# Experimental Research of Journal Orbit for Water-Lubricated Bearing

Authors: Xiaoyan Ye; Jing Wang; Desheng Zhang; Lanqian Hu; Xunan She
Journal: Mathematical Problems in Engineering
 (2016)

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## Abstract

To study the transient dynamic characteristics of water-lubricated bearing-rotor system in seawater desalination high pressure pump, the water-lubricated bearing test device was designed and built based on the prototype of high pressure pump with 4-stage rotors. The test was conducted to study the journal orbit and circumferential pressure distribution of journal bearing. The result shows that, in startup stage, the journal whirled with little amplitude in low revolution speed, and as the revolution speed increased, the journal began to move irregularly. The hydrodynamic lubrication formed basically when close to the rated revolution speed, and there is stable whirling center and amplitude of the journal orbit. The circumferential pressure distribution of journal bearing changed severely and kept consistent with the change of journal orbit; when the revolution speed reached the rated speed, the pressure distribution is stable. We changed the radius clearance, the aspect ratio, and the rotating speed to analyze the influence on the bearing-rotor system at steady speed. In conclusion, the journal orbit and circumferential pressure of journal bearing are very stable when the clearance radius is 0.05 mm, the aspect ratio is 1, and the revolution speed is 3000 r/min.


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## Body

## 1. Introduction

The water-lubricated bearing in seawater desalination pump not only simplifies the structure but also reduces the friction and energy consummation caused by the mechanical drive, which is due to the small friction factor of elastic hydrodynamic lubrication, and especially avoids the contamination caused by the leakage. But compared with the oil film, the low dynamic viscosity forms the low carrying capacity and it is difficult to form the hydrodynamic lubrication in complex lubrication condition. Though there is some progress in the research of lubrication mechanism, the water-lubricated bearing is treated as the independent research object, and most are theoretical [1–9] and simulation analysis [10–15]; there are few researches for the water-lubricated bearing and rotor system.In recent years, many scholars conduct the experimental research in journal bearing. Liu [16] designed the water-lubricated bearing test device which consisted of the housing seat, shaft, loading cylinder, and journal bearing and a set of mutually perpendicular displacement sensors was placed in the side of the tested bearing. Pressure and temperature sensors were arranged along the shaft circumference ninety degrees apart. Zhang and Wag [17] built a water-lubricated bearing seal test device which is compatible for two lubricating mediums.To achieve a real time monitoring and control of the test device quickly and stably, a metering pump was applied to measure dynamic seal leakage and dynamic seal friction, and temperature, leakage, and pressure were monitored by computer system. Zhang and Yuan [18] tested the journal bearing in high-speed, light-load, and high pressure conditions and designed a relevant test device which used low-viscosity lubricating medium. Two eddy current displacement sensors that are mutually perpendicular were arranged at the front and rear of tested bearing; film thickness in vertical and horizontal directions was tested. The test device could measure the power consumption varied with speed, as well as the water-supply pressure varying with film thickness. Dimond and Rockwell [19] developed a bearing test device for water-lubricated and oil-lubricated bearing. The test rig was designed with light weight, load stability, and high-speed based on the structure of turbines. High-speed turbines usually adopt oil-lubricated bearing, but they can provide some reference for water-lubricated bearing. Ozsarac and Findik [20] designed the journal bearing test device to study the friction and wear properties of oil-lubricated bearing. The friction and wear test were done on the condition of linear speed 0.5 m/s and the test force of 10 N, 20 N, and 40 N. Wear loss could be obtained through the above experiment and the coefficients of friction were calculated. Wear and friction characteristics of journal bearing materials were discussed and analyzed by electron microscope observation of the surface wear.Based on the above experimental research in journal bearing, we find few researches into the influence of the journal parameter and bearing-rotor system. In order to conduct the research and apply the research result for design optimization, the water-lubricated bearing test device was designed and built based on seawater desalination pump. The journal orbit and circumferential pressure of journal bearing were analyzed. In the basis of dry-rotor test, bearing-rotor system experimental investigation was carried out under the startup process and steady revolution speed.


## 2. Introduction of Test Device

### 2.1. Desalination High Pressure Multistage Pump

The seawater desalination high pressure pump is the crucial equipment in the reverse osmosis seawater desalination project; as Figure1 shows, it is the typical multistage pump structure with two ends of water-lubricated journal bearing. In the pump operation process, the rotor system would bear the unbalancing force and unsteady fluid exciting force, of which the transient responses are very closely related. The transient dynamic characteristics would affect the eccentricity ratio, carrying capacity, damping, and stiffness coefficient and also have huge influence on the stability and reliability of the pump and the project.Figure 1
The structure of high pressure pump.


### 2.2. The Overall Design of the Test Device

Based on structure of the seawater desalination high pressure pump, taking into account the safety and operability of loading and testing system, a test device was designed and built.From Figure2, we can see that the mechanical structure of the test device is mainly composed of the cylinder, journal bearing in driving and nondriving end, four discs, bracket, and pedestal. The shaft is supported by the journal bearings, which are mounted in the bearing base, and is driven by the frequency conversion motor through coupling. At the driving end bearing, the cartridge mechanical seal formed a little cavity with shaft and journal bearing. Outside the cavity, there is a mounting hole of pressure sensor and water inlet and outlet. In the nondriving end bearing, the end cap formed a large cavity with the shaft and journal bearing, of which outside there is a mounting hole for pressure sensor and water inlet and outlet. Both ends of journal bearing are connected to the cylinder through the flange. The assembly of the cylinder and the two ends of the journal bearing is fixed by the bracket on the pedestal. In the bottom of the cylinder there is a drain pipe joint. This design of the test device takes into account the simplification of the load system; four discs were mounted in the shaft and we adjust the radial load through the disc to simulate the radial load in the seawater desalination multistage high pressure pump. The advantage of this loading system is that the radial load can be adjusted through changing the quantity, weight, and thickness of disc with the simple and convenient operation. In addition, this test device can also conduct the test in dry and wet rotor.Figure 2
Test device structure.


### 2.3. Test Plan and Sensor Installation

#### 2.3.1. Test Bench and Bearing Parameter

The parameter of the test bearing is as follows: the diameter is 43 mm, length-diameter ratio is 0.7, 0.8, and 1, the radius is 0.05 mm, 0.1 mm, and 0.15 mm, water-supply pressure is 0.3 MPa, and the revolution speed is 2000 r/min, 2500 r/min, and 3000 r/min. The test condition is the dry-rotor that means two-end water inlet and drain from the bottom of cylinder.


#### 2.3.2. Test Plan

(1) Test Plan for Startup Process. The revolution speed is adjusted by the frequency conversion motor, the startup time was set to 16 s, and we record the displacement and pressure distribution.(2) Test Plan for Steady Evolution SpeedTest Plan 1. Revolution speed is 3000 r/min, L
/
D
=
1, and radius clearance is 0.05 mm, 0.1 mm, and 0.15 mm. The tests in different radius clearance were conducted to analyze the influence on the system.Test Plan 2. Revolution speed is 3000 r/min, radius clearance is 0.05 mm, and L
/
D
=
0.7, 0.8, and 1. Tests in different L
/
D were conducted to analyze the influence on the system.Test Plan 3. Radius clearance is 0.05 mm, L
/
D
=
1, and revolution speed is 2000 r/min, 2500 r/min, and 3000 r/min. Tests in different revolution speed were conducted to analyze the influence on the system.


#### 2.3.3. Sensor Installation

The research object of this test is the journal orbit and circumferential pressure distribution of the journal bearing. The rotation direction of the rotor is clockwise; as Figure3 shows, 6 pressure sensors were mounted along the rotation direction, from number 1 to number 6. As Figure 4 shows, a set of eddy current displacement sensors that are mutually perpendicular were mounted close to the journal bearing in the cylinder. The data recorded were analyzed by the data acquisition system as Figure 5 shows.Figure 3
Pressure sensor installation.Figure 4
Eddy current displacement sensor installation.Figure 5
Data acquisition system.


## 2.1. Desalination High Pressure Multistage Pump

The seawater desalination high pressure pump is the crucial equipment in the reverse osmosis seawater desalination project; as Figure1 shows, it is the typical multistage pump structure with two ends of water-lubricated journal bearing. In the pump operation process, the rotor system would bear the unbalancing force and unsteady fluid exciting force, of which the transient responses are very closely related. The transient dynamic characteristics would affect the eccentricity ratio, carrying capacity, damping, and stiffness coefficient and also have huge influence on the stability and reliability of the pump and the project.Figure 1
The structure of high pressure pump.


## 2.2. The Overall Design of the Test Device

Based on structure of the seawater desalination high pressure pump, taking into account the safety and operability of loading and testing system, a test device was designed and built.From Figure2, we can see that the mechanical structure of the test device is mainly composed of the cylinder, journal bearing in driving and nondriving end, four discs, bracket, and pedestal. The shaft is supported by the journal bearings, which are mounted in the bearing base, and is driven by the frequency conversion motor through coupling. At the driving end bearing, the cartridge mechanical seal formed a little cavity with shaft and journal bearing. Outside the cavity, there is a mounting hole of pressure sensor and water inlet and outlet. In the nondriving end bearing, the end cap formed a large cavity with the shaft and journal bearing, of which outside there is a mounting hole for pressure sensor and water inlet and outlet. Both ends of journal bearing are connected to the cylinder through the flange. The assembly of the cylinder and the two ends of the journal bearing is fixed by the bracket on the pedestal. In the bottom of the cylinder there is a drain pipe joint. This design of the test device takes into account the simplification of the load system; four discs were mounted in the shaft and we adjust the radial load through the disc to simulate the radial load in the seawater desalination multistage high pressure pump. The advantage of this loading system is that the radial load can be adjusted through changing the quantity, weight, and thickness of disc with the simple and convenient operation. In addition, this test device can also conduct the test in dry and wet rotor.Figure 2
Test device structure.


## 2.3. Test Plan and Sensor Installation

### 2.3.1. Test Bench and Bearing Parameter

The parameter of the test bearing is as follows: the diameter is 43 mm, length-diameter ratio is 0.7, 0.8, and 1, the radius is 0.05 mm, 0.1 mm, and 0.15 mm, water-supply pressure is 0.3 MPa, and the revolution speed is 2000 r/min, 2500 r/min, and 3000 r/min. The test condition is the dry-rotor that means two-end water inlet and drain from the bottom of cylinder.


### 2.3.2. Test Plan

(1) Test Plan for Startup Process. The revolution speed is adjusted by the frequency conversion motor, the startup time was set to 16 s, and we record the displacement and pressure distribution.(2) Test Plan for Steady Evolution SpeedTest Plan 1. Revolution speed is 3000 r/min, L
/
D
=
1, and radius clearance is 0.05 mm, 0.1 mm, and 0.15 mm. The tests in different radius clearance were conducted to analyze the influence on the system.Test Plan 2. Revolution speed is 3000 r/min, radius clearance is 0.05 mm, and L
/
D
=
0.7, 0.8, and 1. Tests in different L
/
D were conducted to analyze the influence on the system.Test Plan 3. Radius clearance is 0.05 mm, L
/
D
=
1, and revolution speed is 2000 r/min, 2500 r/min, and 3000 r/min. Tests in different revolution speed were conducted to analyze the influence on the system.


### 2.3.3. Sensor Installation

The research object of this test is the journal orbit and circumferential pressure distribution of the journal bearing. The rotation direction of the rotor is clockwise; as Figure3 shows, 6 pressure sensors were mounted along the rotation direction, from number 1 to number 6. As Figure 4 shows, a set of eddy current displacement sensors that are mutually perpendicular were mounted close to the journal bearing in the cylinder. The data recorded were analyzed by the data acquisition system as Figure 5 shows.Figure 3
Pressure sensor installation.Figure 4
Eddy current displacement sensor installation.Figure 5
Data acquisition system.


## 2.3.1. Test Bench and Bearing Parameter

The parameter of the test bearing is as follows: the diameter is 43 mm, length-diameter ratio is 0.7, 0.8, and 1, the radius is 0.05 mm, 0.1 mm, and 0.15 mm, water-supply pressure is 0.3 MPa, and the revolution speed is 2000 r/min, 2500 r/min, and 3000 r/min. The test condition is the dry-rotor that means two-end water inlet and drain from the bottom of cylinder.


## 2.3.2. Test Plan

(1) Test Plan for Startup Process. The revolution speed is adjusted by the frequency conversion motor, the startup time was set to 16 s, and we record the displacement and pressure distribution.(2) Test Plan for Steady Evolution SpeedTest Plan 1. Revolution speed is 3000 r/min, L
/
D
=
1, and radius clearance is 0.05 mm, 0.1 mm, and 0.15 mm. The tests in different radius clearance were conducted to analyze the influence on the system.Test Plan 2. Revolution speed is 3000 r/min, radius clearance is 0.05 mm, and L
/
D
=
0.7, 0.8, and 1. Tests in different L
/
D were conducted to analyze the influence on the system.Test Plan 3. Radius clearance is 0.05 mm, L
/
D
=
1, and revolution speed is 2000 r/min, 2500 r/min, and 3000 r/min. Tests in different revolution speed were conducted to analyze the influence on the system.


## 2.3.3. Sensor Installation

The research object of this test is the journal orbit and circumferential pressure distribution of the journal bearing. The rotation direction of the rotor is clockwise; as Figure3 shows, 6 pressure sensors were mounted along the rotation direction, from number 1 to number 6. As Figure 4 shows, a set of eddy current displacement sensors that are mutually perpendicular were mounted close to the journal bearing in the cylinder. The data recorded were analyzed by the data acquisition system as Figure 5 shows.Figure 3
Pressure sensor installation.Figure 4
Eddy current displacement sensor installation.Figure 5
Data acquisition system.


## 3. The Analysis of Test in Startup Stage

The axial displacement inX and Y directions and circumferential pressure distribution were recorded in the startup stage of test device. NI PXI acquisition system records data of axial displacement and pressure in average 3 seconds.


### 3.1. The Analysis of the Test in Startup Stage

#### 3.1.1. The Analysis of Journal Orbit in Startup Stage

After the data processing by the data acquisition system, three figures of journal orbit in different time are shown (Figures6(a), 6(b), and 6(c)).(i)
In 0–4 s of the startup stage, due to the process the journal from static to rotational will be accompanied by the formation of dynamic pressure water film. The dry friction between the bearing bushing and journal transferred to boundary friction. Therefore, this kind of instability would cause the great volatility in journal orbit. With the increase of revolution speed, the journal is lifted and moved toward the rotation direction by the water film force, and the journal orbit gradually stabilized with small whirling amplitude.
(ii)
In 4 s–8 s of the startup stage, Figure6(b) shows the chaotic orbits and unstable whirling center. This is due to the increase in revolution speed; the hydrodynamic lubrication formed gradually, but the unstable lubrication condition results in the unstable water film force.
(iii)
In 8 s–16 s of the startup stage, Figure6(c) shows the journal orbit with stable whirling center, of which the shape is similar to oval; this is because the hydrodynamic lubrication has been basically formed and water film is stable.Figure 6
Journal orbit in startup stage.
(a)
The journal orbit in 0–4 s
(b)
The journal orbit in 4–10 s
(c)
The journal orbit in 10–16 s


#### 3.1.2. Circumferential Pressure Distribution Analysis of Journal Bearing in Startup Stage

From Figure7, we can see that, in 0–2 s of the startup stage, the rotor started and brought the water into the journal and bearing busing, but due to the small revolution speed, pressure is small and change is little. In 2–4 s, pressure begins to change, pressure in measure points number 1 and number 2 rises, and the rest drop, which is due to the unstable water film during the startup period. In 8 s, dynamic pressure water film formed gradually and pressure increases with time. After 11 s, although there is obvious periodic vibration, pressure is stable in each pressure measure point. According to the journal orbit and the arrangement of pressure sensor, pressure measure points number 1 to number 5 are almost located in convergence zone of water-lubricated bearing, and the pressure gradually increases along the axial direction and reaches the maximum value in measure point number 4, which is consistent with the measure result. The pressure in measure point number 6 is located in the divergent gap, which is also consistent with the measure result.Figure 7
The circumferential pressure distribution of the startup stage.


## 3.1. The Analysis of the Test in Startup Stage

### 3.1.1. The Analysis of Journal Orbit in Startup Stage

After the data processing by the data acquisition system, three figures of journal orbit in different time are shown (Figures6(a), 6(b), and 6(c)).(i)
In 0–4 s of the startup stage, due to the process the journal from static to rotational will be accompanied by the formation of dynamic pressure water film. The dry friction between the bearing bushing and journal transferred to boundary friction. Therefore, this kind of instability would cause the great volatility in journal orbit. With the increase of revolution speed, the journal is lifted and moved toward the rotation direction by the water film force, and the journal orbit gradually stabilized with small whirling amplitude.
(ii)
In 4 s–8 s of the startup stage, Figure6(b) shows the chaotic orbits and unstable whirling center. This is due to the increase in revolution speed; the hydrodynamic lubrication formed gradually, but the unstable lubrication condition results in the unstable water film force.
(iii)
In 8 s–16 s of the startup stage, Figure6(c) shows the journal orbit with stable whirling center, of which the shape is similar to oval; this is because the hydrodynamic lubrication has been basically formed and water film is stable.Figure 6
Journal orbit in startup stage.
(a)
The journal orbit in 0–4 s
(b)
The journal orbit in 4–10 s
(c)
The journal orbit in 10–16 s


### 3.1.2. Circumferential Pressure Distribution Analysis of Journal Bearing in Startup Stage

From Figure7, we can see that, in 0–2 s of the startup stage, the rotor started and brought the water into the journal and bearing busing, but due to the small revolution speed, pressure is small and change is little. In 2–4 s, pressure begins to change, pressure in measure points number 1 and number 2 rises, and the rest drop, which is due to the unstable water film during the startup period. In 8 s, dynamic pressure water film formed gradually and pressure increases with time. After 11 s, although there is obvious periodic vibration, pressure is stable in each pressure measure point. According to the journal orbit and the arrangement of pressure sensor, pressure measure points number 1 to number 5 are almost located in convergence zone of water-lubricated bearing, and the pressure gradually increases along the axial direction and reaches the maximum value in measure point number 4, which is consistent with the measure result. The pressure in measure point number 6 is located in the divergent gap, which is also consistent with the measure result.Figure 7
The circumferential pressure distribution of the startup stage.


## 3.1.1. The Analysis of Journal Orbit in Startup Stage

After the data processing by the data acquisition system, three figures of journal orbit in different time are shown (Figures6(a), 6(b), and 6(c)).(i)
In 0–4 s of the startup stage, due to the process the journal from static to rotational will be accompanied by the formation of dynamic pressure water film. The dry friction between the bearing bushing and journal transferred to boundary friction. Therefore, this kind of instability would cause the great volatility in journal orbit. With the increase of revolution speed, the journal is lifted and moved toward the rotation direction by the water film force, and the journal orbit gradually stabilized with small whirling amplitude.
(ii)
In 4 s–8 s of the startup stage, Figure6(b) shows the chaotic orbits and unstable whirling center. This is due to the increase in revolution speed; the hydrodynamic lubrication formed gradually, but the unstable lubrication condition results in the unstable water film force.
(iii)
In 8 s–16 s of the startup stage, Figure6(c) shows the journal orbit with stable whirling center, of which the shape is similar to oval; this is because the hydrodynamic lubrication has been basically formed and water film is stable.Figure 6
Journal orbit in startup stage.
(a)
The journal orbit in 0–4 s
(b)
The journal orbit in 4–10 s
(c)
The journal orbit in 10–16 s


## 3.1.2. Circumferential Pressure Distribution Analysis of Journal Bearing in Startup Stage

From Figure7, we can see that, in 0–2 s of the startup stage, the rotor started and brought the water into the journal and bearing busing, but due to the small revolution speed, pressure is small and change is little. In 2–4 s, pressure begins to change, pressure in measure points number 1 and number 2 rises, and the rest drop, which is due to the unstable water film during the startup period. In 8 s, dynamic pressure water film formed gradually and pressure increases with time. After 11 s, although there is obvious periodic vibration, pressure is stable in each pressure measure point. According to the journal orbit and the arrangement of pressure sensor, pressure measure points number 1 to number 5 are almost located in convergence zone of water-lubricated bearing, and the pressure gradually increases along the axial direction and reaches the maximum value in measure point number 4, which is consistent with the measure result. The pressure in measure point number 6 is located in the divergent gap, which is also consistent with the measure result.Figure 7
The circumferential pressure distribution of the startup stage.


## 4. Test Result Analysis under Stable Revolution Speed

### 4.1. The Influence of Radius Clearance on Bearing-Rotor System

#### 4.1.1. The Analysis of Journal Orbit in Different Radius Clearance

WhenL
/
D
=
1 and revolution speed is 3000 r/min, the journal orbits of the radius clearance c = 0.15 mm, 0.1 mm, and 0.05 mm were obtained. We can see from Figure 8 that the clearance affects the journal orbit obviously. When c = 0.05 mm, the regular whirling shape and stable whirling center which are caused by the rotor eccentricity indicate that the bearing-rotor system is stable. When c = 0.01 mm, although the whirling center is stable, the journal orbit is irregular. The journal orbit indicates that the bearing-rotor system is unstable and the water film vibration failure may occur. When c = 0.15 mm, the journal orbit vibrates obviously and the irregular journal orbit caused the large span in X and Y directions. The bearing-rotor system is not stable.Figure 8
The journal orbit in different radius clearance.
(a)
c = 0.05 mm
(b)
c = 0.1 mm
(c)
c = 0.15 mm


#### 4.1.2. The Analysis of Circumferential Pressure Distribution in Different Radius Clearance

From Figure9, we can see that when c = 0.05 mm, pressure vibration in each measure point has obvious periodicity and is stable. The pressure amplitude and the pressure vibration are very consistent with the theoretical analysis, especially in the wedge convergent area, which indicate that the bearing-rotor system is very stable. When c = 0.1 mm, pressure vibration in each measure point is small but the vibration period changes a lot as before. Besides measure points number 3 and number 6, the pressure peak values of the rest are concentrated with no obvious pressure gradient, and combined with the journal orbit we can see that the bearing-rotor system began to be unstable. When c = 0.15 mm, the vibration periodicity improved but the vibration amplitude is large and vibration shape is irregular; the peak value especially is in measure point number 6, which has large difference compared with theoretical analysis. Combined with the journal orbit, the bearing-rotor system is very unstable.Figure 9
Circumferential pressure distribution in different radius clearance.
(a)
c = 0.05 mm
(b)
c = 0.1 mm
(c)
c = 0.15 mm


### 4.2. The Influence of the Aspect Ratio on the Bearing-Rotor System

#### 4.2.1. The Analysis of Journal Orbit in Different Aspect Ratio

Whenc
=
0.05mm, revolution speed is 3000 r/min, and the journal orbits of the aspect ratio L
/
D
=
0.7, 0.8, and 1 were obtained, from Figure 10, we can see that the L
/
D has obvious influence in journal orbit. When L
/
D
=
0.7, the whirling center is unstable, and the journal orbit is irregular, the orbit overlapping occurred. When L
/
D
=
0.8, the journal orbit began to vibrate, and the orbit overlapping disappeared, the whirling center offsets toward the negative X and Y directions. The whirling shape change is obvious as before, the “inner eight” shape may be caused by the rotor misalignment, and the bearing-rotor system is still not stable. When L
/
D
=
1, the stable whirling center and stable journal orbit appear. This indicates that the bearing-rotor system began to be stable.Figure 10
The journal orbit in different aspect ratio.
(a)
L
/
D
=
0.7
(b)
L
/
D
=
0.8
(c)
L
/
D
=
1


#### 4.2.2. The Analysis of Circumferential Pressure Distribution in Different Aspect Ratio

From Figure11, when L
/
D
=
0.7, vibration occurred in each pressure measure point, and the vibration periodicity is short besides measure points number 3 and number 6, the peak values of the rest are concentrated with no obvious pressure gradient. Combined with the journal orbit, the bearing-rotor is not stable. When L
/
D
=
0.8, the pressure vibration periodicity is not obvious especially in measure points number 1 and number 2, which indicates that the bearing-rotor system is not stable. When L
/
D
=
1, the pressure vibration periodicity improved and there is obvious pressure gradient in each pressure measure point, and the pressure amplitude is consistent with the theoretical analysis, this indicates that the bearing-rotor system began to be stable.Figure 11
Circumferential pressure distribution in different aspect ratio.
(a)
L
/
D
=
0.7
(b)
L
/
D
=
0
.
8
(c)
L
/
D
=
1


### 4.3. The Influence of the Revolution Speed on the Bearing-Rotor System

#### 4.3.1. The Analysis of Journal Orbit in Different Revolution Speed

From Figure12 we can see that the revolution speed has little influence in journal orbit, but only in the whirling amplitude. When n
=
2000r/min, the slight journal orbit oscillation occurred; when n
=
2500r/min, the journal orbit began to be eliminated but the whirling amplitude also reduced; when n
=
3000 r/min, the journal orbit tends to be the oval and the whirling amplitude also increases. The above figures of journal orbit show that increasing the revolution speed can improve the stability of the bearing-rotor system.Figure 12
The journal orbit in different revolution speed.
(a)
n
=
2000r/min
(b)
n
=
2500r/min
(c)
n
=
3000 r/min


#### 4.3.2. The Analysis of Circumferential Pressure Distribution in Different Revolution Speed

From Figure13, we can see that the main influence of revolution speed reflects in pressure vibration periodicity and stability. In n
=
2000r/min and 2500 r/min, the pressure vibration and periodicity both are not stable. While in n
=
3000 r/min, we can see the very stable vibration periodicity which is consistent with the journal orbit, so this indicates that the bearing-rotor system is stable in n
=
300 r/min.Figure 13
Circumferential pressure distribution in different revolution speed.
(a)
n
=
2000r/min
(b)
n
=
2500r/min
(c)
n
=
3000 r/min


## 4.1. The Influence of Radius Clearance on Bearing-Rotor System

### 4.1.1. The Analysis of Journal Orbit in Different Radius Clearance

WhenL
/
D
=
1 and revolution speed is 3000 r/min, the journal orbits of the radius clearance c = 0.15 mm, 0.1 mm, and 0.05 mm were obtained. We can see from Figure 8 that the clearance affects the journal orbit obviously. When c = 0.05 mm, the regular whirling shape and stable whirling center which are caused by the rotor eccentricity indicate that the bearing-rotor system is stable. When c = 0.01 mm, although the whirling center is stable, the journal orbit is irregular. The journal orbit indicates that the bearing-rotor system is unstable and the water film vibration failure may occur. When c = 0.15 mm, the journal orbit vibrates obviously and the irregular journal orbit caused the large span in X and Y directions. The bearing-rotor system is not stable.Figure 8
The journal orbit in different radius clearance.
(a)
c = 0.05 mm
(b)
c = 0.1 mm
(c)
c = 0.15 mm


### 4.1.2. The Analysis of Circumferential Pressure Distribution in Different Radius Clearance

From Figure9, we can see that when c = 0.05 mm, pressure vibration in each measure point has obvious periodicity and is stable. The pressure amplitude and the pressure vibration are very consistent with the theoretical analysis, especially in the wedge convergent area, which indicate that the bearing-rotor system is very stable. When c = 0.1 mm, pressure vibration in each measure point is small but the vibration period changes a lot as before. Besides measure points number 3 and number 6, the pressure peak values of the rest are concentrated with no obvious pressure gradient, and combined with the journal orbit we can see that the bearing-rotor system began to be unstable. When c = 0.15 mm, the vibration periodicity improved but the vibration amplitude is large and vibration shape is irregular; the peak value especially is in measure point number 6, which has large difference compared with theoretical analysis. Combined with the journal orbit, the bearing-rotor system is very unstable.Figure 9
Circumferential pressure distribution in different radius clearance.
(a)
c = 0.05 mm
(b)
c = 0.1 mm
(c)
c = 0.15 mm


## 4.1.1. The Analysis of Journal Orbit in Different Radius Clearance

WhenL
/
D
=
1 and revolution speed is 3000 r/min, the journal orbits of the radius clearance c = 0.15 mm, 0.1 mm, and 0.05 mm were obtained. We can see from Figure 8 that the clearance affects the journal orbit obviously. When c = 0.05 mm, the regular whirling shape and stable whirling center which are caused by the rotor eccentricity indicate that the bearing-rotor system is stable. When c = 0.01 mm, although the whirling center is stable, the journal orbit is irregular. The journal orbit indicates that the bearing-rotor system is unstable and the water film vibration failure may occur. When c = 0.15 mm, the journal orbit vibrates obviously and the irregular journal orbit caused the large span in X and Y directions. The bearing-rotor system is not stable.Figure 8
The journal orbit in different radius clearance.
(a)
c = 0.05 mm
(b)
c = 0.1 mm
(c)
c = 0.15 mm


## 4.1.2. The Analysis of Circumferential Pressure Distribution in Different Radius Clearance

From Figure9, we can see that when c = 0.05 mm, pressure vibration in each measure point has obvious periodicity and is stable. The pressure amplitude and the pressure vibration are very consistent with the theoretical analysis, especially in the wedge convergent area, which indicate that the bearing-rotor system is very stable. When c = 0.1 mm, pressure vibration in each measure point is small but the vibration period changes a lot as before. Besides measure points number 3 and number 6, the pressure peak values of the rest are concentrated with no obvious pressure gradient, and combined with the journal orbit we can see that the bearing-rotor system began to be unstable. When c = 0.15 mm, the vibration periodicity improved but the vibration amplitude is large and vibration shape is irregular; the peak value especially is in measure point number 6, which has large difference compared with theoretical analysis. Combined with the journal orbit, the bearing-rotor system is very unstable.Figure 9
Circumferential pressure distribution in different radius clearance.
(a)
c = 0.05 mm
(b)
c = 0.1 mm
(c)
c = 0.15 mm


## 4.2. The Influence of the Aspect Ratio on the Bearing-Rotor System

### 4.2.1. The Analysis of Journal Orbit in Different Aspect Ratio

Whenc
=
0.05mm, revolution speed is 3000 r/min, and the journal orbits of the aspect ratio L
/
D
=
0.7, 0.8, and 1 were obtained, from Figure 10, we can see that the L
/
D has obvious influence in journal orbit. When L
/
D
=
0.7, the whirling center is unstable, and the journal orbit is irregular, the orbit overlapping occurred. When L
/
D
=
0.8, the journal orbit began to vibrate, and the orbit overlapping disappeared, the whirling center offsets toward the negative X and Y directions. The whirling shape change is obvious as before, the “inner eight” shape may be caused by the rotor misalignment, and the bearing-rotor system is still not stable. When L
/
D
=
1, the stable whirling center and stable journal orbit appear. This indicates that the bearing-rotor system began to be stable.Figure 10
The journal orbit in different aspect ratio.
(a)
L
/
D
=
0.7
(b)
L
/
D
=
0.8
(c)
L
/
D
=
1


### 4.2.2. The Analysis of Circumferential Pressure Distribution in Different Aspect Ratio

From Figure11, when L
/
D
=
0.7, vibration occurred in each pressure measure point, and the vibration periodicity is short besides measure points number 3 and number 6, the peak values of the rest are concentrated with no obvious pressure gradient. Combined with the journal orbit, the bearing-rotor is not stable. When L
/
D
=
0.8, the pressure vibration periodicity is not obvious especially in measure points number 1 and number 2, which indicates that the bearing-rotor system is not stable. When L
/
D
=
1, the pressure vibration periodicity improved and there is obvious pressure gradient in each pressure measure point, and the pressure amplitude is consistent with the theoretical analysis, this indicates that the bearing-rotor system began to be stable.Figure 11
Circumferential pressure distribution in different aspect ratio.
(a)
L
/
D
=
0.7
(b)
L
/
D
=
0
.
8
(c)
L
/
D
=
1


## 4.2.1. The Analysis of Journal Orbit in Different Aspect Ratio

Whenc
=
0.05mm, revolution speed is 3000 r/min, and the journal orbits of the aspect ratio L
/
D
=
0.7, 0.8, and 1 were obtained, from Figure 10, we can see that the L
/
D has obvious influence in journal orbit. When L
/
D
=
0.7, the whirling center is unstable, and the journal orbit is irregular, the orbit overlapping occurred. When L
/
D
=
0.8, the journal orbit began to vibrate, and the orbit overlapping disappeared, the whirling center offsets toward the negative X and Y directions. The whirling shape change is obvious as before, the “inner eight” shape may be caused by the rotor misalignment, and the bearing-rotor system is still not stable. When L
/
D
=
1, the stable whirling center and stable journal orbit appear. This indicates that the bearing-rotor system began to be stable.Figure 10
The journal orbit in different aspect ratio.
(a)
L
/
D
=
0.7
(b)
L
/
D
=
0.8
(c)
L
/
D
=
1


## 4.2.2. The Analysis of Circumferential Pressure Distribution in Different Aspect Ratio

From Figure11, when L
/
D
=
0.7, vibration occurred in each pressure measure point, and the vibration periodicity is short besides measure points number 3 and number 6, the peak values of the rest are concentrated with no obvious pressure gradient. Combined with the journal orbit, the bearing-rotor is not stable. When L
/
D
=
0.8, the pressure vibration periodicity is not obvious especially in measure points number 1 and number 2, which indicates that the bearing-rotor system is not stable. When L
/
D
=
1, the pressure vibration periodicity improved and there is obvious pressure gradient in each pressure measure point, and the pressure amplitude is consistent with the theoretical analysis, this indicates that the bearing-rotor system began to be stable.Figure 11
Circumferential pressure distribution in different aspect ratio.
(a)
L
/
D
=
0.7
(b)
L
/
D
=
0
.
8
(c)
L
/
D
=
1


## 4.3. The Influence of the Revolution Speed on the Bearing-Rotor System

### 4.3.1. The Analysis of Journal Orbit in Different Revolution Speed

From Figure12 we can see that the revolution speed has little influence in journal orbit, but only in the whirling amplitude. When n
=
2000r/min, the slight journal orbit oscillation occurred; when n
=
2500r/min, the journal orbit began to be eliminated but the whirling amplitude also reduced; when n
=
3000 r/min, the journal orbit tends to be the oval and the whirling amplitude also increases. The above figures of journal orbit show that increasing the revolution speed can improve the stability of the bearing-rotor system.Figure 12
The journal orbit in different revolution speed.
(a)
n
=
2000r/min
(b)
n
=
2500r/min
(c)
n
=
3000 r/min


### 4.3.2. The Analysis of Circumferential Pressure Distribution in Different Revolution Speed

From Figure13, we can see that the main influence of revolution speed reflects in pressure vibration periodicity and stability. In n
=
2000r/min and 2500 r/min, the pressure vibration and periodicity both are not stable. While in n
=
3000 r/min, we can see the very stable vibration periodicity which is consistent with the journal orbit, so this indicates that the bearing-rotor system is stable in n
=
300 r/min.Figure 13
Circumferential pressure distribution in different revolution speed.
(a)
n
=
2000r/min
(b)
n
=
2500r/min
(c)
n
=
3000 r/min


## 4.3.1. The Analysis of Journal Orbit in Different Revolution Speed

From Figure12 we can see that the revolution speed has little influence in journal orbit, but only in the whirling amplitude. When n
=
2000r/min, the slight journal orbit oscillation occurred; when n
=
2500r/min, the journal orbit began to be eliminated but the whirling amplitude also reduced; when n
=
3000 r/min, the journal orbit tends to be the oval and the whirling amplitude also increases. The above figures of journal orbit show that increasing the revolution speed can improve the stability of the bearing-rotor system.Figure 12
The journal orbit in different revolution speed.
(a)
n
=
2000r/min
(b)
n
=
2500r/min
(c)
n
=
3000 r/min


## 4.3.2. The Analysis of Circumferential Pressure Distribution in Different Revolution Speed

From Figure13, we can see that the main influence of revolution speed reflects in pressure vibration periodicity and stability. In n
=
2000r/min and 2500 r/min, the pressure vibration and periodicity both are not stable. While in n
=
3000 r/min, we can see the very stable vibration periodicity which is consistent with the journal orbit, so this indicates that the bearing-rotor system is stable in n
=
300 r/min.Figure 13
Circumferential pressure distribution in different revolution speed.
(a)
n
=
2000r/min
(b)
n
=
2500r/min
(c)
n
=
3000 r/min


## 5. Conclusion

(1) The water-lubricated bearing test device was designed and built based on the prototype of high pressure pump with 4-stage rotors. The journal orbit and circumferential pressure of journal bearing were analyzed. In the basis of dry-rotor, bearing-rotor system experimental investigation was carried out under the startup process and steady revolution speed. The running state of the test device is close to the actual pump operating condition, so the test result can provide some reference for the optimization design of the water-lubricated bearing of desalination high pressure pump.(2) During the startup stage, the journal whirled with little amplitude in low revolution speed, and as the revolution speed increased, the journal began to move irregularly. The hydrodynamic lubrication formed basically when close to the rated revolution speed; there are stable whirling center and amplitude of the journal orbit. The circumferential pressure distribution of journal bearing changed severely and kept consistent with the change of journal orbit; when the revolution speed reached the rated speed, the pressure distribution is stable(3) The journal bearing parameters, such as the aspect ratio and radius clearance, have influence on the stability of the bearing-rotor system. Reducing the radius clearance can improve the system stability; whenc = 0.05 mm, the system tends to be stable in this test. The appropriate aspect ratio can also improve the stability; when L
/
D
=
1, the system tends to be stable in this test. Increasing the revolution speed can improve the system stability; when n
=
3000 r/min, the system tends to be stable in this test.



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*Source: 8361596-2016-04-19.xml*