The characteristics of radial pressure distribution inside side chamber and leakage flow through balancing holes of centrifugal pumps are very important for accurately predicting the axial thrust produced by a balancing system. Therefore, a rapid and sufficiently accurate calculation method is required. An integrated model describing the characteristics of radial pressure distribution inside side chamber and leakage flow rate through balancing holes was established. In this model, the correction coefficient of liquid pressure at side chamber entrance and the discharge coefficient of balancing holes were obtained by experiment. The IS 80-50-315 type single-suction, single-stage, and cantilevered centrifugal pump with the structure of double wear-rings and balancing holes was employed as a model to investigate the characteristics of internal liquid flow of the balancing system. Under different pump flow rates, pump performance curves, radial pressure distribution inside side chamber, and leakage flow rate through balancing holes were examined with different balancing hole diameters. Afterward, the experimental data were compared with the predicted results. The comparisons showed a reasonable consistency. Consequently, according to detailed pump dimensions and operating conditions, the integrated model in current form is recommended for centrifugal pumps, which have low specific speed and are with balancing systems of double wear-rings and balancing holes. This can be used for the prediction of radial pressure distribution inside side chamber and leakage flow rate through balancing holes and can be used both at the design stage and nondesign stage.

References

References
1.
Cao
,
W. D.
,
Dai
,
X.
, and
Qi
,
X.
,
2015
, “
Effect of Impeller Reflux Balance Holes on Pressure and Axial Force of Centrifugal Pump
,”
J. Cent. South Univ.
,
22
(
5
), pp.
1695
1706
.
2.
Kalinichenko
,
P.
, and
Suprun
,
A.
,
2012
, “
Effective Modes of Axial Balancing of Centrifugal Pump Rotor
,”
Procedia Eng.
,
39
(
6B
), pp.
111
118
.
3.
Chen
,
S. X.
,
Pan
,
Z. Y.
,
Wu
,
Y. L.
, and
Zhang
,
D. Q.
,
2012
, “
Simulation and Experiment of the Effect of Clearance of Impeller Wear-Rings on the Performance of Centrifugal Pump
,”
IOP Conf. Ser.: Earth Environ. Sci.
,
15
(
7
), p.
072017
.
4.
Mortazavi
,
F.
,
Riasi
,
A.
, and
Nourbakhsh
,
S. A.
,
2017
, “
Numerical Investigation of Back Vane Design and Its Impact on Pump Performance
,”
ASME J. Fluids Eng.
,
139
(
12
), p.
121104
.
5.
Shimura
,
T.
,
2012
, “
Internal Flow and Axial Thrust Balancing of a Rocket Pump
,”
ASME J. Fluids Eng.
,
134
(
4
), pp.
145
152
.
6.
Dong
,
W.
,
Chu
,
W.
,
Li
,
X.
, and
Wu
,
Y.
, “
Numerical Analysis of the Influences of Balance Hole Diameter on the Flow Characteristics of the Back Chamber of Centrifugal Pump
,”
ASME
Paper No. GT2016-56372
.
8.
Li
,
W. G.
,
2013
, “
Model of Flow in the Side Chambers of an Industrial Centrifugal Pump for Delivering Viscous Oil
,”
ASME J. Fluids Eng.
,
135
(
5
), p.
051201
.
9.
Lefor
,
D.
,
Kowalski
,
J.
,
Kutschelis
,
B.
,
Herbers
,
T.
, and
Mailach
,
R.
, 2014, “
Optimization of Axial Thrust Balancing Swirl Breakers in a Centrifugal Pump Using Stochastic Methods
,”
ASME
Paper No. FEDSM2014-21262
.
10.
Liu
,
Z. L.
,
Wang
,
D. W.
,
Hou
,
Y. H.
, and
Ma
,
X. J.
,
2016
, “
Experiment and Calculation of Fluid Pressure in Pump Chamber and Balance Cavity of Centrifugal Pump
,”
Trans. Chin. Soc. Agric. Mach.
,
47
(
8
), pp.
42
47
.
11.
Shi
,
W. D.
,
Gao
,
X. F.
,
Zhang
,
Q. h.
,
Zhang
,
D. S.
, and
Ye
,
D. X.
,
2017
, “
Numerical Investigations on Effect of Wear-Ring Clearance on Performance of a Submersible Well Pump
,”
Adv. Mech. Eng.
,
9
(
7
), pp. 1–8.
12.
Will
,
B. C.
,
Benra
,
F. K.
, and
Dohmen
,
H. J.
,
2012
, “
Investigation of the Flow in the Impeller Side Clearances of a Centrifugal Pump With Volute Casing
,”
J. Therm. Sci.
,
21
(
3
), pp.
197
208
.
13.
Li
,
W. G.
,
Fei
,
Z. T.
, and
Cai
,
Y. X.
,
2004
, “
Influence of Clearance of Impeller Wear-Rings on Performance of Centrifugal Oil Pump
,”
Pump Technol.
,
2004
(5), pp.
7
13
.
14.
Chen
,
Y.
,
Fei
,
Z. T.
,
Cai
,
Y. X.
,
Yang
,
R.
, and
Li
,
W. G.
,
2006
, “
Effect of the Clearance of Wear-Rings on the Performance of Centrifugal Oil Pump While Handling Water
,”
Fluid Mach.
,
34
(
1
), pp.
1
5
.
15.
Li
,
W. G.
,
2012
, “
An Experimental Study on the Effect of Oil Viscosity and Wear-Ring Clearance on the Performance of an Industrial Centrifugal Pump
,”
ASME J. Fluids Eng.
,
134
(
1
), p.
014501
.
16.
Rudnev
,
S. S.
, and
Melashchenko
,
V. I.
,
1970
, “
Effect of the Design of the Forward Impeller Seal on the Performance of a Centrifugal Barrel Type Pump
,”
Chem. Pet. Eng.
,
6
(
12
), pp.
999
1002
.
17.
Jędral
,
W.
,
1991
, “
A Method of Computer Calculation of Axial Thrust and Internal Leakage in Centrifugal Pumps
,”
Bull. Inst. Heat Engine
,
1991
(75), pp.
3
21
.http://www.papers.itc.pw.edu.pl/index.php/JPT/article/view/188
18.
Bruurs
,
K. A. J.
,
Esch
,
B. P. M. V.
,
Schoot
,
M. S. V. D.
, and
Zijden
,
E. J. J. V. D.
, 2017, “
Axial Thrust Prediction for a Multi-Stage Centrifugal Pump
,”
ASME
Paper No. FEDSM2017-69283
.
19.
Hirano
,
T.
,
Guo
,
Z.
, and
Kirk
,
R. G.
,
2005
, “
Application of Computational Fluid Dynamics Analysis for Rotating Machinery—Part II: Labyrinth Seal Analysis
,”
ASME J. Eng. Gas Turbines Power
,
127
(
4
), pp.
820
826
.
20.
Inaguma
,
Y.
, and
Nakamura
,
K.
,
2014
, “
Influence of Leakage Flow Variation on Delivery Pressure Ripple in a Vane Pump
,”
Proc. Inst. Mech. Eng., Part C
,
228
(
2
), pp.
342
357
.
21.
Tam
,
L. T.
,
Przekwas
,
A. J.
,
Muszynska
,
A.
,
Hendricks
,
R. C.
,
Braun
,
M. J.
, and
Mullen
,
R. L.
,
1987
, “
Numerical and Analytical Study of Fluid Dynamic Forces in Seals and Bearings
,”
11th Biennial Design Engineering Conference on Vibration and Noise, Boston
, MA, Sept. 27–30, pp.
112
119
.
22.
Liu
,
Z. L.
,
Sun
,
Y.
,
Wang
,
D. W.
,
Hou
,
Y. H.
, and
Ma
,
X. J.
,
2015
, “
Experiment and Calculation Method of Fluid Leakage in Flow Passage of Pump Chamber on Centrifugal Pump
,”
Trans. Chin. Soc. Agric. Mach.
,
46
(
6
), pp.
97
101
.
23.
Liu
,
Z. L.
,
Wang
,
D. W.
, and
Liang
,
S.
,
2012
, “
Fluid Leakage Characteristic Test on Balance Aperture of Centrifugal Pump Impeller
,”
Trans. Chin. Soc. Agric. Mach.
,
43
(
7
), pp.
85
88
.
24.
Matsumoto
,
K.
,
Kurokawa
,
J.
,
Matsui
,
J.
, and
Imamura
,
H.
,
1999
, “
Performance Improvement and Peculiar Behavior of Disk Friction and Leakage in Very Low Specific-Speed Pumps
,”
Nihon Kikai Gakkai Ronbunshu B Hen/Trans. Jpn. Soc. Mech. Eng. Part B
,
65
(
640
), pp.
4027
4032
.
25.
Liu
,
S. Y.
, and
Yan
,
W. G.
,
1998
, “
Analytical Solution for Laminar Viscous Flow in the Gap Between Two Parallel Rotary Disks
,”
J. Beijing Inst. Technol.
,
1998
(2), pp.
113
119
.
26.
Wen
,
S. P.
,
Hu
,
X. W.
,
Wang
,
J.
,
Ma
,
X. M.
, and
Chu
,
Y.
,
2009
, “
Investigation on Superposed Flow Field in Rotating Disk System With Forced Through Flow
,”
J. Eng. Thermophys.
,
30
(
1
), pp.
57
60
.
27.
Yan
,
J. F.
,
Chen
,
W.
, and
Pu
,
G. R.
,
2007
, “
The Effect of Flow in the Impeller Shroud on the Leakage Rate in a Centrifugal Pump
,”
J. Rocket Propul.
,
33
(
3
), pp.
20
25
.
28.
Daily
,
J. W.
, and
Nece
,
R. E.
,
1960
, “
Chamber Dimension Effects on Induced Flow and Frictional Resistance of Enclosed Rotating Disks
,”
ASME J. Basic Eng.
,
82
(
1
), pp.
217
230
.
29.
Senoo
,
Y.
, and
Hayami
,
H.
, 1976, “
An Analysis on the Flow in a Casing Induced by a Rotating Disk Using a Four-Layer Flow Model
,”
ASME J. Fluids Eng.
,
98
(2), pp. 192–198.
30.
Junhu
,
Y.
,
Chunlong
,
W.
, and
Jinping
,
L.
,
2003
, “
Mathematical Model of Flow Inside a Centrifugal Pump Casing
,”
Trans. Chin. Soc. Agric. Mach.
,
34
(
6
), pp.
68
72
.
31.
Li
,
W.
,
2006
,
Hydraulic Calculation Manual
,
China Water & Power Press
, Beijing, China.
32.
Guan
,
X. F.
,
2011
,
Modern Pumps Theory and Design
,
China Aerospace Science and Technology Knowledge Database
, Beijing, China.
33.
Luo
,
X. Q.
,
2012
,
Fluid Mechanics
,
3rd ed.
,
China Machine Press
, Beijing, China.
34.
Li
,
W. G.
,
1999
, “
Comparison of Several Empirical Formulas for Hydraulic Efficiency
,”
Mech. Electr. Technol.
,
1999
(2), pp.
1
4
.
35.
He
,
X. J.
, and
Lao
,
X. S.
,
2009
, “
Evaluation of Several Formulas for Centrifugal Pump Efficiency Calculation
,”
Pump Technol.
,
2009
(6), pp.
16
19
.
36.
Liu
,
Z. L.
,
He
,
R.
, and
Fan
,
Y.
,
2011
, “
Fluid Leakage Characteristics Test on the Balance Cavity of Floating Impeller
,”
Trans. Chin. Soc. Agric. Mach.
,
42
(
9
), pp.
113
115
.
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