse the flow and provide a uniform suction for moving the air through the test

section. The exhaust section is 335.28 cm (132 inches) long and transitions from a 25.4

cm (10 inches) square cross section at the downstream extension exit to an 82.55 cm

(32.5 inch) diameter circular cross section designed to match the diameter of the fan

mounted at the exit of this section.

The selected, induced draft fan is a 6 bladed. adjustable pitch. 81.30 cm (32 in)

diameter air propeller. The blades and hub are separate aluminum alloy castings,

machine matched and balanced. The propeller is belt driven by a variable-speed.

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electric motor mounted below the fan. Both the motor and propeller mounts are

isolated from the duct supports, to inhibit any transfer of vibrations from the fan.

Independent mounting arrangements were used to isolate exhaust transition section

and the test section from fan induced vibrations and pressure fluctuations. Vibration

isolation was provided at the flange connection between the exhaust transition section

and downstream extension section, as well as between the exhaust transition section

and the motor housing.

Following facility construction, an extensive shakedown and calibration program

was conducted to confirm flow quality in the inlet section and assure no flow separation

in the diffuser section. Both laminar and turbulent inlet boundary layers were validated

by hot-wire measurements. Flow uniformity in the inlet section was confirmed by

pressure and laser velocimetry surveys.

2.2 Instrumentation Description and Calibration

The primary instrumentation was designed for non-intrusive flow measurements

utilizing a three-component, laser velocimeter (LV) and wall static pressure gauges The

LV utilizes two color beams and Bragg diffraction beam splitting/frequency shifting to

separate the three simultaneous, orthogonal, velocity vector components. The LV signal

processors determine the digital values of velocity from the seed particles crossing the

laser beam probe volume. To improve and speed up digital data acquisition, the LV

processors were designed around an S-100 bus Z-80 microprocessor which provides online, near-real time data reduction This on-line data was acquired and recorded for

off-line detailed analysis. To qualify the measurements as "benchmark" data, the LV

data was compared with both pitot probe and hot-wire anemometer measurements for

flow conditions which permit comparisons.

Total and static pressure distributions were measured at the selected measurement

stations and along the duct walls. Total and static pressures measured at the exit of the

duct inlet section were used to control the duct flow. Static pressure ports distributed

along the centerlines of all four duct walls provided wall static pressure profiles along

9 -
the side and end walls of the duct as shown in Figure 3.

Nominal bulk flow velocities of 6.0 and 20 m/sec. (20 and 66 fps) were selected

to provide the laminar and turbulent boundary layer flows at the entrance to the turn.

For these velocities, the pressure differentials to be measured are 0.10 and 2.5 cm of

HzQ (0.04 and 0.95 in. of H?Q). To provide accurate measurements within this range, a

Validyne DP103 differential pressure transducer for ultra low range was selected. This

transducer has a combined accuracy of ± 0.5 percent of the calibrated span. The span

can be altered by inserting different diaphragms.

The full scale reading corresponding to the low pressure range measurements is

1.0 cm in H^O, and the scale reading corresponding to the high pressure range was

selected to be 4.0 cm H^O. Since a large number of static pressure measurements were

necessary, two 48 port Scanivalve pressure scanners were used in conjunction with

the Validyne transducers, to multiplex the static pressure readings. Therefore, all the

pressure measurements were performed with three (3) similar pressure transducers, one

for each scanivalve and one monitoring the inlet total to static pressure difference.

Hot-wire measurements were made periodically in the flow for comparison with the

LV velocity determinations. The hot-wires were calibrated in a steady, low turbulence

flow and the direct non-linearized output of the anemometer was recorded. From

these data, statistically defined velocity measurements were determined and compared

with LV measurements from the same flow, to ascertain possible biases in the LV

measurements

Laser Velocimeter System

The laser velocimeter (LV) developed at UTSI and used on the curved duct flowexperiments may be described as two primary systems: (1) optical, and (2) electronic

(ref 2.). The optical system consists of the laser, parallel beam color separator, two

dimensional Bragg cell, lens train, lens train housing, photomultiplier tubes, and mill

bed scanning system. The electronics system consists of Bragg cell drivers and power

amplifiers, signal separator and mixer, simultaneous signal detector, signal measuring

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I I I 1 1

0° —

• Static pressure port

locations, top wall

-j f- Side wall pressure

port locations

Figure 3. Duct Static Pressure Port Location

-11-
electronics, data acquisition computer, and a scan position control system. The LV

system was designed to measure three orthogonal components of velocity and to scan

over a 25.4 x 25.4 cm cross section with a spatial resolution of approximately ± .25

mm.

A sketch of the optical system is shown in figure 4. A Lexel Corp. Model 95-2

Ar4" laser was used in the LV system. This device produces approximately 2 watts of

power in all line operation. It requires water cooling and 208 V, 3-phase, 30 amps/leg

electrical service. The system used the 488 nm and 514.5 nm lines in LV operation.

Guaranteed optical power for the 488 nm line is 0.7 watts and that for the 514.5 nm

line is 0.8 watts.

The color separator is a prism-mirror assembly designed at UTSI. Its function is

to separate the input multicolor laser beam into a parallel set of beams which can be

adjusted in terms of spatial separation and position relative to the input beam. The

color separator consists of two glass dispersion prisms mounted such that the beams

are incident on the prism surfaces at Brewster's angle to minimize reflections. The first

prism provides the initial color dispersion. The refracted 'dispersed beams are reflected

by a first surface mirror to a second prism which further spreads the beams and reorients

each beam such that it is parallel to the original input beam The intermediate mirror

and prisms are adjustable in order to vary beam separation and output position relative

to the initial beam direction.

The parallel beams from the color separator are directed to a single two-dimensional

Bragg cell which is used to split and frequency shift the parallel input beams. Each

input beam is split into four beams of equal intensity originating from a common point.

For a single Bragg cell each set of split beams appears to originate and propagate in a

common reference plane For a two-dimensional Bragg cell, each set of split beams appears to originate at the apex of a pyramid. The two-dimensional Bragg cell is a small

water tank containing two x-cut quartz crystal transducers mounted at right angles

with respect to each other. Each crystal is made to oscillate in an odd overtone

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by a power amplifier referenced to a phase locked loop (PLL) oscillator. The frequency

of each PLL is tunable in order that the transducer can be operated at its optimum

frequency in a particular overtone. The output power of each power amplifier is adjustable from 0-10 watts and allows control of relative beam intensities. The quartz

transducers are cut for 5 MHz fundamental frequencies and are operated in third and

fifth overtones to produce frequency shifts in the beams of 15 and 45 MHz. Frequency

differences in orthogonal beam pairs are 15 and 45 MHz. Non-orthogonal beam pairs

have frequency differences and sums of 30 and 60 MHz. Signal currents generated at

these frequencies are removed by electronic filters after photodetection.

After the beams are split, mirrors and beam stops are used to separate colors such

that two orthogonal velocity components are measured with the 514.5 nm (green) beam

and one component is measured with the 488 nm (blue) beam. All other split beams

and colors are blocked. The green beams have velocity component identification and

directions determined using the 15 and 45 MHz Bragg cell frequencies The blue beam

utilizes a 15 MHz Bragg cell frequency. After the colors are separated, a dove prism is

used to rotate the blue beams such that the velocity component detected by the pair

will be orthogonal to the component measured by the green beams.

A lens was. used to make the green and blue beams focus to a common volume

of incidence. Transmission paths were matched to ensure that the probe volumes are

approximately the same dimension. While the geometry of the volume is that of tu,o

intersecting cylinders, the volume will be contained within a sphere of approximately a

200 //m radius. Folding mirrors are used after the transmitting lens to assure sufficient

adjustment for probe volume alignment.

The entire optical assembly was mounted in an I-beam channel assembly for mechanical stability. One side of the assembly was designed for quick removal in order

to swing the system off the duct for alignment checks, etc. The channel assembly was

mounted on a mill bed which had been modified to hold the channel and to produce

a planar scan. The mill bed has positional resolution of 25 /zm and can be adjusted

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manually or automatically with stepping motors under computer control.

Positioning of the mill bed system at each of the measurement locations in the

duct was accomplished by rolling the system on casters to the desired position. The

mill bed was locked in position with stabilizing jack screws which raised the mill bed

off the caster wheels and leveled the entire system. Zero coordinate reference for the

computerized system was defined at the center position of the window assembly which

was used at all stations. This position was determined by using the optical system with

the blue and green beams to locate the window reference.

LV Data Acquisition

The electronics hardware associated with signal measurement and data acquisition

is described in this section. Velocity was was acquired by three laser velocimeter burst

counters. The fringe counts can be programmed from 2 to 255 which allows the operator

to match the fringe count to the number of fringes m the LV probe volume Each burst

counter is actually a combination of two time period counters, each of which performs an

average signal period measurement. These period counters are started simultaneously,

but one counter, called the short counter, stops after fewer fringe crossing than the

second counter, called the long counter. That is. the short counter measures the signal

time period averaged over N$ signal periods, and the long counter measures the signal

time period averaged over NL signal periods. The significance of long and short is

merely that .Vf, > N$ The signal time period, TL. measured over .\~£ signal periods

and TS, measured over N$ signal periods are given by

in which fck is the clock frequency (250 MHz). HI is the number of clock pulses counted

in time NLT^. and n$ is the number of clock pulses in time i^s'sThe two measurements of the signal time period, ~i and TS should, of course, agree

because the measurements are performed during overlapping times on the same signal

- 15 -
The "aperiodicity" is defined by

I TL - TS

Hard wired logic performs the aperiodicity test for each measurement. The operator

can select a maximum aperiodicity of 1/128, 1/64, 1/32, or 1/16. Alternatively, the

clock counts n/, and HS can be inputted to a computer which performs the aperiodicity test in software, in which case the maximum aperiodicity limit is continuously

adjustable. Experience has shown that TL and 7-5 will either agree closely or disagree

grossly. As a result, mean velocity and turbulence intensity measurements are only very

weakly influenced by the precise value of the aperiodicity limit. Because the hardware

aperiodicity test is much faster than the software test, one normally uses the former.

Simultaneous signal detection in blue/green probe volume is required for turbulent

data analysis. The signal time period measurement process is performed on each of

the three velocity channels. Each burst counter outputs a pulse whose duration is

-\'LTL, called the ACTIVE pulse. The ACTIVE pulses from the three burst counters

are passed to the simultaneity checker. Also, the aperiodicity fail pulse. AFAIL. from

each burst counter is sent to the aperiodicity checker Only those data for which the

three ACTIVE pulses were coincident for at least one instant in time, and for which an

AFAIL pulse was not produced by any of the burst counters are passed to the computer

which records the velocity data.

The LV optical system was configured as a Bragg-shifted, two-color, velocimeter

In essence, it is the orthogonal combination of two, two-component systems. Two

PMT detectors were used and, hence, two UTSI LV signal receivers were required for

frequency multiplexing two components of velocity from a single PMT signal.

The signal splitter divides the total signal amplitude into two equal parts, each of

which is passed to a signal processing channel consisting of a double balanced mixer.

PLL local oscillator, low pass filter and burst counter LV signal processor. The signal

channel responsible for processing signals produced by the 15.0 MHz Bragg transducer

is called the 15.0 MHz channel, and the other signal channel is called the 45.0 MHz

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channel. The LO (local oscillator) port of each mixer is driven by a PLL whose frequency is adjustable. For each signal frequency which appears in the mixer's input (its

radio frequency, or RF, port) the mixer's output (its intermediate frequency, or IF,

port) contains the sum of this frequency and the local oscillator frequency. However,

the mixer output is passed through a low pass filter which lets through only those

difference frequencies which fall within the passband of the filter.

The signal frequency produced by a particle at rest, /„, is the difference between

the frequency of the local oscillator, /£,o, and the Bragg excitation frequency, /g,

fo = fio - fe

A component of velocity for a moving particle is found from the difference between

fo and the frequency of the output of the low pass filter, /. The latter is measured by

a burst counter LV signal processor. (Actually, the burst processor measures T. the

signal period averaged over some integer number of periods). Velocity was computed

from the equation

v = <5(/,, - /)

in which 6 is the fringe spacing (i e . distance from one interference fringe to the next)

The magnitude of a component of velocity was determined from the absolute value of

fo - f. and the sign of the component of velocity was determined from the sign of /_•, - /.

The LV translation table was controlled by the same computer which controlled

the burst counters. A disk file of xyz positions was created for each desired flow profile

and the data acquisition was automatic. In order to minimize operator error, the

acquisition was automated as much as possible.

LV Calibration

Instrumentation and facility calibration was accomplished before the detailed flowfield measurements were obtained to assure benchmark quality data. The following

paragraphs describe briefly the calibration standards and techniques for all instrumen-

- 17 -
tation. The calibrated instrumentation was first used to calibrate the facility (i.e. bulk

velocity) and confirm core flow uniformity and boundary layer characteristics.

The precision Validyne pressure transducers were calibrated before and after each

data run with a precision slant manometer with full scale range of 13 mm H20 and an

accuracy of 0.1 mm H-zQ. These pressure transducers have a very linear response with

demonstrated repeatability and accuracy of ±0.5 percent of calibrated span.

Two techniques were used to calibrate the Laser velocimetry (LV) system for mean

flow velocity. Then a single hot-wire system was used to check the mean turbulence

intensity. A direct and absolute end to end calibration of the LV system was accomplished using a spinning wheel device. A small target wire attached to the spinning

wheel was rotated through each set of orthogonal fringes at a known velocity. Errors in

knowledge of wheel radius and rotational speed were determined to be <0.5 percent of

the 20 m/s calibration speed or 0.1 m/s. Tunnel velocity was also determined by pitotstatic pressure measurement which was then compared with LV measurement. Due to

the small pressure differentials associated with 6 and 20 m/s flows, the pilot-static determined velocity was at best a :rl.O percent measurement. During the experimental

program, differences between pitot-static velocity and LV velocity measurements, at

duct centerline, greater than ±1.5 percent were cause for recalibration

Since the hot-wire anemometer is a well established measurement technique for

turbulent flow properties measurement, a single hot-wire probe system was used to

validate the LV measurements. Figures 5 and 6 show a comparison of mean velocity and

turbulence intensity measurements taken by hot-wire and LV. In regions of the flowfield

where high velocity gradients occur, the LV system will interpret the gradient produced

velocity differences across the measurement volume as turbulence. This effect will

result in erroneous measurements of pseudo-turbulence in thin laminar boundary layers.

In the turbulent boundary layers and in the mam duct flowfield. the LV measured

turbulence intensity levels were 0.5 to 1.5 percent higher than the hot-wire levels. The

significance of this difference will be discussed in section 4.

- 18 -
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LV Seeding

The development and operation of a satisfactory flow seeding system was a difficult

task which required several iterations. The particles must be small enough to track

the flow accurately, but large enough to scatter sufficient light for accurate signal

processing. The duct flow rates for this investigation were about one cubic meter

per second which required a large amount of seed for an eight hour run. Due to the

health hazards associated with most suitable solid particles such as aluminum oxide

and titanium dioxide, they were rejected.

Phenolic micro-balloons, which are used to reduce density in fiberglass, were found

to be a good seed material. They have an equivalent particle size of 2 microns with

good scattering properties. The micro-balloons were successfully seeded in both a

water-alcohol slurry and in a fluidized bed air seeder. However the phenolic spheres

were easily charged by static electricity and would collect on flow screens and duct

walls. The operational problems of using the micro-balloons \\ere greater than their

advantages.

Water droplets were selected for the complete test program because of their good

scattering characteristics, clean properties and low cost. Water droplet seed must be

in the 2-5 micron size range to minimize particle lag problems. Water droplets as large

as 10 microns followed the steady component of velocity with only a one percent error

at mean velocities of 20 m/s due to the small velocity gradients in the curved duct.

However accurate measurement of the low turbulence intensities associated with this

project requires droplets of 2 microns or less. A water fog sprayer was used to generate

particles in a large room from which the curved duct air was drawn. The larger particles

were allowed to settle to the floow before reaching the inlet Thus a nominal 2 micron

water droplet entered the duct. This technique worked well in the moderate relative

humidity range 60 to 80 percent. L'nder high relative humidity conditions the particles

would grow and under low humidity conditions they would evaporate. Thus testing

was restricted by weather conditions to moderate relative humidity days.

- 21 -
2.3 Duct Flowfield Measurements and Test Conditions

Following checkout and calibration of the curved duct facility and instrumentation

system, detailed flowfield surveys were taken with the three-component laser velocimeter at six duct stations (inlet, 0°,30°,60°,90° and exit). The inlet and exit stations

were located one duct width upstream and one duct width downstream of the 90°

curved section. Six hundred spatial points were surveyed at each of the six measurement stations for two Reynolds numbers corresponding to duct bulk velocities of 6 and

20 m/s. The 6 m/s bulk flow case produced a laminar boundary layer at the entrance

measurement station one duct width upstream of the 0° station. However, due to the

physical size of the large turning duct, laminar flow could not be maintained through

the 90° turn. A hot wire check of the exit station boundary layer confirmed a fully

turbulent flow at bulk flow velocity of 6 m/s. Thus the "Low Reynolds Number" data

has a laminar entrance boundary layer profile with transition to turbulent flow in the

turn. The 20 m/s bulk flow case produce a fully turbulent entrance boundary layer

which of course remains turbulent throughout the 90° turn. Thus the ''high Reynolds

number'' data has fully turbulent boundary layers. At each measurement point approximately 300 data samples were taken by the LV system and processed to yield the mean

velocity and its three orthogonal components along with average turbulence intensity

and its three components. The turbulent cross-correlation terms are not presented in

this report caused by the lack of statistical confidence due to the small sample size.

To provide additional information on the flowfield, static wall pressures were measured along the centerline of each duct wall. The wall pressure data shows the significant

difference in inner and outer wall pressure gradients. In addition to the duct wall static

pressures, the total pressure distribution was surveyed two duct widths upstream of the

0° station. The total pressure was uniform outside of the wall boundary layer which

was approximately one cm thick. The LV survey two widths upstream of the 0° station

also confirmed a flat core velocity profile with thin boundary layer.

For comparison, the experimental data obtained during this investigation was ob-

-22 -
tained at much higher Reynolds numbers and Dean numbers than the data from NASACR-3367, reference 1. (See Table I.) The resulting thin boundary layers yield significantly different crossflow velocity fields which provide a much more difficult baseline

case for the computational fluid dynamics codes.

Table I

UTSI Investigation NASA-CR-3367

Red : 98,000 -+ 328,000 Red : 790 — 40,000

Dt : 45,800 -» 152,800 De : 368 -> 18,700

- 23 -
3. ANALYTIC TASK

To aid in defining the experimental program and analysis of results, and to define the capabilities of state-of-the-art computer codes, this investigation contained a

theoretical fluid mechanics task. A computer code was selected which was capable of

solving the Navier-Stokes (N-S) equations with turbulence models for three-dimensional

internal flow. The selected computational fluid dynamics (CFD) code was adapted to

the experimental geometry and flow conditions of the curved duct. Validation of the

code was accomplished by comparison of results with published experimental results

and by making self-consistency checks of the computer results. Following validation of

the selected CFD code, grid sensitivity studies were conducted to select an adequate

grid spacing for the laminar and turbulent boundary layer calculations. Finally computations for the experimental curved duct configuration were made for comparisons

with experimental data.

3.1 Selection of 3-D CFD Code

Several N-S codes were considered initially. Based on proven applicability to internal flows similar to those in this investigation, two were evaluated in detail. The BrileyMcDonald "MINT"' code and the P. D. Thomas internal-flow code were both considered

acceptable with relative advantages and disadvantages The Briley-McDonald code was

judged more difficult to use and had much less available documentation. Also, the code

was not available to us during the initial portion of the contract period. However, the

"MINT" code had been run on curved-duct geometries similar to the configuration used

in this investigation. The Thomas code, by contrast, has extensive documentation and

had been applied to duct flows, although with different geometries from the present one.

They differ mainly in the treatment of boundary conditions. Both codes are based on

the Beam-Warming implicit, alternating-direction convergence scheme and are similar.

For these reasons the P. D. Thomas internal flow code was selected. It is fully

elliptic with all inertial terms retained. Both cross stream viscous terms are retained,

and only the streamwise viscous term is neglected. The Thomas code uses generalized

-24 -
coordinates and was readily adapted to the curved duct geometry. Both code-validation

and grid-sensitivity studies were conducted and are reported in the following sections.

3.2 Code Adaptation and Validation

The P. D. Thomas internal flow code was obtained from the NASA Langley Research Center and modified for use on the UTSI VAX 11/780 computer as well as

on the,CRAY 1-S computer at NASA-Lewis Research Center. Two test cases were

successfully run to demonstrate code baseline operation: laminar, flat-plate flow, and

three-dimensional flow through a nozzle. Results were successfully obtained for nozzle

throat Mach numbers of 1.0 and 0.5. The results were similar to those for test cases

reported by Thomas (ref. 4).

To'validate the capability of the P. D. Thomas code extensive comparisons were

made with the numerical results published by Briley and McDonald in reference 3

and with the experimental data published by Whitelaw et. al. in reference 1 for flow

in a square cross section turning duct. The comparisons were made for laminar flow

to avoid the uncertanties involved in turbulence modeling The validation involved an

assessment of the adequacy of the N-S solutions with practical computational grids, and

an evaluation of the discretization errors. The basic comparison case was run at Mach

number 0 1 and Reynolds number of 790, based on duct width. Although 20 percent

fewer mesh cells than Briely and McDonald reported were used for the comparison

case, good agreement was found as shown in figures 7 and 8. Note that the comparison

case selected has a large inlet boundary layer thickness of approximately 25 percent

duct width. Both the P. D. Thomas and Briley-McDonald codes produced solutions

that differed similarly from the experimental results. It can be seen that although the

Briley-McDonald results used 69 percent more grid points in the crossflow direction, the

results are very similar The fact that the peak in the experimental velocity profiles is

not adequately resolved implies that both solutions are affected by discretization error

with the grid sizes used. Thus a study of the influence of grid resolution was conducted,

along with, a study of time step size and of smoothing functions for improved accuracy

- 25 -
ORIGINAL PAGE IS

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-27-
and convergence.

3.3 Grid Refinement Studies

The grid selected for the validation case described above had 26 x 28 points in the

cross stream plane and 17 streamwtse planes. To investigate the effects of numerical

truncation error, runs with different size grids were made. The selected grids had

21 x 21 and 32 x 32 points in the crossflow plane and 17 and 33 down stream planes

respectively. Figures 9 and 10 show only small differences in the results, which indicates

a small truncation error. Also, the mesh was locally refined by a factor of three on the

21 x 21 grid near the wall where a peak in the crossflow velocity occurs. No significant

velocity profile changes resulted. For the entrance region profiles and Reynolds numbers

evaluated, the resulting solutions were not sensitive to grid size or distribution. The

discrepancy between the numerical and experimental results remains unresolved. The

results do suggest that state-of-the-art N-S codes may have problems in resolving the

detailed features of any complex flow.

3 4 Numerical Results for Laminar and Turbulent Boundary Layers

Following extensive code adaptation, validation and refinement, flowfield calculations were made for two Reynolds numbers corresponding to laminar and turbulent

entrance boundary layers. Since the calculations were completed before the results of

the experimental task were obtained, the cases were run at the same Reynolds numbers

as reference 1. The laminar case was run at Red = 790. and the turbulent case was run

at R^ = 40,000. Both cases were run at Mach numbers of approximately 0.1. For the

laminar case an inlet boundary layer thickness of 25 percent was selected, again to be

compatible with reference 1. For the turbulent case, the algebraic eddy viscosity model

contained in the Thomas code was used, and the sensitivity to initial boundary layer

thickness was investigated. Comparative runs were made with 13 mm (0.5 in), 25 mm

(1.0 in) and 51 mm (2 in) boundary-layer profiles and identical grid spacing. The 13

mm and 25 mm initial boundary layer solutions were very similar, but the 51 mm

-28 -
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-30-
boundary layer solution was considerably different. These results may be explained,

qualitatively, by considering vorticity effects in the flowfield. In all three cases, the

vorticity entering the duct turn was about the same. In the first two cases, the initial

vorticity was confined to a region near the duct wall, while in the third the initial

vorticity was distributed over 40-percent of the duct half-height. The similarity of the

two "thin" boundary layer solutions may indicate an axial numerical diffusion caused

by insufficient grid resolution for the large gradients in the boundary layer, or may be

a realistic physical result where the downstream flow depends on only the total inlet

vorticity as long as it is confined to a thin region. Indeed, Thomas has even suggested

that the number of grid points in the boundary-layer region be reduced to one. A check

on mass conservation was made for both the laminar and turbulent flow calculations,

axial mass flux was integrated over each cross section plane, the resulting mass flow

variation was less than 0.5 percent.

Figures 11 and 12 present the calculated axial velocity profiles for the curved duct

exit station (B = 90°) for the laminar and turbulent cases, respectively Note that

both sets of velocity profiles are very similar and do not show significant influence of

Reynolds number or boundary-layer tubulence. Although figures 11 and 12 agree vvell

with Whitelaw's results from reference 1 for thick boundary layer flow at low Reynolds

number, the next section will show less satisfactory agreement with experimental data

Figures 13. 14. and 15 present the calculated crossfiovv results for axial stations

0 = 30°. 0 = 60°.9 = 90°. The resulting circulating flow pattern, which contains

high crossflow velocities in the boundary layer, is dominated by the thickness of the

inlet viscous layer. Lack of agreement with the experimental data presented in the

next section can be attributed to insufficient grid resolution and unrealistically thick

entrance boundary lavers for the numerical solution initial conditions.

- 31 -
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-32-
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-36-
4. PRESENTATION OF RESULTS

The experimental data was acquired at two flow conditions, one at a low Reynolds

number (98,000) corresponding to a duct bulk flow velocity of 6 m/s, and one at

a high Reynolds number (328,000) corresponding to a duct bulk flow velocity of 20

m/s. The low Reynolds number flow provided a thin laminar boundary layer at the

entrance to the curved duct (6 = 0°). However, the Reynolds number was too high to

maintain a laminar boundary layer throughout the 90° turn. This transitional flow was

unavoidable because of the large physical dimensions of the curved duct and minimum

stable operating velocity of 4 m/s. The high-Reynolds-number flow provided a thin

turbulent boundary layer at the entrance of the curved duct.

To assure that there were no extensive separated-flow regions in the curved duct,

detailed wall static pressure surveys were conducted at conditions corresponding to the

selected test cases. Inlet and exit total pressure surveys were also taken to evaluate duct

flow quality. Typical experimental data plots are presented in the following section,

and detailed data plots are presented in Appendix A and Appendix B. A complete

set of data from the experiments is contained on magnetic tape at the .NASA-Lewis

Research Center and is listed in Appendix C and Appendix D

4.1 Summary of Experimental Results

Wall Static Pressure Distribution The wall static pressure distributions from the centerline of the suction wall, pressure wall and top wall were reduced to pressure coefficient form (Cp). Figure 16 presents the static pressure coefficients for the low and

high Reynolds number cases. The smoothness of the Cp profiles indicates the quality

of the duct construction and sensitivity of the precision pressure transducers Many

wall static pressure surveys were taken before and during the laser velocimeter data

acquisition and all results were consistent. One of the dominant duct flow characteristics is clearly shown in the pressure coefficient plots. The large axial pressure gradients

on both the suction and pressure walls induce the large crossflows in the low energy

- 37 -
boundary layer. Note that, in non-dimensional Cp form, the pressure gradients are

nearly identical for the low and high Reynolds number cases. The only difference in

pressure distribution between the two cases presented in Figure 16 is the larger Cp drop

along the duct for the low Reynolds number case. This difference is perhaps a result

of a thicker boundary layer for the low Reynolds number flow.

Axial Velocity Profiles The primary component of velocity in the curved duct flowfield

is the axial or z-component. It is the boundary layer generated by the axial velocity

that is driven by the curved-duct pressure gradient to form the complex crossflows in

the y and z directions. Thus, it is important to first consider the development of the

axial velocity in the curved duct. The mean velocities presented in this section have

been non-dimensionalized by the inlet bulk velocity (6 m/s or 20 mis). To correct

all data points to the same bulk velocity, the velocity at the tunnel inlet centerline

(y = 0, z = 0) was utilized as a reference. Data were obtained by computer-controlled

scan files containing twenty to thirty spatial data points. A zero-zero reference data

point was taken at the beginning and end of each scan file to check for tunnel stability.

The velocity components in each scan file were then non-dimensionalized by the average

axial velocity of the two zero-zero data points. An average of all the center-line axial

velocities from all scan files for one measurement station was then non-dimensionahzed

by bulk velocity, and this non-dimensional centerline velocity was used to correct each

non-dimensional velocity to the bulk velocity reference. This somewhat complicated

procedure corrected the entire data set, for one measurement station, for small changes

in tunnel operating conditions. For those applications where actual velocity is required

simply multiply the low-Reynolds-number mean velocities (U, V. W) by 6 m/s and the

high-Reynolds-number mean velocities by 20 m/s.

Figure 17 and L8 present a comparison ot low and high Reynolds number axial

velocity profiles at the Z = 0 plane for all six measurement stations. Note that at

two duct widths upstream of the 9 = 0 entrance to the 90° bend the velocity profile is

uniform with a boundary layer thickness of 5 to 10 percent of the duct half-width. The

- 38 -
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Figure 16. Wall Static Pressure Distribution

-39-
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velocity gradient between the suction wall to the pressure wall is well established at

the 0 = 30° station, and remains nearly constant until suction-wall pressure gradients

retard the flow between 6 = 60° and 0 = 90°.

To illustrate the variation of axial velocity in the 2-direction, Figure 19 compares

the low and high-Reynolds number axial velocities for the 0 = 30° station. Six 2-planes

are shown from the duct center plane down to 4 mm from the bottom wall. Only the

bottom scan shows any influence of the 2-direction velocity gradient. This data has

not been non-dimensionalized thus there is some scatter in the core velocity profiles.

There is, of course, a much greater 2-variation in the axial velocity at stations 0 — 60°

and & = 90°. See Appendix A and Appendix B for additional axial velocity profiles.

Crossflow Velocity Field The crossflow movement of the pressure gradient driven boundary layer has a very important influence on convective heat transfer. Thus the development of the crossflow velocity field in the curved duct was a major area of interest

in this investigation. The crossflow vector plot provides the best presentation and easiest understanding of this flowfield. Figures 20 and 21 show the development of the

low-Reynolds-number crossflow for the 0°,30°,60°. and 90J measurement planes. At

the 0 = 0 entrance to the 90° turn, the suction-wall and pressure-wall gradients have

already influenced the crossflow. which results in a general flow toward the suction wall.

The streamline curvature and radial acceleration effects have already reversed the general crossflow direction at 0 = 30° except for the top and bottom wall boundary layers,

which continue to accelerate toward the suction wall. At the 6 = 60'J plane the classic,

curved-duct crossflow has been established. The magnitude of the crossflow velocities

outside of the boundary layer are generally less than 5 percent of the axial velocity.

However, in the developing boundary layer along the top, bottom and suction-walls

crossflow, velocities of 20 percent magnitude are found. The crossflow velocities reach

a maximum value at the B = 90" plane. The developing boundary layer has been moved

by the strong crossflow and collects near the center of the suction wall in a region of

high turbulence and low axial velocity. Downstream of the 90° plane, the
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STATION 4,0° CROSSFLOW

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-44-
STATION 8, 60° CROSSFLOW

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-45-
strong crossflow toward the pressure wall decays rapidly but the circulation pattern

near the suction wall persists.

The non-dimensional crossflow field for the high-Reynolds-number case is nearly

identical to the low-Reynolds-number flow described above.

Turbulence Intensity Distribution The mean turbulence intensity measurements presented in this section were made with the 3-D laser velocimetry system. Average

sample size per data point was 300 which is considered small for turbulence measurements. (This sample-size limit was imposed by the available microcomputer system.)

A single-wire, hot-wire anemometer was used to check the LV turbulence intensity.

In general the LV measurements of intensity were I percent higher than the hot-wire

measurements. Thus the turbulence intensity values presented in this report should be

considered high by 1 percent with an accuracy of :zl percent.

Figure 22 compares the low-Reynolds-number duct center-line turbulence intensity

with the high-Reynolds-number values. The turbulence distribution is nearly identical

for the two flow conditions. The core-flow turbulence intensity downstream of the inlet

screens was measured at 2-4 percent which is a reasonable level The boundary layer

intensity levels were measured at 6-10 percent which is also typical for thin turbulent

boundary layers. Note that all turbulent intensities were non-dimensionalized with

duct bulk velocity.

4 2 Analysis and Evaluation of Results

The experimental database established by this investigation is of benchmark quality, and the experimental conditions are representative of actual turbine cascade flows.

The experimental Reynolds numbers, Deans numbers and boundary-layer characteristics are significantly different from previous benchmark curved-duc t experimental

parameters Although incompressible, the turbulent flow Reynolds number of 328.000.

based on duct width, combined with a 5 to 10 percent boundary layer thickness based

on duct half-width, provides a very challenging flowfield for CFD code development

-46 -
LOW REYNOLDS TURBULENT INTENSITY DISTRIBUTIONS

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Figure 22. Turbulence Intensity Comparison, Z = Oi

-47-

-. ORIGINAL PASS IS

Of. POOR QUALITY
and validation. The experimental conditions produce large velocity gradients in the

axial and crossflow directions in the relatively thin boundary layer regions. A CFD

code which provides good results for low-Reynolds-number, thick-boundary-layer flows

may not accurately solve the realistic flowfield benchmarked in this investigation.

Since the numerical results were computed before the experimental results were

obtained, actual test parameters and initial-boundary layer conditions were not utilized in the numerical investigation. Direct numerical-to-experimental comparison is

not possible, however, the sensitivity study conducted with the CFD code highlights

several areas of concern. Grid spacing refinement and improved turbulence modeling

are the two recommended improvement areas for making the CFD code results agree

with experimental results. The grid-refinement studies conducted in this investigation

showed only a very small influence on the results, which were in poor agreement with

experimental data. The addition of a simple turbulence model to the CFD computations also showed small sensitivity in the results. Thus this investigation has produced

an experimental database for a relatively simple flowfield which provides a significant

challenge for CFD code development

- 48 -
5. CONCLUSIONS AND RECOMMENDATIONS

This investigation complements the results of Taylor, Whitelaw and Yianneskis,

ref. 1, and extends the experimental database to higher Reynolds number and thinner entrance boundary layers. The 5% to 10% thick boundary layers, based on duct

half-width, resulted in a large region of near-potential flow in the duct core surrounded

by developing boundary layers with large crossflows. The turbulent entrance boundary layer case at Red = 328,000 provides an incompressible flowfield which approaches

real turbine blade cascade characteristics. The experimental results of this investigation provide a challenging benchmark database for computational fluid dynamics code

development.

Based on the CFD studies conducted as a part of this investigation the following

recommendations are offered.

1. The grid spacing that was successful for calculating laminar flow with thick boundary layer will not be adequate for the thin boundary layer case.

2. The thin turbulent boundary layer flowfield will require improvements in both grid

resolution turbulence modeling, and perhaps in the computational algorithms

3. Particular attention should be placed on the distribution of axial calculation planes

in regions of high axial pressure gradient The axial velocity profile must be

accurately calculated to assure proper development of the crossfiow field

4. The importance of the turbulence model and its influence on the CFD results

was not determined in this investigation. However, the database established vsill

allow the future investigation of the inadequacies of locally dependent turbulence

models.

-40, -
LIST OF SYMBOLS

Flow area

Cp Static pressure coefficient -

 p

~

p

*'&

Dh,d Duct hydraulic diameter (width, height)

De Deans number - (rf/2r c )2 Red

f Signal frequency

N Fringe crossing count

n Number of clock pulses

P Pressure

q Duct dynamic pressure (inlet)

Red Reynolds number based on d

Rt Duct inner wall radius

R0 Duct outer wall radius

r,; Mean radius of curvature

U Non-dimensional velocity (j-direction)

u x-velocit\ component

V Non-dimensional velocity (y-direction)

v t/-velocit> component

W Non-dimensional velocity (z-direction)

w 2- velocity component

x Axial coordinate (main flow direction)

y Radial coordinate

z Vertical coordinate

S Fringe spacing

e Aperiodicity

a Turbulence intensity

r Fringe period

- 50 -
REFERENCES

1. Taylor, A.M.K.P., Whitelaw, J.H. and Yianneskis, M.: Measurements of Laminar

and Turbulent Flow in a Curved Duct With Thin Inlet Boundary Layers, NASA

CR 3367, 1981.

2. Farmer, W.M., and Hornkohl, J.O.: Two-Component, Self-Aligning Laser Vector

Velocimeter, Jol. of Applied Optics, Vol. 12. No. 11, November 1973, pp. 2636-

2640.

3. Briley, W.R., Buggeln, R C., and McDonald, H.: Computation of Laminar and

Turbulent Flow in 90-Degree Square Duct and Pipe Bends Using the Navier-Stokes

Equations, SRA Report R82-920009-F, 1982.

4. Thomas, P.D.: Numerical Methods for Predicting Flow Characteristics and Performance of Non-Axisymmetric Nozzles, NASA CR 3157, September, 1979.

51 -
APPENDIX A

Low Reynolds Number Data Red = 98,000

Figure A-l Wall Static Pressure Distribution

Figure A-2 Axial Velocity Profile, Z = 0.00

Figure A-3 Axial Velocity Profile, Z = -0.50

Figure A-4 Axial Velocity Profile, Z = -0.95

Figure A-5 Crossflow Velocity Field, 0 = 0°

Figure A-6 Crossflow Velocity Field, 0 = 30°

Figure A-7 Crossflow Velocity Field, 0 = 60°

Figure A-8 Crossflow Velocity Field, 0 = 90°

Figure A-9 Crossflow Velocity Field, Exit + ID

Figure A-10 Turbulence Intensity, Z = 0.00

Figure A-ll Turbulence Intensity, Z = -0.30

Figure A-12 Turbulence Intensity, Z = -0.60
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A-12
APPENDIX B

High Reynolds Number Data Red = 328,000

Figure B-l Wall Static Pressure Distribution

Figure B-2 Axial Velocity Profile, Z = 0.00

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Figure B-5 Turbulence Intensity, Z = 0.00

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B-8
APPENDIX C

Low Reynolds Number Tabulated Data

Table C-l Station 2, X(H) = 2.0 Entrance

Table C-2 Station 4, 6 = 0°

Table C-3 Station 6, 6 = 30°

Table C-4 Station 8, B = 60°

Table C-5 Station 10, Q = 90°

Table C-6 Station 11, X(H) = 1.0 Exit

The tunnel coordinate positions have been non-dimensionalized on duct half-width

Dh/z. All velocities have been non-dimensionalized on bulk velocity (6 m/s).
Table C-l, Station 2, X(H) = - 2.0 Entrance

ORIGINAL PAGE SS

QF poOR QUALITY

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0.95

O.94

0.96

0.97

.01

. 01

.01

.02

.02

.01

1.O1

1.01

O.99

0.98

1.01

0.99

1.01

0.99

1 . 05

0.99

0.99

1.01

I. 01

1 . 00

1.02

1.01

1.01

1.01

1 . 02

0.98

0.99

1.00

0.99

1.01

I. 01

1.01

n.96

0.91

0.91

0.93

0.9j

0.95

0.95

0.95

0.93

0.92

0.92

0 . 94

0.94

0.92

0.94

0. 94

0.95

0.94

0.96

0.96

u.95

0.94

H.94

o.95

0.93

0.90

0.91

0.92

0.93

0.95

0.95

0 . 94

0.96

0.97

1.01

1.O1

1.01

1 . 02

1 . 02

1.O1

1.01

1.01

0. 99

-0.002

0.000

O.002

0.000

O.003

0.003

0.000

0.002

0.002

O.OOO

O.OOO

0.00?

-0.002

0 . 003

-0.002

0 . 000

0.000

-0.002

-0.002

O.OOO

O.OO2

O . OOO

0.000

0.000

-O.OO2

-0.003

0 . 000

0.000

O.OOO

0.002

0 . 002

O.OOO

0.002

O.O07

O.009

O.ulO

O. OO9

-0. 1103

O. O05

O.OO7

0.003

O.OO2

0.002

0.009

O. OO5

t>. 009

O. 007

0. OO3

o. 003

-0. 002

-O.O03

-0.009

-O.002

O.OO2

0.000

-O. On 2

0 . OO2

(1.005

0. 000

-O . OO5

O.002

0.000

-O.002

O.003

0 . 000

-0.002

-O.002

-0.007

-O.O03

-0.005

-O.O07

-O.O08

-0.008

-0.008

-O.O10

-O.O00

-O.003

-O.O02

-O.007

-i ).007

O.OOO

0.002

O.OOO

O.O02

-0.002

-0.005

-O.O03

-0.005

O.002

0 . 005

0.010

0.074

-O.002

0 . OOO

-0.003

-O.007

-0.012

-0.013

-O .013

-0.012

-0.019

-0 .017

-0.070

-0 .017

-0.017

-0 . O 1 9

-0.014

-0 .015

-O.014

-O . OC)9

-0.007

-0.007

-O . 007

-O . Oft 7

0.012

O. 002

-0.015

-0.015

-O.022

-0.009

-O.OO9

- O . 009

0 . 000

0.070

O.O1O

O.OO3

O . OOO

O.002

0.002

-0.003

-O.O1O

-0.015

0.034

0.029

0.035

0.037

O.040

0.039

0.032

0.032

O.O27

O.O35

O.O34

0. 03O

O.O? 7

0 . 032

0. 034

0.037

0. O30

0. 03?

0.027

0.029

0.027

O.O35

O. 034

0 . 037

O.O49

0.034

O.O29

O.OoO

O. O32

0 . O27

O.O25

O.O25

0.029

0.027

0.027

O . O77

O.027

O.O27

O.O31

O. O '?

O . O7 7

O.O 76

0. 076

0.077

O.O26

O.O ?7

0.027

ft. 036

0 .031

O.O32

O.O29

O.O29

O.O31

O.O27

0 . 026

0 . O3 1

O.O37

0.037

O.O29

0.079

0. O29

0 . 03 1

0 . 026

O.O? 7

O.O26

O.O32

O.

O.

0.

0.

0.

0.

0.

o.

0.

0.

0.

o.

o.

0.

o.

o.

o.

o.

0.

o.

0.

o.

o.

o.

o.

o.

0.

0.

0.

o.

0.

0.

o.

0.

o.

o.

0.

0.

o.

o.

o.

o.

0.

034

029

035

O37

O4O

039

032

032

029

035

034

030

027

032

034

037

030

032

027

029

027

035

O34

O37

049

034

029

030

032

O29

025

025

029

077

027

027

027

ii27

03 1

032

027

f>2h

076

0.027

o.

o.

0.

u.

0.

o.

0.

o.

0.

0.

0.

026

077

077

036

031

032

029

029

031

027

026

0.031

o.037

0.036

o.029

O.O27

0.

O.

0.

o.

029

031

026

077

0.026

O.032

0.024

0.02?

0.024

0.024

0.025

0.024

0.025

0.025

0.025

0.025

0.022

n.022

0.025

0.024

0.024

0.025

0.022

0.022

0. 022

0.027

0.025

0.077

0.077

0.025

0.075

O.024

0. 022

0.022

0.027.

0.022

0.024

0. f>27

0.027

0.074

0.024

O.024

O.024

0.027

O. 076

O.O74

0. 07.4

0.074

0.026

O. 076

0.024

O. 01' 7.

0.024

O.074

O. 029

0.074

O.O26

0.026

0.024

O.O26

0.024

0.077

0.076

0.026

0. 026

0.026

0.076

0.07.4

0.024

0.024

0.024

0.022

0.024

0.025

O.022

0.025

0.024

0.025

0.025

O.024

O.07.5

0.025

O.O72

O. O25

O. 025

O.025

O. O74

0.075

0.022

0.024

0.025

O.024

O.O22

O.O:::

O.O 18

o.oia

O. 02O

0.017

0.015

O.O 12

0.013

0.013

o.oia

0.017

0 .017

0.017

0. 070

0. O20

0.074

o. or?

0.022

0 . 020

0 . 0 1 9

II. O?0

O . u 1 7

0.017

0.019

0 .017

0 .017

O.O19

O. 072

O. O2i>

0. 070

O.O?;.'

0. 024

O.O2O

O. O70

0 . 027

0.070

O.Ot>5

O.017

O. O7i)

O.072

0.020

0 . 0 1 9

0.019

O . O20

0 .019

C-lg
Table C-2, Station 4, 9 = 0°

ORIGINAL PAGE IS

OF POOR QUALITY

0.80

O.70

0.60

0.50

0.40

0.30

0.20

0. 10

0.00

-0.05

-0. 10

-0. 15

-0.20

-0.25

-0.30

-0.35

-0. 40

-0.45

-0.50

-0.55

-O. 6O

-0.65

-O.7O

-O.75

-0.80

-O.Bd

-0. 75

-U. 7o

-O.65

-0.60

-0.55

-0. 50

-0.45

-0.40

-0. 35

-0.30

-0.25

-u. 20

-0. 15

-0. 10

-0.05

0 . 00

O. 10

0 . ?0

O. 3o

0.40

0.50

0.6U

0 . 70

O.flu

O.OO

0.70

O.60

0.5o

O. 40

O.30

O.20

O. 10

0.00

-0.05

O.OO

O.OO

O.OO

O.OO

0.00

O.OO

0.00

0.00

O.oO

o. oo

0.00

0.00

0.00

O.OO

O.OO

O.OO

0.00

0 . OO

0.00

O.OO

0.00

0.00

0.00

O.UO

0.00

-0. 1O

-0. 10

-0 . 1 0

-0:10

-0. 10

-0. 10

-0. 1O

-O. 10

-0. 10

-O. 10

-0. 10

-O. 10

-o. 10

-O. 10

-O. 10

-0. 10

-0. 10

-o. 10

-0 . 1 0

-0. 1O

-O. lo

-o. 10

-O. 10

-o. 10

-o. JO

-o. ro

-0.2O

-O.2O

-U.20

-0.20

-0.20

-0.20

-0.20

-0.20

-0. 20

Urms

1.02

1.03

1.05

1.O6

1.06

1.07

l.OB

1. 10

1. 10

1. 12

1. 12

1. 12

1. 12

1. 12

1. 12

1. 13

1. 13

1. 13

1. 14

1. 15

1. 16

1. 17

1. 17

1. 16

1. 17

1. 18

1. 18

1.17

1. 15

1. 16

1. 14

1. 14

1. 13

1. 13

1.11

1. 12

1. 10

1 . 1 0

1.11

1.09

1.09

1.09

1 . 08

1 . OS

J .07

1 . O5

1 .04

1.U4

1 . 03

1 . 04

1.03

1.04

1 . 05

1.O6

1.06

1.07

1 . O9

i.un

1 .09

1 . 09

u

1.01

1.03

1.05

1.06

1.06

1.07

1.08

1.O9

1. 10

1. 12

1. 12

1. 12

1. 12

1. 12

1. 12

1. 13

1. 13

I. 12

1. 14

1. 15

1. 16

1. 17

1. 17

1. lib

1. 17

1. IS

1. IB

1.17

1. 15

1.15

1. 14

1. 14

1. 13

1. 12

1. 11

1. 12

1. 10

1.09

1.11

1.O9

1 . 09

1 . 09

1 . O7

1 . 0'3

1 . O7

1 . 03

1 . O4

1 . 04

1.03

1.04

1 . 03

1.04

1.O5

1 . O5

1.05

l.Ofc

1 . 09

l.OB

1 . 09

1 . 08

_V _

-0.023

-0.023

-O. O40

-0.045

-0.049

-0.054

-0.058

-0.061

-0.064

-O.O66

-0 . O66

-U.O68

-0 . O68

-0.066

-O.O61

-O.O61

-0.059

-0.054

-0.049

-0.046

-0.045

-O.036

-O.033

-0.031

-O. O26

-O.O26

-O.031

-0.035

-O. 04O

-O.040

-0.041

-O.048

-0. 053

-0.058

-O.O61

-0.064

-O.O63

-O.OA4

-O.068

-O.064

-O.061

-(1.069

-O.062

- i"i . O59

-0.0^9

-0.052

-0.049

-O.044

-O.025

-0.071

-O.020

-0.025

-O.O44

-0.049

— O . O56

-O.H59

-O.O64

-0.065

-O.064

-0.065

W

-O.O18

-0.008

-0.007

-0.005

O.OOO

-0.005

-0.003

0.000

0.003

-0.002

-O.OO3

O.OOO

-O.OO3

0.000

-0.003

-0. 002

-0.003

-O.OO5

-O.OO5

-0.008

-O.OO8

-0.007

-0.007

-o.ooa

-o . ooa

-0.01O

-0.008

-O.O07

-0.003

-0.005

-O.O05

-0.005

-0. OO2

0.000

0.000

0.000

0.003

O.OO'S

O.O02

O.O03

0.002

0 . OOO

u . <XiO

-O.O03

-O.OO2

O.OOO

-O.O05

-O.007

-0.007

-0.010

-o.ooa

-O.O07

O.OOO

-0.002

O.OOO

O.OO2

0.002

-O.003

O.OOO

-0.005

U'rms

0.038

0.030

0.031

O.033

0.031

0.031

O.031

0 . 030

0.028

0.031

O.O30

0.033

O.03O

0.030

0.030

0.03J

0.031

0.031

0.031

0.033

0.026

0.031

0.030

0 . 03 1

0 . 03 1

O.031

O.023

0.028

O.031

0.026

0.030

0 . 033

O. O3O

0.028

O.03O

0.02B

O. O30

U.O31

O.O31

0.030

0.031

0.033

0.031

0.028

O.OZ3

o . r>;r. i

O.O31

0 . 029

0.029

0. 028

O.U36

0.031

0.028

0.031

0.031

0.028

O.O33

0.031

O.034

0.033

-Y _

0.038

0.030

0.031

0.033

0.031

0.031

0.031

0.030

0.023

0.031

0.030

O.033

0 . 030

0.030

0.030

O.O31

0.031

0.031

0.031

0.033

0.026

O.031

0. 030

O.031

0.031

0.031

0.028

0.028

O.O31

O.026

O.03O

0.033

O.O3O

0.028

0.030

0.028

O.03O

0.031

O.031

O.03O

0 . 03 1

0.0*1

0.031

O.02D

o . 028

0 . 03 1

0 . 03 1

O.029

O.O29

0 . 028

0.036

O.U31

O.02B

O.031

O.O31

0.028

0.033

0.031

0.034

0.033

_

V.L

0.045

0.026

0.028

0.026

0.026

0.026

0.025

0.025

0.026

O.026

0.025

O.02B

0.028

0.026

0.026

O.O25

0.026

0.026

0.026

O.O25

0.026

O.028

O.026

O.O26

O.028

0 . 030

0 . 026

0. 028

0.028

0 . O25

0.025

0.0 28

O.O26

O.028

0.028

0.026

0.023

O.026

0.028

0.026

0.026

O.028

0.026

0.025

0.029

0.026

0.02B

0.02R

0.031

0.029

0.026

0.043

O.031

O.O28

0.02A

O. O26

0.026

0.028

0.028

0.033

_ W '

O.O28

0.021

O.023

O.O23

0.021

0.026

0.020

0.023

0.021

0.025

0.025

O.025

0.031

0.023

O.O25

O.O76

0.023

0.026

0.025

O.O25

0.025

O.O23

0.025

0.028

O.025

0 . 026

o.oza

U. O25

0.028

0 . 02c>

0.026

0.025

0.025

0.020

O.O23

0.025

0.013

O . O23

O.023

O.021

O. O2 3

0.075

0.021

O.O2S

0.023

O.O2I

(.1.023

0.025

O.020

O.U23

0. O23

0 . i >25

0.021

0.023

0.023

0.023

O.O25

0.025

0. 023

0.025

C-2
y

-O. 1 0

-ii. 15

-0 . I'O

-it. 25

-0 . 3O

-0 . 3fi

"0 . 40

-0.45

-( ) . 50

-0 . '55

-0 . ii'J

-0.65

-0 . 70

-0.75

-O. SO

-0.60

-O.55

-0.50

-o.47

-0. 4(>

-0.35

-0 . 30

-0.25

-0.2o

-0 . 1 5

-(") . 1 0

-' i . O5

o. oo

o. to

0. ,'o

0. 30

0. 4O

o . 5< t

0 . 60

O. 7(.)

I ) . J3O

0. BO

(). 7 5

o . 7(1

("i . 65

o. do

o.'.S

0 . 50

0.45

O. 4o

O. 3O

o. 20

ii. In

O. oo

— o. 05

-0. lo

O. 15

— O. 7o

-0. "?'i

— II. 3o

--o. 35

-O. 4O

-0.45

-0.50

- 0 . 55

Z

- o .

-o.

-0.

-0.

—0.

-o.

-o .

— o .

— o.

-o.

-0.

-0.

-o.

- 0.

-0.

-o.

-0.

-0.

-0.

-o.

-o.

— o.

-0.

-o.

-o.

-o.

-0.

-0.

-o.

o.

o.

-o.

-0.

— ("1.

-o.

-o.

-0.

-o.

-o.

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—0.

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-0.

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-0.

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-0 .

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-o.

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— o.

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-0 .

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-0.

2o

?o

20

70

2O

7O

20

'.-o

20

TO

l.f.1

2O

2O

;o

r.o

30

30

3'J

3O

3O

3O

3O

3O

30

:.o

3O

3O

30

3O

3o

3o

3i )

3o

30

30

3" )

4O

40

4i>

4O

4O

40

40

40

4O

40

40

4'")

4o

40

40

40

4o

4o

4(>

40

40

4n

40

40

Urms

I . 09

1 . 1 0

1 . 12

1.11

1 . O9

1 . 1 0

1. 12

i . 13

1.13

1.13

1. 16

1.16

1. 16

1. 16

1 . 17

1. 16

1.14

1.13

1. 14

1. 12

1. 12

1.10

1.10

1. 10

i . ov

1 . 08

L . 09

1 . O9

1 .1)7

t . 07

1 . Oh

1 . 05

1 . 05

1 . O4

t . 04

1.03

1 .02

1 . O4

1.04

t . 07;

1 .03

1 .05

1 .()5

1 . 06

1 . Oft

( . 06

1.07

1 .08

I.o8

I . 1 0

1 . 09

I . lo

1 . 1 0

1.11

1.12

1.12

1.12

1.1".

1.13

1.14

U

1 . 09

1.10

1.11

1.11

1 . 09

1 . 09

1.12

1.13

1. 13

1.13

1. 15

1.16

1. 16

1.16

1. 17

1. 16

1 . 14

1.13

1.13

1.12

1.11

1.10

1.10

1 . 09

1 .09

1 . ( 10

1 . O9

i . on

1 . ()7

1.07

1 . 05

1 . 05

1 . 04

1 . 04

1 . 04

1.0'.

1 . 02

1 . 04

1 . 04

1 . 0 ,.'

1 . 03

1 . O5

1 . 04

1 . 05

1 . 05

1 . 06

1.O6

1 . 0! 1

1 . Ofl

1 . O9

1 . 09

1 . 10

1 . 1 O

1. 10

1.12

1.1?

1.12

1 . 1 .„>

1. 12

1.14

V __

-o. 067

-0.070

-O. O67

-0.064

-O.Ot.0

-0.057

-0. O59

-o. O54

-O.O47

-0.047

-0.044

-O.030

-0. 033

-0.031

-0. O23

-0.038

-0 . 038

-O.046

-0.046

-O.O47

-0. 064

-O.067

-O. O72

-O. I Oo

-O.o 72

-O.070

-0. O67

- O.O69

-0.064

-O. O64

-0. O6O

-0.05t>

-O. O54

-O.044

-O.079

-0. 046

-O.O4 1

-O.03I

-O. 034

-0.036

-0. O44

-0.056

-O. O67

-0.082

-O.ORO

-o.o78

-O. 087

-O. OD5

— O. O9O

-0.082

-0.08O

-0. O7 5

-0.077

-0.077

-O. O70

o. 069

-0.069

-I ). Ofi7

-0.067

- O. O64

W

0.

-0.

-o.

-0.

-0.

0.

-0.

-0.

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1.21

1.19

1. 15

1 . 09

1.12

1.15

1. 18

I. 19

1.19

1. 17

1. 19

1. 18

1. 18

1. 19

1. 23

1 . 20

1.21

1 . 20

1. 18

1. 16

1.11

0.85

0 . 94

0.98

0 . 96

1 .04

1 . 03

1 . O2

1 . 04

1 . 05

1 . 04

1 . Of,

1 . 04

1 . OO

1.01

0 . 95

0. 9B

0.86

0. ~l

0 . DS

y_ -0 . 024

-O . O32

-O . 0 1 7

-O . O27

-0.027

-O.i 127

-0.028

-Li . 005

-0.029

-O.019

-O . O24

-0.012

-O.O20

-0.024

O.OOO

-O.046

-O.017

-0.012

-0.022

-O . O2O

-0.022

-O.O14

-O.002

-O.019

-0.013

-0.012

-0 . O28

-O.O25

-0.017

-0 . O2 ?

-O. 032

-O. O13

-•O. O27

-O. 033

-0 . 0?2

-Li . O25

-O.O12

-0.025

-0. OIO

-0.042

-0.042

-O.o?7

-0. 045

-O.U25

-O . 030

-0.022

-0 . 028

-0.03O

-O.027

-0.037

-O.028

-0.039

-0.049

-0.044

-O.065

-O.O35

-O.O44

-0.045

-O.O25

-0.027

w

-O.042

-O.034

-O.022

-0.024

-0.015

-O.O10

-O.O17

-O.OO5

-0.025

-0.012

-O.027

- 0 . O34

-0.027

-0.024

-0 . 03O

-0.020

-0.039

-0.022

-0.022

-0.024

-O. O14

-0.002

-O.OO5

-0 . 002

-0.008

-0 .018

-0.032

- O . LI 1 3

-0.023

-O.022

-O . O30

-0 . 023

-0.027

-0.032

-0.1)18

-0.015

-0.028

-0.022

-O. 01O

-O.005

-0.008

-O.O18

-O.O13

-O.LI25

-0 . O23

-Li. O08

-0 . O 1 3

-O. 027

-O.O13

-0.013

-O.O22

-O.O20

-O.O30

-o.ooa

-O. O30

-O.OO3

-0.010

-0. 007

-O . O08

-O. LllO

U rms

0 . O56

0.052

O.O52

O.O54

O . O57

0 . O59

O.059

O . O66

0. 059

O . O63

O.064

O.058

O.O59

O.051

O.076

0.068

0.052

0.061

0 . 056

0 . 047

O . O69

0 . 056

0.08O

0.091

0 . 085

0 . 085

o . oaa

0.065

O.O58

0 . ( )65

O . O52

0 . O60

0.055

(1.06O

O. 042

0. (147

O . O55

0 . 053

O.O73

0.080

O.075

0.1174

0.054

0.030

0.027

0. O57

0.037

0.02R

O.O44

O.037

O . O39

O.U37

0 . O37

0.052

0.062

0.-165

0.069

o. 100

0. 124

0.081

u'

0.057

0.052

0.052

O.Li52

O.O57

0 . 059

0.059

O . O66

0.059

0.064

O.OA4

O.058

O.059

O.LI52

O.O7S

0.069

0.052

O.O61

0.056

0.049

O.O69

0. 056

0.080

0 . 09 1

O.US5

0.085

0.090

0.067

0 . 058

0 . 067

O . O53

0.060

O . (155

O . (16?

0.040

O. O47

O.O55

0.053

O.O73

O.O80

O.087

0.072

0.054

(1. 1.130

0.027

0.057

0.037

O.028

0.044

0.037

0.039

0 . 039

0.039

0.052

(1.062

0.067

O.069

0. 1O2

(1. 126

0. 082

v'

O.O36

O.O3fo

O.O42

O.O36

0.037

O.O46

0.046

O.O58

O.O63

O.044

0.051

O . O39

O. O32

O.O44

O.O54

0.046

0.047

0.041

O.034

Q.O3O

0.052

O. (164

0.076

0.051

0.048

0.045

O.057

0.043

0.042

0.037

0 . 038

0.033

0 . 05O

O.O48

0. 042

0. 033

0.028

0 . O37

0 . 052

0.068

0. 112

0.059

0.054

0.033

0.028

(1.037

0 . 020

O. O25

O. 025

0.035

O.O30

0.025

0.020

0.039

0.047

0 . 033

O.O28

0.059

0.050

O.047

_

W/

O.O52

0 . 049

0 . 037

0. O32

O. O42

O.O42

0.042

O.O47

0 . 056

(1.03ft

O . O4 1

O.044

O. 044

O . ( >34

O . O36

O.032

0.047

0 . 034

0.024

0.049

0.034

O.D25

0.039

0.047

0.048

0.047

0.055

0. C>40

0.047.

0. 052

O.O47

i ) . 0?B

0 . 035

i). u4Li

0. 043

O. 037

(1. O3 7

0 . 033

O. 038

0. O43

0.0-53

0.045

(1. 045

Li. 03?

0 . O30

O. (123

0 . 032

0 . 037

0.028

(1. (132

0.030

0 . O39

0.042

0.077

O.047

0. O5O

0 . (150

O.O72

U.O78

O.O6':1

C-2J
0. vo

O. 9u

0. 9O

0.9O

0.90

O.90

0.90

0.90

0.90

0,90

0.90

0.90

0.90

0.90

0.90

U. JbO

0.5O

O. 40

0. 30

0.20

0. 10

O.OO

10

0.20

0.30

0.40

0.50

0.6U

0.70

0.80

-o

Urms

O.84

0.84

O.54

0.27

0.22

0.27

0.26

0. 18

0.31

0.23

0.35

0.55

0.49

0.57

0.52

U

0.83

0.83

0.52

0.27

0. 19

O. 19

0.20

0.13

0.26

0.18

0.3O

0.55

0.48

0.56

0.51

V

-o.

-0.

-0.

-o.

-0.

-o.

-0.

-0.

-0.

-0.

-0.

-0.

-0.

-o.

-0.

O3O

029

041

039

028

027

040

030

030

035

066

012

045

037

023

W

-O.

-0.

-o.

0.

-0.

-0.

-o.

0.

0.

-0.

-0.

-0.

-0.

0.

-o.

022

U43

017

025

022

OO2

015

017

002

013

O10

007

005

017

003

U'

0.

0.

0.

0.

0.

0.

0.

0.

o.

o.

0.

o.

0.

0.

o.

rms

oao

101

393

297

168

267

242

202

305

163

277

226

196

130

159

u'

u.oai

0. 100

O.410

0.339

0. 191

O.319

0.280

0.217

0.347

0. 197

0.264

0. 143

0.207

O. 143

0. 164

v'

O.

0.

0.

0.

0.

0.

0.

0.

050

04O

096

455

035

037

048

038

O.027

0.

0.

o.

0.

0.

0.

032

174

048

037

051

056

w'

0.061

O.O5t>

O. 050

0.0313

0. iJt'>5

0.076

0.045

0 . O9 1

0.032

0.071

0.091

0.292

0.018

f).038

o.oai

C-2k
ORIGINAL

OF POOR QUALITY

Table C-3, Station 6, 9 = 30°

y

0.8O

O.7O

0 . 60

0.50

0.40

0. 30

0.20

0 . 1 0

O-Oo

-o. 10

-0.20

-0 . 3O

-U.40

-O.50

-0.55

-0.60

-O.t>5

-0. 70

-0.75

-O.80

-O. 80

-O.75

-O. 70

-0.65

-O.6O

-D.55

-•0.5o

-0.40

-O.3O

-0. 2O

-0. IO

U.OO

0. 10

0.20

O.3O

0.40

O.5o

O. 60

0.70

0 . 00

O.RO

0.70

0 . 60

0 . So

O. 4(1

0.30

O. ?O

u. 10

0 . OO

-O. 10

-11.20

-0.30

-0 . 4O

-0.50

-0.55

-O.60

-0.65

-0. 70

-0.75

-O.BO

0.

0.

0.

0.

O.

0.

O.

O.

0.

O.

0.

0.

0.

O.

0.

O.

0.

0.

0.

0.

-O .

— o.

-O.

-O.

- 0.

-O.

-u.

— O .

-O.

-0.

-O.

-O.

-0.

-O.

-0.

-O.

-o.

-u.

-o.

-o.

-0.

-0.

-0.

-0.

-o.

-o.

-0.

-o.

-u.

-0.

-0.

-0.

--0.

-0.

-0.

-0.

-o.

— ("l .

-u.

— o .

2

OO

>x>

OO

00

00

on

00

00

OO

OO

00

OO

OO

00

00

00

00

00

OO

00

10

10

lu

10

10

10

10

10

10

10

10

10

10

10

10

10

10

to

10

10

20

ro

7O

20

2o

20

20

20

20

20

20

20

20

20

20

20

20

20

?0

MO

u

0.

0.

0.

0.

0.

1.

1.

1 .

1 .

1.

1 .

1.

1.

1.

1.

1 .

1.

1.

1.

1.

1.

1.

1 .

1 .

t .

1 .

1.

1 .

1 .

1 .

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1 .

1 .

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0.

o .

o.

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o.

0.

0.

o.

0.

0.

0.

1 .

1 .

1.

1.

1.

1 .

1.

1 .

1.

1.

1.

1.

1.

i.

rms

90

92

94

95

98

01

02

02

05

08

08

11

12

17

17

18

70

23

24

23

24

22

21

2O

1'?

13

1<>

14

1 1

09

06

O4

01

01

99

76

95

93

91

na

a?

9?

94

96

97

99

O2

05

07

09

11

13

16

18

2o

20

21

22

24

25

U

0.90

O.92

0.93

0.95

O.9B

1.01

1.02

1.02

.05

.oa

.00

. 10

. 12

. 17

. 17

. 18

1 . 20

1.22

1.23

1.22

1.24

1 .21

1 .21

.20

. 1'?

. 18

. 16

. 13

1.11

1 . 09

1 . 04>

1 . O4

1.01

1 .01

O.99

0 . 9b

(> . 94

0.93

0 . 90

0 . 8H

o . R6

0.92

0 . 93

O.96

0 . 97

0.99

1.02

1 .04

1 . 07

1.O9

1. 10

1 . 13

1. 16

1 . IB

1 .20

1 .20

1 . 20

1 .22

1 . 23

1 .25

V

0. OO9

0.014

0.017

O.016

0.022

0.028

O.019

0.024

O.029

O.029

0.033

O. 038

O.029

0 . O3 1

0 . 022

O.026

0.028

O. 031

O.022

O. 016

O.021

0.017

0 . 0 1 9

O. OZ6

O. 028

O. 022

0.031

O . 033

0 . 038

O.033

0 . 033

O.029

0.0 If,

0.015

O. O07

0 . 0 1 4

0 . 005

O. OO7

0 . oo .;

0 . 0 1 0

0.01 5

0.010

O.002

O. OO7

0 . 0 1 0

O.017

0.015

0 .014

0.014

O. 020

0. 020

0.019

0.024

0.025

O.020

0.025

0.0?7

O. 022

O.0?4

0. 015

W

-0.007

-0.010

-0.003

0.002

0.003

O.OOO

O.002

O.OO2

0.003

O . OOO

-O.OO2

-O.OO9

-0.007

-O.O14

-0.014

-0 .014

-0.016

-O.O19

-0.021

-O.O19

-O.O19

-O.O12

-0 .01?

-0.012

-0.014

-0.0 IO

-0.009

-0.009

-O.OO5

O.OO3

O.OO2

0 . OOO

O.O07

O. O02

0.008

O. OOO

O.002

-0. OO"3

-0.012

-0.019

-O.022

-0.017

-O.012

-O.O02

O.O07

0. 005

O . OO5

0.003

0.005

0 . OO3

0 . 000

-0.003

-0.007

-O.OO8

-0.0 10

-0.015

-O.015

-O.O17

-0.017

-O.O22

U rms

0.045

O.O47

0 . 04 1

O.O43

0.048

O.045

O.O41

0.045

O.O45

O.O43

O.O43

O.O43

0.041

O.O43

O.O40

O.O36

0.045

O.048

0.041

0.043

O.047

O. O45

O.047

0. O45

0.047

0.041

0.045

O.O43

O.O47

0.041

0.043

0.047

0.044

0 . O4 1

0. 042

0.042

o.or.9

0 . O4 1

O.O44

O. O46

0. 056

0. 046

0.044

0 . 039

O.O41

O.042

0 . 04 ,'

0.041

O. 044

0.042

0. 046

0. 04 t

O.044

0.044

0.042

0.042

O.O46

0.041

O. O42

0.046

u'

0.045

O.O47

0 . 04 1

0.043

O.048

O.O45

O.041

O.047

O.045

O.043

0 . O43

O.043

O.041

O.043

O.040

O.O36

0.045

0.048

0.043

O.O43

0.047

O . O45

O.O47

O.O45

0.047

0 . 04 1

0.045

0. 043

0.047

0.041

O.04 3

O.047

O.O44

O.041

O.042

O.042

O . i >7.9

O.O41

O.044

O. O46

O.056

0.046

O.044

O.039

0.041

0.042

0.04?

0.041

0.044

0.042

0.046

0.041

O.044

0.046

O.042

0.042

0 . 046

0.041

O.O42

0.046

v'

0.047

0.038

O.O34

O.O38

0.033

0.03B

0.033

O.O34

O.O33

0.033

0 . 034

0.034

0.034

0.038

0.034

O.O31

0.031

0.038

0.036

0.033

0. 033

0.033

O.O34

O.033

0.034

0.036

0.03B

0.033

O.O34

0 . 036

O.O31

0.033

0 . 034

0.034

O.O34

O.034

O . O32

O.036

0.042

0.047

O. O44

0.039

0 . 039

O.O34

0 . 036

0 . 037

0.036

0.032

0 . 037

0.034

0.034

0.032

0.036

0. 034

O.O36

0. 036

0.032

0.036

O. O36

0.034

w'

O.03S

0.028

0.022

O.O19

0.022

O.024

0.019

0.024

O.O24

O.022

0.0 28

O.O26

O.O2&

C.i. 031

0 . 026

O.O24

O.028

O.036

O.O38

O.029

O . O3fa

O.O26

0.0 "

O.O31

O.034

0. 029

o. 020

0.029

O.O28

0. 024

o. O22

O.026

0.024

0.02",

( ) . 0 1 7

O. 024

0 . 0 1 '/

O, O22

0.0 ?1

0 .041

o. 041

O. O29

0 . 027

0 .019

0.022

0 . 0 1 9

0.024

O. 027

o. 024

O . O29

0 . 025

0.024

0.029

o. 025

O.O32

0.032

0 . 032

o .032

O.O34

O. O3"!

C-3
ORJGSNAl PAGE 58

POOR QUALITY

y

-O.80

-0. 75

-0.7O

-0.65

- O.hO

-0.55

-0 . 5O

-0.40

-0. 3O

-O.2O

-u. ID

O . OO

0. 1<")

u . 2O

0 . "."O

0 . 4O

0.5O

0 . 60

0 . 7(~>

O.80

0 . BO

ft . 7O

O . t\f>

0 . SO

O.40

0.30

0 . 20

U. 10

0 . Oi )

-0. JO

-( i . Z.f>

-U. 3O

-LI . 4U

-0 . 5O

-0 . 55

-o . 60

-U. 6*5

-<i. 7(1

-0. 75

-O. 30

--0.8O

-0.75

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-O.65

-U. 6')

-U . 55

-0.50

-(I. 40

- 0 . 3O

-0.2o

-U. 10

O. OO

o. 10

0. 20

0. "JO

O. 4O

u. 5o

0 . 6O

o. /o

o. no

-0.

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-0 .

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r

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30

30

"•0

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3D

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30

30

30

30

30

3O

3O

3d

30

30

30

~;o

3O

40

40

40

40

4(>

40

40

40

40

4O

'4u

4U

40

40

4o

40

40

40

40

40

5O

50

50

SO

50

so

5O

50

5O

SO

5O

'JO

5o

5o

5o

5O

5O

50

5'i

50

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i .

1 .

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0.

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ft.

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25

24

23

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0.',''-,4

0.051

O.'i/^

o. i.i76

o.u79

O.ir/'")

0 . 1 165

O.O67

0.049

0.044

0.045

O. U34

0 . o,:.5

O . f 149

o. o34

O . i ii 5

O. 04 '",

o. ot'5

O. <><ici

O . OO 1

O.O97

0 . t I 7

o. o1,

1

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o . 73O

1 1 . 0 / 6

(.:. on ',

O . ( iSO

o . i in .'.

' >. 0*7 ..

o. on 2

O. 075

0. O7 O

O . ( i£(.~

O. 070

ii. Oil"'.

O.OH7

o. 1 07

( 1 . 1 O7

0.425

O.095

0 . 1 O9

0. li)5

0. 104

1 1 . 095

1 1 . 098

I'l . 09 7

0 . 1 Oo

o . o ; t

O.U69

U. O7D

o. 070

0. 1"2

O.I '97

0. 124

0. 130

0. 112

_j/_ _

O. O44

0.054

O.04V

O.042

o. 045

0. O35

o. 04O

O O4J

o. O54

o. O^l

O.n/2

O. O76

0.079

O. 077

0.067

0.07O

0. OSO

O. 045

0 .045

O.O34

0. O.'.S

0.049

0. 1)34

IJ. 035

0 . O4'j

O. o=,5

0. fit ft

O . OB 2

0.097

o.ll 9

O. o75

0 . 253

o . u 7 B

i"i . ( 1(73

'"i . ota • i

o. on 5

O . 1.19 .'

O. on;

0.07';,

O. o70

0 . OH7

0. 1)70

O . OB3

o . on 7

O. 1'C

O. 1O7

0. 45o

0.095

n. 11 1

0. 109

0. U'5

0. 07 "5

I). U>0

O.093

0. 10?

0.071

0 . O 7 1

0. 079

O. 073

U. Io4

O. 097

0. 174

U. 1 33

0. 114

_v'

O. 035

O. O34

0.037

0.035

0 . 034

O. O34

0.077

O. O34

1 1 . O39

O. 039

0. 04O

O . O45

0. O64

O. O45

O . O5?

0. 044

O. 037

0. 037

0 . 035

O . O3O

0. 079

O . O34

O. O77

O. 075

0 . i '34

o. 037

i"i . O '4

0.042

0. 057

0. O7O

0. 058

O.O54

O. 049

O. Ut2

U.o4fJ

0 . 039

O . O39

o. O34

0 . 036

0.037

0 . ( ),36

O. 037

O. O44

0. 051

0.05'

("1 .065

0 .06)

O.054

1 1 . O66

0 .055

0.052

0.047

i'i . OI 8

0.043

O.O35

0 . O 2O

o . o r. i

o. 035

0. 036

O.O45

O.059

O.062

0 . 07 1

0.069

_wi_

O. O47

1 1 . 047

f i . 04 t

o. O47

o. n49

o. 044

O.O4".

0.|'4;

0.0'i (

i ) . O54

O.i I'M

o. Obfa

O.O59

O. O5 2

0 . Or",9

O. o';i4

0 . 0 <1 0

0.040

O.O45

O. O37

O. o3lr<

o. u"* ;

o . o ' r,

f ) . i ) "*. 7

o 044

O.047

o. ()47

o. O54

O. of-i7

1 1 . O69

O. i.)'5r

o.i )S9

O.O 5 6

(i. in(H

'i. 04 1,

0. 0" i

o . o 4 4

O. O *"/

i"i . 1 1 "" 7

o. o 74

o 044

o. o34

o. <>4 1

0. 051

O. OrjV

0 . ( >66

o. o!Ti '•

O.o62

o.o78

O 067

o . 1)57

' i . f)5( )

O. O4I5

O. O41

0. i "4 ^

O. 07?

o.O :.3

O . o 1 1

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O. ' i4 "i

o. OrjO

0 . O57

n.0/9

O.064

C-3g
ORSG3SW PAGE SS

OF POOR QUALITY

Table C-4, Station 8, 0 = 60°

y

O.Sn

0 . 70

0 . 60

0.50

0.40

C>. 30

o. 20

». JO

O. f)u

-0. 10

-i). ?n

-o. :v>

-ii. 4u

--U. "5 u

-0.55

-0.60

--0.65

-0.70

-0.75

-O . £30

- 0 . BO

-0 . 75

-u. 70

-0.65

-U. 6<>

-u.55

-U.5U

-<l. 40

- o . ;M )

-O. 2O

-o. 1O

1

 > . oo

U . 1 • 1

( i . r o

1 1 . '.! )

U. 4'J

O. So

i>. 1,0

11. 70

1.1 . fit I

U. lid

U. 70

O.oO

< 1 . 50

0 , 4<_i

U. 50

ti.20

o. 10

O.no

-u. to

-o. :"-<)

-0.30

-O. 4(1

-O. 'in

--0.55

-O. 60

-o.6i

-u . 7u

-0.7-5

-0 . 3u

Z

o.

o.

0.

0.

0.

0.

0.

o.

o.

II.

0.

0.

II.

0.

0.

0.

(>.

0.

u.

0.

-0.

-u.

-u.

-o.

-o.

-u.

-u.

— o.

-0.

-0.

-II.

-O.

-I).

- '">.

o.

-o.

o.

-o.

0.

-u.

o.

"II.

-',1.

-o.

-o.

-o.

-o.

-o.

-u.

-u.

-o.

-0 .

-II.

-0.

-0.

-0.

- o.

-O.

-II.

-0.

oo

00

oo

oo

oo

oo

00

oo

00

00

OU

On

(lO

oo

U'l

00

On

00

on

00

10

to

III

10

10

III

lo

lo

10

10

10

lo

10

lo

10

Jo

HI

11)

10

10

i.'u

..'O

^1 1

ro

20

JO

2o

:o

20

Zo

20

2o

20

To

"*o

2o

/o

20

2O

?o

Urms

0 . Q3

o.as

0.91

0.93

0.95

0.97

0.99

1.O1

1.O3

1 .06

1 . 07

1.11

i . 12

1 . 15

1. 16

1. 16

i . ta

1 . 20

1 .71

1.22

1.2?

i . 2o

1.19

1.19

1.16

1. 15

1.14

1. u

1 . 0V

1 . OB

1 . 06

1 . 03

1 .0)

l . ou

0. 97

0.95

0 . 94

0. 9-J

0.87

U.FIG

0.85

u.oa

0.91

O.93

0.96

0.98

1-.0.0

1 . 02

1 . O'.

1.06

1 .08

1 . lo

1.13

I . 15

1.17

1 . 17

1 . IB

1 . 20

1 .22

1 . 22

U

O.S3

0.87

O.90

0.93

0.94

0.97

O.99

l.ol

1 . 03

1 . Gil

1.06

1.11

1. 1 1

1. 14

1. 16

1. 16

1.17

1. 19

1.21

1.21

1.22

1 . 20

1. 19

1. 1H

1.16

1. 15

1 . 1 -~>

1. 12

1 . 09

i . oa

t . 06

i . or.

1 .01

1 . OO

O. 9/

O. 74

0. >4

0. 92

0 . 1:1 >>

0 . £.15

o.£3.-;

O.HB

(.1.90

0 . 92

0 . 96

0.97

1 . ( iO

1 .01

1 . 02

1 . 05

1.0H

1.10

1.13

1. 15

1. 16

1. 16

1. 17

1 . 20

1.21

1 . 22

_ V _

O.003

0.002

0.01O

O.O1O

0.02O

0.02B

0.020

o. 03 a

O.O40

0 . 04O

0 . O50

O . OS 1

O. O61

0.070

0.071

0.075

0 . 07O

0.063

O.O76

O.065

O.I >70

0.073

0 . 07 1

O.O75

O.OXO

O. Ot>3

0. 068

0.056

0.047

O.047

0.045

0.07.5

u.ova

O. O3O

O. 027

o. 020

o. oro

ii. oo5

o.oo?

0.003

o.oto

0 .013

0.012

0 . 0 1 2

O. Oj 2

o. 03 3

U. o32

0.04O

( l . O''. 7

0.042

O.O45

0.043

("i . 050

0 . 064

0.072

0.070

0.074

O. 074

o. 075

0.077

W

-0.

-0.

-0.

-0.

-0.

-0.

-o.

-o.

-0.

-0.

-o.

-0.

-0.

-o.

-0.

-0.

-0.

-0.

-0.

-0.

o.

-o.

-o .

-0.

- II.

- o.

—II.

-o.

-I.I.

-0.

-o.

-o.

-o.

-( 1 .

-0.

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-o.

-o.

o.

o.

-0.

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~o.

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-0.

-o.

-o.

-0.

-o .

002

OO5

O07

O10

017

O12

GIB

O08

0 1 0

012

Ot3

015

015

017

020

012

003

010

003

O02

012

007

O13

O15

022

oia

O2B

O22

018

018

01 7

008

008

013

013

012

uon

ooa

OOQ

003

003

1 IO7

018

O22

015

0 1 7

015

012

008

012

O2;.'

O2 2

-O.O23

-o. 023

-0.028

-o.

-o.

-o.

O2 2

02 ••.

oia

-O. olo

-0.002

U'rnis

0.068

O.O6O

O.O48

0.048

0.045

O.O43

O.O45

O. O4O

O. O42

0. O42

O . O45

O.O42

O.O4r.

0.043

O . O50

O.O45

0.041

0.048

O.O47

0.05O

O.047

O. O4O

O.O47

O . O4 3

O.O4H

O .i">47

o. 047

U.O45

0.043

0.043

o. 045

0 .047

o. o4o

0. O37

O.O42

O. 041 1

O. 04 O

O. (>,"

1 1 . O5'_i

O. O67

O. O65

0 . O65

0. 052

0.043

o. 045

O. 045

0.045

O.O43

O . O48

O.O45

O.O47

0 . 05O

0 .047

O.045

O.048

O . O4 5

O. O4f3

0. O53

O.O4R

O.048

U'

0 . O7O

0.061

O.05O

O.04Q

O.O45

O.O43

o. 045

O. O42

O.043

0.042

o. 045

o. O43

0 . 04 3

O. 043

o.OSo

0.047

0.043

0.048

0.047

O.051

0.047

O. O5O

0 . O4 7

0.043

0.04B

O.U47

O. 047

0. O45

0.043

0.045

0.045

O.O47

0.042

o. o3a

0.042

O. O40

0.040

O. O33

0. OGIi

0 .067

O.OiiS

O.O67

0 . 052

0. 050

o. O45

O . O45

o. O43

O.04 j

O.048

O.045

O.04H

0.052

0.047

O.O45

0.04R

0.047

0. 050

0. O53

o. O40

O.O43

_vl.

0.061

0.055

0.050

O.042

0.038

0.038

O.O43

O.O38

O. i.)4O

O. 04O

O.040

0.037

O.04O

0.037

O.O42

O.043

0.035

0.037

0.037

O.040

O.O-.B

O.O35

O.07.7

0. 042

0.042

0 . 038

0. O43

0.043

O.O45

O. O42

0.038

O.O42

0.038

o.O47

0 . 0 :,B

0. O45

O.047

'"i. 055

o. 067

0.062

O. O62

0.055

0.0 4 £3

0.047

O. 047

0 . 04'5

0.047

0. 043

0 . 05O

O.O45

O.O47

0 . 053

O. O40

0. 043

O.042

0.045

0. O43

O.O4O

0.03EI

0. 040

_w_' __

0 . 055

0. 042

O.O42

0 . O30

0.038

0. 038

O.O35

O.O4O

O. O4 U

0 . 037

o. o^o

O. u37

0.035

O . o3 7

O. 04 O

O. 040

O.O3X

o. O42

O.038

O. 038

0 . 03H

O. O4 j

o . 04 T.

O.040

O. O4u

o . < 13 7

0 . 0 :.8

1 1 . O35

O. o;.".'

( i . O40

o. u~'.~;

(.'. 033

( i . 035

i ' , o 3 o

<>.n ".'",

o. o_*5

0. O". ,

O, O '.O

0. O4'i

O. (>43

o. O4/

O. o43

0 . 0 ' J

O.O35

O.03'j

0.035

0.037

o. i>37

o. "4V

0. O4 2

0 . ( CO

O. O4O

o. !.'33

<i.o3S

0 . 037

0 . O38

( i . OTO

( i . O4 '

0.045

0 .047

C-4
Urms U rms u

-o. 80

-O. 75

- 0 . 7 0

-O.65

- 0 . 6O

-0.55

-0 . 51 )

-O. 4o

-( i. 3( i

-o . 20

- ("1 . 1 ' )

Ci.tm

n. In

O. 2O

0 . 30

O.4O

0. 50

( ) . 60

0. /O

1 1 . HO

(I. 00

o . / o

0 . 61 1

0.50

o. 40

O. ".0

0 . " o

O . J 0

O . i )O

~( i . L O

-(>.?( >

--O. 3o

-0. 4O

-d. 50

- O . '.V.";

-0. An

-O. 6!"i

-o. 70

-0. 7G

-0 . 80

-O. So

-O. 75

- o. 7o

-( 1 . 65

- 0. 6O

- ( ) . ci

c

"i

-O.'Jji)

-0 . 4< I

-0. 30

--o.

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- 0 . 1 < i

1 1 . OO

n. I'l

o . Jo

0.3IJ

0 . 4O

O . TiO

0. ,•>')

0.70

o . ru i

-0.

— o.

-o.

-0.

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-0.

-0.

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— o.

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— o.

30

3O

3O

30

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30

".O

3O

3d

3d

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3o

3(J

3O

"JO

3o

7.0

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31.)

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£38

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84

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72

74

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O'-j

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10

17

14

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19

71

24

10

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12

70

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1 1

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01

79

77

74

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1 . 72

1.71

1. IV

1 . 18

1. 16

1.16

1.15

1. 12

1.10

1 . 07

1 . 05

1.05

1.01

0 . 99

0.96

0.94

0.74

0.91

0 . 81.1

0 . 05

0.04

0 . 88

0.91

I ) . 73

0.95

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1 . O' )

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1 . O ''.

1 . 04

1 .07

1.10

1.11

1.14

1.17

1 . 10

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1.74

1 . 7O

1. 16

1.71

1 . 20

1 . 20

1.10

1.16

1. 15

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1 .07

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O.7V

0 . 97

0 . 94

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0.90

0.86

O. 004

O.075

O.O77

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( 1 . 071.)

0. 072

0.070

0 . 057

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0.052

O. 047

O.O48

o. 042

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0 . 037

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0.015

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O . OOO

O . OO7

o. o;?o

O . O77

O. 0?o

o. 047

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O.043

0 .047

o. 057

0 . 1 >6O

O. O70

O. o65

O. 077

O. O77

O.O77

0.048

O. Oil

0.071

0.073

0.038

O. O43

O.040

O. o36

O. (.141

O. 041

O. 04 ;.

0.046

O. 045

o . O50

O.043

0.043

o. o ;s

0. O28

0.026

0.017

O.OOH

0. Oo 7

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0. OO7

O.003

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-0.022

-O.O28

-0.028

-0. 030

-0 . 028

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-0.002

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-0 .018

-0.013

-O.005

-O.O12

-O.O17

-O.O30

-0.027

-0. O23

-O.077

-0 . O08

-O. OO3

-0.077

-O. O37

-O.07R

-o. 03."

-0 . O 22

-O.O23

—0 . o 1 J

-O. 005

-O.O15

-O.O23

-O. O7B

-0.037

-O. o35

-0.033

-O.O37

-0.028

-O. O35

-O.O31

-O.O76

-O. O36

-O.051

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0.045

O. 047

0 . 040

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0. 047

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0.274

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0.043

0.057

0. 137

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O . O64

0 . 065

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0.091

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C-4i
ORIGINAL PAGE IS

Table C-5, Station 10, 9 = 90° OF P°OR QUALITY

O.OO O.OO

O.70 O.OO

u.60 0.OO

0.50 0.00

0.40 O.OO

0.3O u.OO

O.20 O.OO

O.10 O.OO

O.OO O.OO

-0.10 O.OO

-0.20 O.Oo

-O.3O O.OO

-O.4O O.OO

-0.50 u.OO

-O.55 0.OO

-O.60 0.00

-0.65 O.OO

-0.70 O.OO

-0.75 0.00

-O.80 O.OO

-0.8O -0.10

-u.75 -0.10

-O.70 -o.10

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-0.6O -0.1O

-0.55 -O.IO

-O.50 -O.10

• u. 40 -O. 10

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-O.10 -0.10

O.OO -O.lO

0.1O -O.lO

0.2O -O.IO

O.30 -0.lu

O. 4O -u. 10

O.50 -O.1O

O.60 -0.IO

0.70 -0.10

O.BO -o.io

0. DO -0. 20

0.70 -0.20

0.6O -O.20

0.50 -0.20

0.40 -O.,10

o.3o -o.ro

o.;o -0.20

u. IO -O.l'O

O.OO -0.2O

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-O.60 -0.2o

-0.65 -u.20

-0.7O -O.2O

-0.75 -0.2u

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Urms

1 . 00

1 . 03

1.05

1 . 05

1.06

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1.09

1. 10

1.11

1. 13

1. 14

1. 15

1. 16

1. 18

1. 16

1.05

0.86

0. 73

0.66

0.64

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0.65

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1.05

1. 15

1. 17

1. 16

1. 15

1.13

1.12

1.11

1.11

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1.07

1.05

1.03

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0.98

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1.01

1 . 04

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1. 10

1.11

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1. 12

1. 15

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112

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153

167

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238

223

197

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118

153

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162

145

137

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102

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O75

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133

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21 j

223

210

190

173

153

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0.000

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O40

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043

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0. 132

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0.053

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O.040

0.035

0.040

0.038

0.038

0.037

O.O4O

0. O40

0.040

0.04O

0.043

0.072

0. 143

0. 142

0. 115

0.093

0.092

O.O93

0. 10?

0. 125

0. 137

0. 137

0.070

O.047

0. 04O

O.O38

0.040

0.038

0 . O38

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O.O42

0.042

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O.O42

0.047

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0 . O65

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0.053

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O.O43

0.040

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O. 042

0.038

0 . 038

O.O40

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0.042

0.045

O.U47

O.O63

O. 135

0. 130

0. 100

O.092

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0. 122

0.082

0.063

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O.037

0.028

O.O32

O.030

0.038

0.03EI

0.032

0.035

O. 033

O.042

0.050

0.063

0.078

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0.058

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O.O7O

O.073

O.O73

O. 057

0 . 03O

0.035

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0.033

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0.092

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0.043

0 . 035

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0.043

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0 . 050

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0 . 068

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O82

090

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OF37

O92

O77

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O5:

023

022

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023

027

025

O25

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040

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O23

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ORIGINAL PAGE IS

OF POOR QUALITY

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1 . OA

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035

O39

O47

049

047

C-6f
Urms U w rms

-o.ao

-O.BO

-O. 75

-0.70

-0.65

-0.60

-0.55

-0.50

-O.4O

- 0 . 3O

-O. 20

-O. 1O

0 . OO

0. 10

O.2O

O.3O

0.40

O.50

O.60

O.70

O. 8O

O.BO

0.7O

0.60

O.Su

O. 4O

o. -.0

o . li'o

O. to

O. OO

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-0.20

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-O.50

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-0.80

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-0.85

-O.85

-0.85

-0.85

-0.85

-O. US

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-0.85

-0.85

-0.85

-0.85

•-0.85

-O.85

-O.IT5

-0.05

--i i . 8"i

-O.ao

-O.BO

0 . 6O

0.70

O. 7O

O. 70

O.7O

O. 7(1

O.70

0.7O

O. 70

0 . 7O

0.70

O. 70

0. /O

0. 70

O. 70

o. 70

0 . 70

0. 70

0 . 7o

0.70

O. 7O

o.ao

o.ao

O.RO

o.ao

0.80

o . rti i

o.BO

0 . 80

O.BO

O.BO

O.BO

o.ao

O . Bo

O.BO

0.80

O. So

o.ao

0.80

O. Bo

O.BO

o.ao

O. 70

0 . 60

0 . 5O

0.4O

0.30

0.2O

0. lo

0.00

-0. 1O

-O.2O

-0. 3O

-0. 4O

-0 . 50

-O. 60

--o. 7O

-O.80

0 . 30

o . / 0

1 . 00 1

1.06 1

1 . 07 1

1.11 1

1.O9

( . to

1. 12

1. 12

1.11

1 . O9

1.10

1.10

1 . O6

1.06

1.O4

1 . 06

1 .04

1.05

1 . 05

1.03

1.O4

1 . 03

1 . 03

1 . 05

1 .03

\ . 04

1 . O4

1 . O4

1 . 03

1 . 03

0. 95 I

1 . 02

1 . 03

1.O7

1. to

1 . 09

1.09

\ . 09

i . oa

1 . 06

1 . 06

t . O7

1 . 04

I . OO

0.97

0.92

O.91

0.92

0.89

0. 72

0.54

0. 70

O.8O

0.88

0 . 93

0 . 9B

1 . OO

O. 99

1 . 03

1 . 06

.00

.05

.07

. 10

.09

. 10

. 12

. 11

. 11

.09

. 10

. 10

.06

.05

.04

.05

.04

.05

.04

.03

.04

.03

.03

.05

.03

.04

.04

.04

. O3

.03

1.9-3

t . 02

1.02

.07

. 10

. 09

.09

. 09

.oa

.05

1 . 05

1 . 07

1 . 03

1.99

0.95

l> . 9o

o.aa

Ci.OV

-|.84

ri.67

}.47

0.65

0.77

U.86

5.91

O.96

0.99

0. 98

1 . 07

1 . 05

-O.O35

-0.044

-O.O47

-0.067

-0.062

-0.055

-O.049

-0.044

-0.032

-0.020

-O.OO7

O.O08

O.015

O.O20

O.O22

O.O22

O.O25

0.025

0.022

0.028

0.018

0.023

0.023

0.031

0.02O

O.O22

1 1 . 02O

O . O05

O.O05

O.OO2

-0.012

-0.015

-0.028

-U.O3R

-O.O43

-0.056

-O.O55

-O.068

-0.071

-0.074

-O. O65

-0.071

-0.07.3

-0. 035

-O.O41

-0.031

-O.OO7

0.041

0.099

0. 145

0. 162

0. 119

O.O76

O.O12

-O.036

-O . 028

-0. O3B

-0.073

-O.O75

-O.044

-0.087

-0.06O

-O.O32

-O.O10

0 . OO2

0.010

0.015

0.020

O.O32

0.030

0.030

O . O27

0.023

0.018

O.O17

0.022

0.017

0.020

0.018

0.018

O.O12

0.015

0.013

0.013

O.O13

0.020

0.022

O.O22

0.017

0.013

O.013

0.018

0.023

0.020

0.015

0.012

o.ooa

0.007

-O.OO7

-O.O36

-O. O66

-0.093

-0. 1 1 1

-0.116

-O. 140

-0. 172

-O.208

-0. 225

-0.218

-0. 159

O.OOO

0, 116

0. 149

0. 159

0. 149

0. 134

0. 134

0. 1O9

-O . O54

-0.075

0.069

0.060

O.O60

0.057

O.045

O.O45

0.045

0.042

0.044

0.044

O.O54

O.044

O.O45

O.O47

0.054

0.050

0.045

0.044

0.055

0.051

0.073

0.056

0.063

0.046

0 . 056

0.0-55

0.045

0 . 053

O.O48

0.048

0 . 2OO

0 . 05 1

0 . 05 1

0 . 050

0.053

0 .045

O.O53

0.046

0.0*58

0 . 061 1

0.066

0 . 068

0 . 06 1

0.061

0.0/6

0.001

0.079

O.078

0.091

0. 142

0. 149

0. 137

0. 114

O.079

0.076

0.084

O.O81

0.071

O.O60

0 . 064

O.O69

O.06O

0.060

0.057

0.045

O.045

0.045

0.042

O.044

O.O44

0.054

0.044

0.045

O.047

0.054

0.050

0.045

0.042

0.055

0.051

0.073

O.056

0.063

0.046

O.056

0.055

0.046

0.053

O.O4B

0.048

O.20O

0.051

0.051

O.O50

O.O53

0.045

O.053

O.O46

0.058

0.060

O. 063

0.071

O.061

0 . 06 1

0.073

O.079

0.079

O.079

0.089

0. 144

0. 154

0. 140

0. 112

0.079

0.074

0.083

0.084

O. O74

0.06O

0.064

O.059

O.049

0.042

O.044

O.035

0.033

0.035

0.033

0.035

O.032

0.032

O.O35

0.032

O.O32

0.033

0.030

0.032

0.035

0.037

0.041

0.053

0.050

0.041

0.035

0.036

0.033

0.031

O.040

O.036

O.041

0.035

0.038

0.043

O.043

0.045

0.045

0.045

O.046

O.04B

0.050

O. O6O

O.059

O.053

0.046

0.064

0.071

O.066

0.073

0.079

0.097

0. 102

O.OB8

O.031

O.O71

O.O66

O.O5B

O.O66

0.068

0.057

0.040

0.050

O.O4O

0.040

O.O35

O. 027

0.023

0.028

0.027

O.022

O.OV?

O.022

0. 023

0.01' 2

0.022

0.033

0.023

0.023

0.023

O.030

0.026

O. 038

0.031

O. 030

0.026

0.036

o . 030

0 .028

0.025

O.O31

O . i.i 35

0.058

0.038

O . O35

O.O41

O.041

O.04O

0.043

O.O36

0.043

O.oSu

o . 05 1

0.055

0.055

O.O55

0. 063

0.060

o . Ofa i

O.O71

0.097

0. 117

0. 169

0. 131

0.009

0.073

0 . 06 1

0.06H

O.O6B

O.06t>

O.o::,7

0.047

C-6g
ORIGINAL PAGE IS

OF POOR QUALITY

y -o . so

•0.80

-0.80

-O.So

-0.80

-0.00

-O. BO

- ft . Bi i

-0 . BO

-0 . BO

-O.BO

-O.BO

-0 . 81 1

-O.BO

-O. 80

-0 . 90

-0 . 90

-0.90

-O . 90

- 0 . 90

-0.90

-0. 9O

-O . iO

— 0 . 9'"i

-o. Vo

-fi. Vu

— ii. "7 ii

- O.9O

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-0 . 90

-f).9o

— O. ?3

-O. 93

-0.93

-0.93

-0.93

-0.95

-i i . 93

•0.93

-0. 93

- 0 . 9 *,

-0. 93

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-o. 9 ,*

-o. v,-'

-0. 93

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-0. 75

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-0 . 95

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-0.95

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z

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fl.

0.

0.

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fl.

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94

88

87

88

87

71

56

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77

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71

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98

97

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93

95

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97

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78

56

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1.01

0.93

0.87

0.85

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O.84

0.65

O.48

0.63

0.76

O.S4

O.H9

1.01

1.03

1 . 05

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0.98

0 . 96

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0.89

o.ni

o . 31)

0.44

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0.79

0.87

0.92

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0.94

0.93

0.93

0.96

0.96

0.95

O.93

0.88

O.86

O.79

0 . 59

0.41

0.5,1

o. 79

O.R3

0.1313

fl. JO

ii. fl, 1

( I . FI6

O.Hr,

0. V?

0.9?

0.73

O.RB

0 . f )3

O.81

0 . 70

0.51

0.36

f 1 . 56

0.75

0 . 7 f

O.FiO

0.87

O.R3

O.R2

V

-O.O42

-0.047

-0.059

-0.013

O.O37

0. 1O7

O. 167

0.211

0. 121

0 . 062

-O.OO5

-O.O25

-O.O28

-0.037

-O.O74

-0.056

-0 . 029

-0.020

-O.O17

-0.072

O. OOO

0.035

f 1 . 09 1

O. 1O9

0. O9 *

0. 094

0. Of> 2

O.019

-0. OO3

-O.O19

-0. 040

-O.O72

-0.063

-O.O15

-O. 003

-0 . OO 3

-O. O1O

-0.002

0.030

0.070

0. 067

0 . 055

O. O78

0.052

O. OlO

- 0 . OO.1

-0 .012

— O. O7o

-0 . 07*O

-0.042

-o.oro

O. Ouj.

-o. ooa

o . oo ?.

f> .017

o. 033

o. 052

0 . 033

O.015

0.040

o. 042

0 . 0 1 5

0. OO5

-0. OO2

-0.017

-O.O3?

W

-O.O77

-0.089

-0. 116

-0 . 1 36

-O. 149

-0. 154

-0. 1 12

-O.O25

0.080

O.077

0.085

0.069

0.067

0.065

0.064

-0. 157

-0. 192

-0.200

-0.252

-O. 258

-0.301

-0.327

-0.294

-0. 151

< ) . 075

0. 190

0.247

0.764

0.246

0.226

0.221

0. 177

-0. 175

-0.713

-0.243

-0.258

-0.288

-0.348

-0.35O

-0.298

-0. 1'OO

0.035

0. 19O

0. 3OO

0. 3O6

0 . r.9fa

0.27B

0.7.45

0.193

-0. 174

-0. 74 I

-O .."'81

-0 .316

-0.339

-0.359

-0.359

-0.299

-0. 157

0.013

f i . ? 1 7

0.31?

0 . 342

0.334

0.314

0 . 282

0 . 700

U' rms

O.067

0 . 074

O.O77

O.079

O.OB4

0. 119

0. 152

0. 147

0. 146

0. 116

0.087

0.09O

O.077

O.074

O.O79

0.077

O.086

0.081

0.086

O.O79

O.091

O.O99

0. 123

0 . 1 7B

0. 141

0 . 1 53

0. 1O3

o. O94

0.079

0 . 08 1

0 . OB 1

0.074

0. 100

0 . 085

O.OB5

0.092

0.095

0. 1O5

0.095

O. 130

0. 178

0. 135

0. 157

O. 105

0.097

0.087

0 . 1 o 2

0. to;

0 . 1 03

0. 1 04

0. 1O7

O. 09O

O.I 67

fl . 1 07

0 . 1 0 -

1

0. 1 15

0 . 1 37

0. 159

0. 144

0. 152

0.114

U. 1O4

O.O99

0.092

O. 102

0 . 097

u'

0.067

0. 075

0.077

0. 077

0.085

0. 119

0. 156

0. 151

0. 144

0.117

0.085

0 . 090

0.077

0.074

0. 079

0.079

O. 088

0 . 087

0.084

0.079

0 . O9 1

O. 099

0. 123

0. 170

0. 138

0. 151

O. 1O3

O.O94

O. 079

O.082

O.O84

O.O76

0. 103

0 . OB7

0 . OB7

0.097

O.098

0. 112

0. O98

O. 132

0. 1 73

O.I 38

0. 158

0. 1O8

0 . 097

0.085

0. 1O2

0. lo7

0. 1 lo

0. lo5

0. 1 lo

0.097

0 . 359

0. 107

0. 104

0. 114

0. 134

0. 145

0. 137

0. 147

0. 119

0 . 1 00

0. 102

O.O95

O. 102

0.097

v'

O.O57

0.069

O.075

0.074

O.069

O.O90

O. 105

0. 107

O. 119

O.O87

0.072

O.O7O

0. O6O

O.050

O.O74

0.067

0.054

0.059

0.062

O. O66

O.O64

0 . 069

0 . 088

0. 1O9

0 . 09 1

0.079

0 . 08 1

O.OB6

O.O67

0.067

0. 057

O.O72

0.077

0 . 065

0. 063

0.063

0 . O6B

0.075

0. 075

f 1.075

0.09B

0.097

0.073

O. O70

0 . 063

0 . 068

O.O62

O. 07o

O.O87

0 . 075

0.065

O.057

O. O7O

0.070

O.065

O.O70

0.072

O.O79

0. OB 5

0 . 082

0.065

O.O62

O.O63

O.O62

O.067

O.082

w'

0.044

0.052

0.070

O.O7O

0.077

0 . 09O

0. 141

O. 164

0. Ill

O.072

0.067

O.067

0.060

0.055

0 . O57

0 . 064

0 . 06 1

0.067

0.072

0. 067

O . O76

o. OBI

O. lo!l

0. 158

0. 17o

0. 131

0. OB2

O.079

0. 067

0.072

0.066

U.O64

O. O67

0.067

0. 063

0 .1572

O. O02

0.085

0. OIJ7

0. 127

0. 155

0. 168

('. 142

o. O9?

0 . 075

0. ofiO

o. 073

o. o'/rt

0 . O7o

1 1 . o 7 f I

0.1)63

o . o / 5

0 . 0 / 9

o.o!35

O. 094

0.099

0 . 1 20

0 . 1 50

(.' . 1 59

0. 137

0. 1OO

0 . 08?

0. 075

O.O7O

O. o72

o. 070

C-6h
\PFRNDIXD

High Reynolds Number T \bul-itcd Data

Table D-l Station 2, X(1J) = ?-.0 Futraocc

Table D-2 S<at.io:. 4, 0 =• 0°

Table D-:< Station 0, 0 = 30°

Table D-4 S^aHoa 8, (J = 00°

C^able rt-r» Station 10 <? =--- CO0

Table D-C Station 11, X(H) = 1.0 Exit

'?\ic ''urmol coordinate positions have bc<-n ncn-diuiciisionj'U'Acc on <lnct half-wid^L.

l>li/'/:, A.1* -vck cities have been rou-^nnrnsio^ali/.od o» bulk vc'ocUy (V,0 in/s).

-31-
ORIGINAL PAGE IS

OF POOR QUALITY

Table D-l, Station 2, X(H) = 2.0 Entrance

Urms U W ll' rms u' v' w

u. 70

u.60

U.50

O.4O

O. 30

0. 70

O. 10

O.OO

-0.05

- II. 10

-0. 15

-Ll. 'iu

-O. 25

LI . ;'.i > — i. ^5

-0.40

- o. 45

- 0. ^ii

-0.55

- 1 ) . OU

-."'. o"5

-0. /'O

•U. / 5

-' ) t3' i

-u. fin

L'. 75

-«>. /U

-1). ftltj

-u. 60

- '.i. f'!~i

- u . *•• i

- 1 1 . -1 5

-u . 4i I

- i). "".

-u. X>

-O. j-5

-U.20

-0. 15

-u. to

— O . OK-i

L> . OLI

u. lu

o . ro

n. "0

0. 4u

O. Stl

O. 6O

0.70

0.00

0.80

0.70

1). M>

o.so

O.40

0.30

O. 20

0. 10

O . OO

-O. O5

-0. 10

O. uO

0 . OO

O. uO

U . OO

0. 00

U. OO

0. 00

o . oo

o . oo

O . OO

O. DO

0. uu

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0.80

0.70

0.60

0.50

0.40

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0 . 055

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0.048

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0.035

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0.032

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O.031

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O.O?7

O. O27

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0 . 03 1

O.O34

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O.O56

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0. O66

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0. 043

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O.O73

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O.o51

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0. 061

O.O63

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O.O43

0.048

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O.O25

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O.O29

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o . 035

0. 172

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o. 02?

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0. O32

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0.83

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20

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50

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70

80

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0.86

0.86

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0.86

0.84

o.as

0.84

O.83

0.78

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0.86

0.85

0.84

0.05

0.83

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0.83

0 . 83

O.78

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0.055

O.O52

O.O5O

ft.OtiO

0.056

O.062

O.O65

0.072

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w

012

014

015

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023

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036

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0.038

O.O44

0.058

O.033

O.O60

O.O53

O.062

O.O7O

O.O82

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0.039

O.O45

O.059

O.O38

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0.055

O.O62

0.070

O.O83

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0.044

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0.049

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D-3h
Table D-4, Station 8, 9 = 60"

ORIGINAL PAGE E5

OF POOR QUALITY

0.80

0.70

0.60

0.5O

0.40

0 . 30

0.20

0. 10

0 . OO

-0. 10

-0.20

-0.30

-O.40

-0.50

-0.55

-0.60

-0.65

-0.70

-0.75

-0.80

-o.ao

U • f rJ

-0 . 7O

-0.65

-O.6O

-0.55

-O. 50

-0.40

-O. 30

-0.2O

-0. 10

0 . 00

0. 10

0.20

0. 30

0 . 40

0. 50

0.60

0.70

0 . 80

0.80

0. 70

0 . 6O

0.50

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0. 10

0. OO

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0.88

0.92

0.93

0.9-5

0.97

0.99

1.01

1.O3

1.O4

I. On

1 .09

1. 1 1

I. 13

1. 15

1. 16

1. 17

1. 19

1.7O

1.22

1.21

1,22

1.21

1.2O

1. 37

1. IS

1. 16

1. 15

1.13

1.11

1.08

1.06

1.04

1 .03

1 . GO

0. 98

0.96

0.95

0.93

O.91

o.tia

0.88

O.91

0.93

U.95

O. 9t>

O.9B

1 . OO

1 . O7

1 . 04

1 .06

1 .US

1.11

1. 13

1. 16

I. 17

1. 18

1. 19

t.21

1 . 22

1.73

u

o.cia

0.92

0.93

O.95

0.96

O.99

1.01

1.02

1.04

1.O6

i.oa

1. 10

1. IZ

1. 14

1. 16

1. 17

1.19

1 . 20

l.?2

1.21

1.22

1.21

1. 19

1. IB

1. 17

1.16

1.15

1. 13

1. lo

1.08

1.05

1.04

1.02

1 . 00

O. 97

0.96

0 . 94

0.9:*:

0.91

O.Stl

O. 07

O.'?0

O.92

0.94

0. 95

0.93

0.99

1.01

1.04

1.05

1 . 08

1. lo

1. 13

1. 15

1. 16

i. ia

1. IV

1.21

1.22

1 . ?•'•.

V

O.O5Q

O.OOS

O.O59

0.085

0.075

O.O75

O.O74

0.092

0.079

0.079

O.O84

O.090

O. O70

O.O89

O.O39

O.OB3

0.082

0.074

O.O66

O.066

O.065

O.O76

0.082

O. O94

0. O90

O.O96

O.O96

0. 108

O. 1 1O

0. 112

0. 109

O. 108

0. 102

0:099

0. 096

0. 101

o.oas

O.09O

O.OR5

O.O8?

O.O'Jl

O.O94

O.096

O. 108

O. 1O9

O.O9O

O. 1 11

o. in

O. J 18

O. 122

O. 112

O. 114

0. Ill

0. 1 10

O. Io5

O. 1OO

O.097

0.091

o . oat

0.061

U

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-0.009

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0.006

O.O06

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-O.O13

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-O.0J6

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-O.O14

-0.015

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-O.O14

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0.000

O. OO6

O.O14

I)' rms

0.042

O.O34

0.032

0.034

0.034

0.032

0.035

0.032

0.027

O.O31

0.028

O.029

0.027

O.O28

0.029

0.027

0.027

0 . 024

0.024

0.038

O.O30

O.029

0.029

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0.028

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O.029

0. O28

O.031

0.028

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O.O33

0 . 034

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0.033

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0 . 03 7

O . O3 9

O. O32

O.O34

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O. 033

O.O33

O.O32

0.032

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0 . 028

0.026

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0 . O25

O.O26

0.024

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O,O23

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O.042

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0.032

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0.027

0.032

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O.031

O.028

0.029

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0.027

O.029

0 . 027

0.027

0.024

0.024

O.O38

0. 03O

O.029

O.O29

O.O3O

O.029

O.032

O.029

0.028

O.031

0 . 027

0.034

0.034

0.034

0.033

O. O33

0.031

O.029

O.OZ2

O.032

0.037

O.039

0.031

0.034

0.035

0.032

0. 029

0.033

O.033

0.03?

0.03?

0.02?

0.028

0.026

0.022

0.022

0 . 025

O.026

O.O24

O.O21

O.023

V'

0.048

O.O53

0.044

0.052

O.045

0.048

0.046

0.048

O.049

O.O49

0.044

O.O49

0.043

0.037

O.039

0.032

0.030

0.026

O.O24

0 . 02O

O. O24

0.020

0.028

O.O78

0. 033

0.033

0.037

0.04.:'

O.O41

O.U4B

0.051

0.044

0.049

0.050

0 . O5O

O.O52

O.O46

0.049

0 . O52

O . 047

0 . O56

0 . 045

0.052

0.051

0.051

O.O48

0.052

0.052

O.O43

0.047

O.O41

0.041

0.032

O.O35

0.031

fi.028

0.029

O.023

0.025

O . O2 .'

_w_L_

O.O28

O.O23

O.O19

0.019

O.020

0.020

0. 121

0.018

0.016

O.O19

0.018

O.O18

0.017

O.O17

0.017

0.018

0.016

0.017

0.017

0.016

O. 016

O.016

o.oia

O.02O

o.oin

o.o20

O.O17

0 . 02O

O.O21

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U. 073

O.068

U. 066

0.055

O.U43

0.035

0.018

0 . 0 1 7

-O.OO 4

0. o08

O.O53

0.060

O. 103

0. 129

U.I' i3

u.uv-;

O.OOO

0. O75

O.O 76

U. O79

U. OV8

0.09T

0 . OV6

O . O75

0 . O57.

0. uTO

-U . 0 1 t

o.u4I

0.051

0.083

o. 1 15

0.111

0 . 005

0.070

O. O70

0.06T.

O.073

O.O90

O.096

0. 110

0.082

0.051

U.034

-O.O09

O.O33

0 . 046

0.075

0 . 1 04

w

0.025

0.027

0.022

0.018

O.O14

0.017

O.024

0.030

0 . 024

O.O19

0 . 0 1 3

0.011

0.003

O.O09

0.012

o.ru 7

0.020

0.030

0.024

O. 002

-O.03O

-O.029

O.OOO

0 . <X>9

0 . U 1 9

0.011

-O.OO2

-U.O06

O.UU3

O.O06

0.014

0.010

0.016

0 . ( '08

-O.O14

0.017

-o.oo;

0.014

-O.u'y'-j

-O.06J

-O.O47.

-U.U16

--o. 036

-0.042

-O. U24

-O.OO9

U.OU2

0 . 0 1 3

O.Ull

0.026

0.024

0. o?5

0.014

0.032

O.054

-0.207

-0.201

-O. 159

-0. 144

-O.U94

U rms

0.023

0.031

O.O23

0.025

O.025

0.023

0.025

O.O29

O.O29

0.028

O.O32

0. 034

0.039

0 . fi3ft

0.031

0.029

O.O28

0.034

O.O35

0. 037

O.O4O

0.030

0. O43

U.O59

0.070

0. O6O

0.026

o. o;;,u

0. 020

0.023

0 .032

O.O 24

0. 025

0.027

o.u58

0. O'>4

0 . 039

O.O '.2

•i.O '3

U .037

0.03?

0.05,5

0.071

O.Ofjl

U. O33

O.O-'. 3

0.039

O.O41

0 . O33

O.O79

O.O40

0.076

0.061

0.039

0.037

0.068

0. O58

0.059

O.054

0 . 059

u'

O.O23

0.031

O.O23

0.025

0.025

0.023

O.O75

O.029

O.Oi'9

0.023

O.O37

0 . O34

O.039

0.036

0.031

0.029

0.028

O.034

0 . 035

O.O37

O.O4O

0 . 038

0.044

0.058

O.O 78

0 . 06 1

O.026

O.O 3n

0. U20

O.U23

0.031

U. O24

0.015

O.O27

0.059

0.053

0.040

o. 03?

0 . O T V

O.oTM 7

U.O40

0 . 05 3

O.O71

U. o5o

0. u33

O.033

o. OJ9

0.041

O.O33

0.079

0.049

O.O 76

0.06O

O. 040

O.O37

0 . Oto9

O.060

0.060

0.054

0.059

v'

O. 04 o

0.042

O.O33

0.054

0.03O

0.039

0.039

O.041

O.040

O.052

<"). O50

O.U57

O.O47

0.043

0.039

U.034

0.031

0.0,52

U.O34

0.035

0.040

0 . 046

0.030

O.O47

0. 043

0.032

0.032

0. 035

O. O24

O. O40

0.048

0.026

0.047

0.024

0.035

0.034

0.038

0. O'9

O. O67

0.040

0.042

0.045

0.047

0. 074

0.025

O.O 2 9

O.O6U

0.035

0.023

0.031

0.033

0.054

0.055

0.050

0.040

0.059

O.050

0.051

0.053

0.053

w '

U.024

O.U2C,

O. O21

O.O21

o . 0 1 8

0.016

0 . 0 1 0

O.O 21

O.o26

O.u2r

0.023

0.037

O.O34

o.o:?

0.035

0.03J

0.031

O.O32

o. 029

0. o3O

O . O3"5

0.021)

O.017

0.042

0. 042

O.O'iO

0. U22

o.ol4

0.017

0.013

0.015

0 . U 1 6

O . o I 2

U . u 1 7

o. u24

0.027

0.07.5

o . 0 1 7

O. U4.'3

0.0 ,t,

o. O4 3

O.o'U

o.<>48

0.0 15

o. O20

0.021

o.riZM

O.U21

O.02S

U.U24

0 -O34

O.O40

0.045

O.036

U.U35

0.063

O.054

O.O&5

O.u'i9

O.OS/

D-4g
ORIGINAL PAGE IS

OF POOR QUALITY

-O. 70

-O.I'O

-0.9O

-0.90

-0. 9O

-0.9O

-0. 9O

-0. 9O

-O.7O

-0.90

-0. 70

-0.90

-O. 93

-0.93

-0.93

-0.93

-0.93

-0.93

-0.93

-0.93

-0.93

-0.93

-0. 93

-O.93

-O. 93

-i'. J3

-0.93

0. 30

O.2u

0. 10

O.OO

-0. 10

-O.20

-0. 30

-O. 40

-0.50

-0.60

-O.7O

-0.8O

0.80

O.70

O.60

0.50

0.40

0.30

O. 20

0. 10

0. Oo

-0. In

-O. ?O

-O. ".O

-0. 40

-0. 5O

-0. 60

o. ro

-0.80

Urms

O.93

1.04

1.09

1.11

1.11

1.08

J.03

0.9O

0.81

0.91

1. 04

1.11

1.03

0.81

O.99

0.95

0.78

0.31

0.90

0.96

0.90

1.02

O.90

O.9O

O.BO

0.82

0.95

1.02

1.07

u

0.92

1.03

1.08

1. 1 1

1.10

1.08

1.02

0.69

O.8O

0 . 90

1.03

1. 1O

1.00

0.77

0.96

0.91

0.76

O.BU

O.89

O.96

0.98

1.O1

O.98

0.39

0.79

O.BO

0.93

1 . OO

1.O5

V

O. 066

i). O7o

O. O63

O.054

O. 054

0.066

0.006

O.O83

O.O89

O.059

O.O37

0.018

0.011

0.022

0.044

O. 085

O.083

0.054

O.061

0.051

O. O38

O.043

0.051

0.070

O. U5S

O.OS'5

0. 047

U. i)49

<~>.O1 1

W

-O.i 165

-0.045

-O.O27

- O. 010

O.OO6

O.018

O.034

O.O56

O. 059

0.079

0. 105

0. 120

-O.259

-0.200

-0.247

-0.235

-0.168

-0.091

-0.050

-0.029

-O.009

0.004

O.O32

0.052

O. O9A

0 . 1 34

0. 149

0. 17?

0. 177

U rms

O.072

O.<>59

0.057

O.044

0.051

0.052

O.II6O

0.079

O.055

0.041

O.O42

0.038

O.031

0.395

0.080

0.066

0.061

0.072

O.O77

O.O63

0 . 064

0.071

0 . O7 1

O. 074

O. U75

O. O65

o .057

O.U7'3

1I.O78

u'

0.072

O.059

0.057

0.044

0.051

0.051

O.O61

0.08O

0.056

0.041

O.042

0.037

0.085

0.410

0.078

0.069

0.059

0.074

0.077

0.064

0.064

0 . 07 1

O.O71

O . O72

0. O77

0 . 06 3

0.053

0.074

0.076

V'

O.O46

0.037

0.037

O.O34

0.041

0.040

O.048

0.054

O.O45

0.054

0.052

0.052

0.066

0.060

0.054

0.051

0.059

0.049

O. 053

O.O45

0.045

O.O48

0 . 04 1

0. 1O2

O.O47

O. 05°i

O.055

0.059

O.O70

W '

0.050

O.O33

0 . 035

O.O34

O.032

O.033

0.037

O.O48

O.047

0.047

0.044

0 . 043

0.07O

0. 121

0.074

0.064

0.060

0 . 053

0.057

O. O50

O.041

O. 045

0. O44

O.O'SO

O.0"v7

0 . U54

0 . 055

O.u'S?

0. 045

D-4h
Table D-5, Station 10, 0 = 90°

ORIGINAL PAGE is

OF POOR QUALITY

0. \.j<>

o. /"',.

U. 4U

'). .'.0

i >. 2<"i

O. JO

•j.C'O

-i. lu

-o. 20

-i i. 3O

•O. 4O

-o. 5o

-O.S'o

-0. 60

-0.65

-O. /O

-O. BO

-0. 8O

-0.75

-0. 70

-0.65

-0.6O

-O. 55

-O. 4O

-0.30

-0. 7i)

~0. lo

o. OO

O. 10

O. 2O

O. 30

o. 40

U. 50

0. Vo

0.30

o. &o

0. 7O

o. tio

o. 50

0.40

0. 30

0. 2O

0. 10

0. Oo

-o. 10

-O.ii i

-0. 30

-0.40

-0. 51,'

-0. 55

-O. DO

-0. 6f.

-O. 70

-0. 75

-O.QO

O.i It'l

o. oo

0. Ou

O. -JO

O. Oi i

o. Oo

O. OO

0.00

O.OO

o. oo

o. oo

O.on

o.oo

o. oo

O. Oo

o. oo

O.Ou

O.OO

0.00

o. oo

•-O. 10

-O. 10

-o. to

-1.1. 1 O

-0. U)

-0. 1 0

-0. 10

10

10

10

10

-o.

-o.

-0.

-o.

—o.

-o.

lo

--O.

-o.

lo

lo

-0. lo

- 0. 1 O

-0. 1 0

-o. 10

-0.10

-O.'.-u

-O. ?o

-o.ro

-o. ro

-o. ?u

-O. 20

-11.20

-o. 20

—0. "lo

-0.20

-o. _'u

-o. r.o

-o. .'0

•O. ~'.fj

-o. no

-0. ^0

-O. 20

Urms

O.'?5

0.73

1 .01

1.02

1 . O3

0.68

t .04

1.O7

.07

. OV

. 11

. 1 1

. 17

. 14

1. 14

1.11

1.02

O. 87

0.73

0 . 63

0 . 6/1

0.76

u.87

1 . Ol I

1.10

1. 13

1.13

t. 12

I . 0 7

1 . 0,3

1 .08

1 . Of j

1 . 06

1 . 04

i .0:.

i . u :

l.U t

1 . OO

•i.-?a

o. v5

0.94

o. 78

1.01

i.or

1 . 03

1 . u4

1 . 04

1 . 05

1.07

1 . 08

1 . '"I1?

1.11

1.11

1. IZ

i. i-j

1.10

U. 9O

•). 71

o. 65

0.59

u

O.94

O. 78

I. 01

1 . 02

1 . 03

0.66

1 .04

1 .06

1.O7

1 . O8

1 . 0',

1.10

1.10.

1. 12

! . 12

1.09

1 . UO

o.ns

0.72

O.62

0. 65

0.75

O.H7

0. ?7

1.07

i. to

1.11

1. 1O

1.08

1.07

1.07

t . 05

1.05

1 . 04

1 . 03

1.01

l.ol

1 . Oo

o. -,n

o. V4

o . 9 '1

0. ~B

1 . 0 1

l.o^

i. or

1 . 0"i

l.u-l

1 . 04

l.Oi,

1 . U7

1 . OH

1.10

i. lu

i. 1 1

l.i i

1.08

0.137

O.6S

o./>;'

0.56

y _

0 . 037

0 . 053

O.061

O.079

0.085

0.095

O. 1O5

O. 115

0. 124

0. 135

O. 147

0. 153

0. 17S

O.206

0.217

0.222

0. 21o

0. 177

O. 130

O.OS3

0.082

O. 128

O. 174

O.212

0.724

0.214

0. 205

O. 180

0. 161

O. 147

0. 134

O. 125

0. 1113

O. 1 10

O. 101

U . 09 2

O.O78

O.O64

U. O6o

O.037

O . ' C ?

( ) . CiSii

0 . 07 3

0 . ufir.

0.077

0. 101

0 . 1 1 u

O. J 20

0 . 175

O. 133

0.147

0. 156

0. 1 72

0.198

0.213

0 . 22 '•

0.101

O. 167

O. 153

0. 124

_ w_

O. 004

O.O1O

0.015

0.011

0.011

0.013

O.O1O

0.010

O.O12

O.O13

0.016

0.017

0.021

0 . 02O

0 . 070

O.O17

0.005

-0.012

-O.028

-0.031

0.021

O.OO7

-0.002

-0. OO6

-0.01O

-O . OO4

-0.008

-0.005

-U. O01

-O.OO1

0.001

O . O02

O.007

0.005

O . OO6

O.OO6

0 . O04

0 . OO9

0 . OO3

o.oo:

- ". 006

-O. i'O4

- O .002

O. OOO

-0.003

0 . O03

O.oo'

-0. OO1

-O. Oo3

-O.004

-0.010

-0.014

-O.OZ3

-0.033

-0.041

--0.041

-0.073

O.OO3

O.045

0.064

U_'rms

0.053

0.043

O.030

0.023

0.022

O.398

0 . 06O

0.022

0.071

O. O23

0.022

0. 025

O. O2 2

0.020

0 . 027

O.034

O.O6?

0.065

O.O64

O.057

O.064

O.O70

O.O74

0 . 053

0.038

0.025

0. 025

O.OZ5

O.O23

0.024

O.U25

O.024

0. 025

o. OZ4

o. Oi'4

O. or 4

0 . 025

0.iC7

O. 037

0 . O4 9

o.i I'iti

0. i)44

0.020

0.027

0. U7ij

o. or 4

i ) . 02 4

0.024

0.02t>

O.O28

1 1 . 028

0 . O15

O. O?4

0 . 025

0.0? 5

0.044

0.074

0.076

0.082

O.OV3

u'

0.053

O.O43

O.030

0.023

0.072

O.416

O . ObO

0.022

0.021

O.O23

O.022

O.025

O.022

0.020

O.027

O.034

O.o63

O.067

0.066

O.060

O.065

0 . 07 1

0.075

O.058

0.037

O. O25

O. 0^6

0 . O25

0.02,7

0 . 024

0 . 025

0 . 024

O.O.T-;

O.023

O.024

o. or 4

0. 024

0.02Q

o. U./.7

0.047

0.058

O. 044

0.0 2H

O.<:-_'3

0.026

o. O24

0.024

0. O25

0.026

O.O28

0.028

0 . 025

0 . 024

O.O25

0 . 026

0. O45

0. 076

O.O75

0.083

O.096

V'

O.O61

O.O45

0.032

0.028

0.027

O.O16

O . O37

0.028

0.024

O.O32

O.023

O.027

0.07D

O. 029

0 . 076

O.047

0.049

0.051

O. 050

O.O52

O.043

O.042

0 . O5O

0.041

O.O38

O. 04 O

O. O28

0.030

O.O3)

0. o23

0 .017

O.OC3

0.017

O.oC2

O.O21

O.O25

o.oir-i

0.028

0 . 04 1

0.057

0 . O61i

O.O41

0.03C3

O. 025

' ). O7 1

O.O24

O. O20

0.024

0 .017

o . o i a

ii.OIO

0 . O I 7

0.017

O.017

0. O24

U. 027

0.037

0.054

0. 058

O.O60

w'

O. 044

<J. 031

O.uli

O.01 1

ij.009

0.018

0 . 1 1 1 1

0.01 1

O.O1 1

O.olO

O.O12

0 .017

0 . 0 1 O

0 . 0 1 0

O.011

0.016

O.027

0.052

O. 051

0.045

0.046

O.O47

O.O4S

0. 037

I I. O l f >

d.Ol J

0 . 0 1 1->

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O. 007

0. 007

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0.015

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0. O4 1

0. O31

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0.010

u.oi i

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o. O'?Z

O.O4U

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-O. 70

-O. inrj

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-0. "55

1 1 . -5O

-0. 4O

0. 3o

-o . ;:< i

-0. IO

O . CM I

o. 10

o . ? ci

( 1 . 30

0. 40

0. 3d

O.60

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0 . 'Jo

0 . 3' I

0.70

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1.1. 5<i

o. IO

o . 3o

o. ro

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1'. V'J

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0. ,"5

-0.70

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30

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40

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4-i

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4"

4o

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4'"

4o

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-0.95 -0.00

Urms

O.7V

0.39

0.54

0.37

0 . 3(3

O. 45

O.43

O.77

0.93

o.va

1 . 07

1.11

1.O6

1.03

1.02

0.98

0.94

0.82

0.40

O.57

O.34

O.42

u.45

O.47

u.BO.'75

1 . 03

1. 12

1.17

U

O.

O.

O.

O.

O.

O.

O.

O.

O.

O.

1.

1.

1.

1.

1.

O.

0.

0.

O.

O.

O.

O.

O.

O.

0.

O.

1.

1.

1.

75

36

53

36

3~»

44

39

73

91

97

O6

10

O4

01

00

95

91

79

38

•56

Z "'

41

45

45

01

9~.

or

12

17

V

0. 144

0 . O83

O.029

O.O11

0.011

O. 037

O.075

0. 126

O.O56

O.O32

O.G31

-O.OO1

0.005

0.028

0.030

O.O32

0.064

0.095

O.04O

O.014

0.007;

-O.004

0 . 002

0 . 033

0.086

0.050

o . o,r.5

O.O36

O.ull

w

-0.

-0.

193

045

0.000

-0.

-0.

-0.

0.

0.

0.

0.

o.

0.

-0.

-o.

-0.

-0.

-0.

-0.

-0.

-o.

-o.

0.

-o.

0.

0.

0.

o.

0.

0.

021

O04

014

065

130

166

132

O94

097

186

188

196

212

216

194

056

017

OOB

O04

01O

O72

164

157

OS?

O2S

O46

U'

0.

o.

o.

0.

o.

0.

o.

0.

0.

0.

0.

o.

0.

0.

0.

o.

0.

0.

0.

0.

rms

104

095

061

064

08 7.

O76

139

194

089

082

083

082

077

079

OB6

O91

089

093

113

053

O. 087

0.

0.

0.

U.

0.

0.

I).

o.

072

O66

150

11)3

070

076

O57

077

u'

O

o

0

0

o

0

o

o

o

o

o

0

0

o

o

o

0

o

0

0

o

0

0

o

0

. 105

.094

.062

.065

.OCI3

-OBO

. 146

.230

.039

.033

.084

.083

. 080

.082

.085

.091

.091

.093

. 112

.054

. oa?

.074

.067

. 154

. 1 UI3

0. OOO

0

0

0

. 075

.057

. 077

v'

0. 056

O.O59

0.041

O.043

O.039

O.047

0 . O63

0 . 056

O.OS6

O.O52

O.O5O

O.O59

O.O5B

O.046

0.050

0.055

0.052

O.O57

0.053

0.048

0.051

0.042

O.O46

O.052

0.050

o. 045

0 . 042

0.039

n.061

w'

O.OB1

O.09O

O.U47

0.059

O. 055

O. OS6

O. 1O6

O.O77

0.073

0 . 078

O.O69

0.056

0.058

0.072

0.084

0. 081

0.072

0. 073

0.091

O.O43

0.056

0.049

0.049

0. 107

t ) . 084

0. n74

i). u/7

i ) . 052

0 . 050

D-5h
Table D-6, Station 11, X(H) = 1.0 Exife ORIGINAL PAGE IS

r. r, r/ r/ .,' / °f

 POO

Urms u V W ,U rms u' v' wPv QUALITY

0.00

0.70

0. 60

0. 50

0.40

0.30

O. 20

0.10

0.00

-0. 10

-e.20

-u. ~o

-0.40

-ft. 5O

-o.s5

-0. 60

-0.65

-0. 7i>

-0. 75

-O.I !("l

-O.tto

- 0 . , ' i

-o. VO

"O.o &

- O. ftO

-U.'jj

- < 1 . "50

0. 4-i

-U. 30

- u. ro

-O. 10

O. OO

0. 10

O. 2U

O. 30

O. 4O

0. 50

0 . 6O

O. 7O

O. 00

0 . no

U. 7'»

O. OU

0 . 'JO

0 . 4O

11. 30

0. 2(>

O. lc>

O . O<")

-0 . 1 O

-0 . 2O

-0. 30

—0. 4O

-o . "=.<•>

-0. 5"5

-0. 6O

-U. tiS

-0.7U

-0. 75

-0 . SO

u.Ou

0 . OO

O. UO

O.UO

o.oo

o.oo

0 . 00

O.Oy

0 . OO

II. (Ill

0. O'")

O.O-'i

u. OO

o. uO

0 . 00

U. till

0.00

0. OO

0 . OO

11. Oil

-o. lo

-0 1 0

-O. 1 <>

-l>. ll-

-U. 1 O

- 0. lo

-o. 10

-o. Jo

-o. lu

-o. 10

-0. 10

-O. 1 (1

-o. to

-(>. Ill

-O. 10

- O . I 0

- o . i u

- U. 1(1

-i). (0

-0. 10

-0.20

-0. ?(!

-0. 'Xi

- 0 . 70

-U . 20

- 0 . 20

-0 . 20

0 . JO

-0. 20

-o.r.o

-0 . 2( 1

— O. 2(>

-0 . 20

-U . 2i >

-0. TO

-u. 2u

-u . 20

-O. 2o

-0. 20

-0. 2o

1.04

I . Of,

1.07

1.O7

1.00

i,. or:

vjr '

. . on

1.00

I .09

1 . OCl

J . 09

1 . 0-|

C'. 74

ii. S4

o . s. _•

' 1 . "i /"

0.4.J

0.69

0. 72

0. 74

o. 70

O. t>7

u . <s :

1 1 . -z.8

' i . 5 i

o . :rj i

r

.i . 5, *

0. 'u

1 .(.I0-,

J . < (7

i . 09

1 . O9

1 . 03

i . on

1 . 013

I . OC3

1 . O 7

1 . O7

1 . 06

1 .03

1 . 04

1 . 0 7

1 . o 7

1 . I >U

1 . Of3

1 . 013

1 . U3

1.08

1 . ft")

1 . O9

1. 10

1 . 04

0.68

o. sr.

o. s;i

0. ^"i

0 . 6 2

0.60

O. 74

0. Oil

1.04

I.O6

1 . 07

1 V07

^'. . OS

1,00

1 . OH

1.07

I . u>~

t . U'.l

1 . 0-V

1 , 0.S

0. ,~2

0. S2

o.r.o

0. f"(3.

o.sa

O.A3

0 , i>S

O. tiO

0.67

o.A";'

o. iio

0.5I=i

0.51

•1.49

0.51

11.63

1 . 04

1 . 09

1.09

1 . OC3

1. lit)

1 . 03

1 . ' ifl

i . on

1. t)7

1.07

1 . 1 IS

1 . 04

1 . 04

1 . 07

1 . 0 7

1.1)0

t .OH

1 . 00

i . on

i . nj

i . ov

1.09

1. JO

1.04

0. f>6

O.M

0.51

u . ?,;<;

0 . 60

0 . 67

0. 73

0.7P

O.O31

O.O37

ip.ft'9

"o. D4E)

0.045

O.O46

O.03-S

O.OHb

t .061

O.!l?0

U. OH3

o. 10-5

li.095.

0.031

0, 102

U. 137

o. 177

0.211

0.227

0,?2S

0..133

U, 124

O.O93

/J.093

0.077

0.071

O.076

0.0 ft

0 . 09 1

'). O7E3

0.070

0 . O62

O.OS4

O.049

0. O47

O. 04'-i

0.043

O. O4 1

0. QZb

a. 02ii

O.O24

M.U"*"

O. dflO

O. 04ft

o. 04 a

0.1-40

u. O5o

i). O5O

O. O-56

0 . 06 1

O. O63

0.076

O. 077

0 . 063

O.O44

0. U4O

0.036

0.049

0 . OEi'7

o . on 6

-0.,0/-7

-O". 002

0.000

-0.001

0.007

O.UU4

0.002

O . u03

O.OO4

O.009

U.OJ2

0.012

-O.Oo?

0.031

0.026

0.020

-O.023

-U. 049

-0.057

-O.I.I9S

O. Ol9

-0. 002

--O.O21

-O.016

•-O.O34

-O.O47

-Oi036

-0.019

-0.015

-0.004

-0. 0(.»4

-0. OOJ!

- U. O03

-'J. 002

0 . 00 1

-0.002

- 0. 004

-( i . OO t

— O. 004

-O. 006

- 0 . 0 1 0

-ii. 007

-O. (>O5

-0. 1)05

-O. OO6

- 0. 003

-O. O07

- U. 00 /

-O.O1 1

-O. (US

-0. O20

-0. 043

-0.033

-'. 1.077

-O. o'?4

-0.076

-0.043

-0. 009

O.029

O.O73

0.049

0.039

0.035

O.O33

0.035

0.027

0.030

O.029

0.02J

0.029

O.O31

O.O62

0. 1O1

0.092

0.099

(I. 117

0. 125

0. 1 1 9

O. 126

0. 132

0. J 19

0. US

O. 1 16

0. 121

0 . 1 0( i

0.096

0.099

0. 1 1O

O.O60

O. 029

O.O32

O.O^O

0 . 030

O.njO

O.O27

0.034

O . OT.4

("i . O37

O.O39

0. O4fi

0.049

O.o :.Q

O.034

•>. O3 4

0 . O33

o. i '26

o . i >r. i

0 . 0^ 1

o.orr:

o. o"rt

O. U31

O.O 7D

0. 126

0 . O96

O.O 73

0. 107

0. 1 19

0. 11 1

0. 101

0 . 003

0.049

O.U39

0.035

0.033

0.035

0.027

0.03U

0.029

O.O2B

ti.029

0.031

0.062

0. 103

0.093

0.099

0. 1 16

o. 122

0. 120

0. 136

0. 141

0. 121

0. 1 16

0. 117

0. 122

0 . O99

0.097

0. 1OO

0. Ill

0.061

<). o28

0. O32

o.oro

O.030

o.o~o

0.027

0.07)4

6.034

O.O". 7

O.OT9

0.04S

0.049

O.O.T!!

O.034

O.O7>4

O.0.73

O.i)?6

O.O SO

O . O3 1

O.03"

0. 070

(1.031

O. O79

0. 127

0-097

0.094

i ) . 1 O9

0. 1Z2

f. 115

0. 1O4

O.(i83

0.036

O.029

0. 024

O.022

O.019

0.019

O.O20

0.01S

0.013

0.013

U.024

0.035

O.057

O . OO6

0.094

O. 121

0. 131

U. 1 33

o. 123

O. 107

O. 104

-.'. 1)0

O. 123

0. 1 IV

n.097

0.003

0.075

0.071

O.036

O.CC1

O.OlO

0.01R

0.017

O.017

0.019

O.019

O. Olo

O. n?6

0.029

0 . OS'S

0.038

0.034

o.o; s

o. u:»7

O.013

O. OJ'u

o.ojn

O. 01 6

U.OI6

<!. O19

0.021

0 . 04 1

0.074

O . OG4

O.OOB

(I.O7R

0. 1O2

0. O78

0. Ofl4

0 . Ob *

O. 030

0.02-?

0.022

0.018

o.oia

0.013

O.O16

O.016

O.016

0.013

O.O16

0.037

'J.O69

O.O74

0.001

0. O96

0. 109

o. 109

0. 127

O. 1 j'»

0. 123

0. 126

o. 120

U. 1O2

0. OV3

0.070

O.O70

0.069

0.035

O.O15

0.015

0.017

0 .016

0.0 It.

0.013

U.017

u.olU

0 . Oi ' I

O.o2 i

o . 0"*O

O. OC7

o.o?:.'

o.oro

U.Olft

0.017

o.otr.

o . ( 1 1 b

0 . 0 1 4

O.O16

1 1 . 0 1 T.

0. 1)14

O.O-lo

O.O? -

O.O71

o.ij? r

0.0(15

o . o95

0. 10'.'

O.O 75

'•".007

D-6
Urms U rms u' w

— O. no

a.

 7

_i

- <i. 70

-O.6 5

-0.60

-o. 55

-o. 5O

o. 40

-0. 30

- ll. ?0

-0. lO

o. oo

0. IO

0. :.-i

o. :.o

o. 4o

0 . 50

0 . (SO

o. 7(1

o. no

o . 00

o . o

' t . . »n

o . 5' i

1.1. -In

n. .0

o. o

n In

O.,l,,

0. In

o. -O

- 0 . \i 1

-n. 4o

-i). ""O

o. I:;1-)

- O. 6(1

-0. 05

- O. 7O

-o. 75

- 0 . UO

-O . HO

0. 75

-0. 70

-0. 65

-0.60

- 0 . 55

0 . 50

-0.40

— O. 3o

- O'. .. i '

O. OO

0. Ill

1 1 2o

i") . 3' l

O. 4O

0. SO

o. 60

u. 7(i

O.RO

- u .

- O.

- o.

- O.

-0.

-O.

- o.

- u.

-o.

-u.

-'-).

-o.

- o.

-o.

-o.

-0.

-- 0 .

-O,

0.

• o.

-o.

- o.

o.

1 1,

- o.

I',

- 1 1.

ll.

-I ' .

o.

- o.

-0.

-0.

-•).

- o.

-0.

- 0.

-o.

- O.

— '"i.

-11.

-o.

-o.

-o.

-o.

-1 1 .

o.

- o.

- n »

i).

-i i .

- o.

" O.

- o.

- 0.

— (") .

o.

- o.

-0 .

"o

".' 1

3o

V)

70

'.(•)

•.o

:'.o

0

,'.(>

"I,"!

30

30

3' l

JO

JO

3O

*0

30

:.o

40

40

4o

l-n

4'i

In

-In

4o

.Ll i

(0

4o

4o

40

4O

40

40

40

4o

40

IO

50

'.=.0

5'i

•711.1

50

5o

5o

till

bo

5o

•vj

5o

5o

50

-,n

•-,•-,

""ii )

5o

5o

O . V &

n.74

O. 72

0 . 6 /

0.62

d.57

0. 5,'i

i ) .. 7 ..

1 . i)4

1 . 0 -'

1 . ( ) ?

1 . 0 >'

1.1)7

1 . 'JCl

1 .09

1 . 09

i . oa

t . O 7

1 . 07

1 . 04

t . ' i.'.i

i . on

l .00

1 .')!"!

1 . ' l->

1

i . u7

i ." /

1 . 10

1.10

l.i)7

1 . Oft

O.I35

•I. 64

0.64

( i . 65

0 . o9

1 1. ~*3

O. 76

0.7O

0.134

0.03

O. £)2

0.77

O.77

(>.«')

( ) . B4

! .04

I . 07

t

, , '

, ' 1 }

1 .09

t . 0 V

1 . 07

I . 09

1 . ( >7

i .(..*»

1 . 00

1.07

1 . 06

1 . O5

O. 75

0.7 ",

0.71

O. 66

O . ( >O

0 . 5 '.

<•> . "-,4

0. 7 1

I . 04

1 . 0 >"

1 . 09

1 . 07

1 . OS

1 . 09

1.O9

t . 09

1 . 03

1 . 07

1 . o;

l.o.)

1 . ' 16

1 .I'll

I . of!

1 . 0' 1

1 . If.,

1 .07

l.o/

1 . 07

t . 10

1 . 10

1 . 07

1 . 0,3

0 . 84

0.6?

o. f-,::

0.64

0 . 68

O. 72

O. 75

0.7 7

0 . 04

0.8".

O. fil

0. 78

0.76

0.77

0 . 33

1 . 04

1.07

1 . oV

1 . O7

1 . 08

1.0 9

i . on

1 . on

1 . OM

1 . O7

1 .06

J . 05

o. OOO

• 0. Oo4

o. Oo3

- o . uo'-i

o . OOO

0.01 1

O . o J 4

II. O6~.

0 . OC 7

0 . 05 7

O. O5 1

O . O5'J

0. O47

0.04(1

0.046

0.051

O. O41

0.044

O. O36

O. 033

O. (135

' l . 077

1 1 . 04 >

O.o'-, I

"i.i 147

0. n )/

o. i)4.'i

0. 044

O. 043

0. O44

O. l>45

0.0*9

O. 032

0 i 0 1 0

- 0. oo7

• 0. Oil

-O. 041

-O. 01 U

0. O46

- 0 . 0-7

- 0 . 0 1 5

-0.027

- o. O74

-O.II2H

-0. 025

- 0 . 0 1 5

- O . o 1 4

O. ol :•

O.OI2

O . O4 1

0 . 1 >47

O.049

o. o5o

0.047

O.050

O. O44

0 . 05 .7

0.046

o. U4.v.

u.088

0.038

O. OlJTJ

O. 0'.' 7

• O.nTO

-u. OO. i

-o. o07

-o. 066

-0.060

-l1. 037

-0.021

-("> . 0 1 6

- 0 . 0 1 4

-0.012

-O. Oo7

- ( l . 0 1 0

-0. OO7

- 0 . OOB

-0.008

-0 .011

- 0 .016

- 0 . ' ) 1 1

-O. oo7

-0. olo

-o.i io-j

-o . l n '0

- M I 1 1 T

1 . ' ' 1 .'

— ' I . O 1 1

-0. <_>"_•>

-o. O?6

- 0 . O39

-O. 061

-O.O86

-0.081

-0.070

-o.05.'i

-O.OI2

O.O11

O . U6< )

o. 1 15

0 . 080

O. 044

O. 0(.i7

•0. O27

-o. 045

- 0 . O7 7

-O . ( )05

-0.071

-0 . 052

-O. O3t

-0.027

-O.O21

- O . o 1 *

-O. O10

— O . i )OO

-0.004

- 0 . OOB

-0.013

o. oin

0. i~>63

I). O 7^3

o . on 7

O . Ori 7

O. 1 13

o.O 7-,

0 . O'"/ 5

0 . 1 ~ !

0. 074

O. O j'l

0.030

O. I1 *•?

0 . O3O

0.077

0 . O". 6

0. 1)33

0.036

0 . O35

O. O4O

0.047

0. O47

0.078

o.o y-t

o.o '5

o . o7 7

'). o2 '

i ) . o :, "

n. o".;:

o. i>33

O. O3o

o. o?n

O. 047

0.11 V

O . 1 (.1 1

II. I'tff,

o . OS 7

0.077

0.0 7 7

0. 065

0.058

o . O67

0.072

0."70

1 1 . O85

0.093

o . 1 03

0 . 1 ( > 7

0.067

0 . O35

• . ,-| "> -T

'J . U _* ..

0.033

0 . O ~>6

0 . 036

O. 074

0.032

0. 077

O . O3o

o.lV*7

o. 04o

O. 045

0 . Otiil

o. 076

0.0<~O

0 . 1 0'~>

o. 1 15

O. 0"".

0. O7.1

0. 177

O.M7-I

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