A Runge-Kutta time-marching method for two-dimensional nucleating flows of steam and comparison with measurements
By: by J.M. Rodriguez Lelis.
Publisher: University of Birmingham
Published: 1992
Place of publication: Birmingham
Language: eng
Description: SYNOPSIS
The work presented in this thesis is concerned with the theoretical treatment of
two-dimensional nucleating flows of steam in the blade-to-blade plane. The method
developed is a finite volume time-marching technique based on the Runge-Kutta algo-
rithm developed by A. Jameson.
The literature survey covers the early investigations of condensation in flowing
steam, the development of nucleation theory, droplet growth laws and their application
to one dimensional flows.
The four stages Runge-Kutta method is considered next. The description of the
numerical treatment is given in two parts. The first relates to the numerical scheme,
i.e., governing equations, space discretization, dissipative terms, convergency acceler-
ation and time stepping procedure. The second part deals with the treatment of the
boundary conditions in blade cascades. This is then followed by a chapter describing
the inclusion of the additional terms to allow for two-phase effects and the procedure
used for evaluating them.
A description of a blowdown tunnel used for the experimental study of two -
dimensional two-phase flows and the instrumentation employed is given in the next
chapter.
Comparisons have then been carried out between theoretical solutions and experi-
mental measurements. The quality of the agreement obtained with the experimental
results is satisfactory in the case of dry flows and promising in the nucleating tests.



ORIGINAL WORK
The work described in this thesis has been a part of a research project conducted
by a team of research students under the supervision of Dr. F. Bakhtar. As a member
of this team, the author has been involved in all stages of the theoretical analysis and
experimental work presented. He has been personally responsible for:-
1. The development of the Runge-Kutta time marching method.
2. Execution of the solutions of °ows in the convergent-divergent nozzles and the
two blade cascades presented.
3. Surface pressure and velocity measurements for the rotor blade tip section at 138o
inlet angle.
Notes: Thesis (Ph.D) - University of Birmingham, School of Manufacturing and Mechanical Engineering.
Table of contents: pagenum: 1
label: 1
class: part
title: Introduction; pagenum: 4
title: Condensation in Flowing Steam
label: 2; pagenum: 19
title: The Numerical Method
label: 3; pagenum: 43
title: Treatment of Two-Dimensional Two-Phase Flow
label: 4; pagenum: 56
label: 5
title: Experimental Apparatus and Procedure; pagenum: 67
title: Results and Discussion
label: 6; pagenum: 98
title: Summary of Conclusions
label: 7; pagenum: 101
label: apendix a
title: Properties of Steam; pagenum: 112
label: apendix b
title: Nucleation Theory; pagenum: 126
label: apendix c
title: Droplet Growth; pagenum: 136
title: Geometric and Experimental Data
label: apendix d; pagenum: 138
title: references
label: I