Multistage centrifugal pumps are highly efficient and compact in structure. Pump efficiency can be improved by an effective understanding of hydraulic behavior and energy loss, however, the traditional hydraulic loss evaluation method does not readily reveal the specific locations of energy loss in the pump. In this study, a guide ring was imposed in multistage pumps, and an entropy production theory was applied to investigate irreversible energy loss of a multistage pump with and without guide ring. Detailed distributions of energy losses in the pumps were calculated to determine the respective entropy production rates (EPRs). The EPR values as calculated are in close accordance with actual hydraulic loss values in the pumps. EPR values were higher in the multistage pump with the guide ring than the pump without a guide ring under part-load flow conditions (0.2Qd). However, the vortex flow in the pump was weakened (or eliminated) by the guide ring as flow rate increased; this reduced energy loss in the chambers. Flow passing the chamber was stabilized by the guide ring, which decreased shock and vortex loss in the chamber and guide vane. Under both designed flow condition and overload conditions, the EPR values of the guide ring-equipped multistage pump were lower than those without the guide ring. Furthermore, minimum efficiency index (MEI) values were also calculated for the two chamber structures; it was found that overall efficiency of pump with guide ring is better than that without.

References

1.
The European Commission
,
2012
, “
Commission Regulation (EU) No 547/2012 of 25 June 2012
,”
Off. J. Eur. Union
,
165
, pp.
28
36
.
2.
Pei
,
J.
,
Wang
,
W.
, and
Yuan
,
S.
,
2016
, “
Multi-Point Optimization on Meridional Shape of a Centrifugal Pump Impeller for Performance Improvement
,”
J. Mech. Sci. Technol.
,
30
(
11
), pp.
4949
4960
.
3.
Sung
,
K.
,
Young-Seok
,
C.
,
Kyoung-Yong
,
L.
, and
Joon-Yong
,
Y.
,
2009
, “
Design Optimization of Centrifugal Pump Impellers in a Fixed Meridional Geometry Using DOE
,”
Int. J. Fluid Mach. Syst.
,
2
(
2
), pp.
172
178
.
4.
Weme
,
D.
,
van der Schoot
,
M.
,
Kruyt
,
N.
, and
van der Zijden
,
E.
,
2018
, “
Prediction of the Effect of Impeller Trimming on the Hydraulic Performance of Low Specific-Speed Centrifugal Pumps
,”
ASME J. Fluids Eng.
,
140
(
8
), p.
081202
.
5.
Mortazavi
,
F.
,
Riasi
,
A.
, and
Nourbakhsh
,
A.
,
2017
, “
Numerical Investigation of Back Vane Design and Its Impact on Pump Performance
,”
ASME J. Fluids Eng.
,
139
(
12
), p.
121104
.
6.
Li
,
X.
,
Gao
,
P.
,
Zhu
,
Z.
, and
Li
,
Y.
,
2018
, “
Effect of the Blade Loading Distribution on Hydrodynamic Performance of a Centrifugal Pump With Cylindrical Blades
,”
J. Mech. Sci. Technol.
,
32
(
3
), pp.
1161
1170
.
7.
Shi
,
W.
,
Zhou
,
L.
,
Lu
,
W.
,
Pei
,
B.
, and
Lang
,
T.
,
2013
, “
Numerical Prediction and Performance Experiment in a Deep-Well Centrifugal Pump With Different Impeller Outlet Width
,”
Chin. J. Mech. Eng.
,
26
(
1
), pp.
46
52
.
8.
Li
,
W.
,
Su
,
F.
, and
Xiao
,
C.
,
2002
, “
Influence of the Number of Impeller Blades on the Performance of Centrifugal Oil Pumps
,”
World Pumps
,
2002
(
427
), pp.
32
35
.
9.
Zhou
,
L.
,
Shi
,
W.
,
Lu
,
W.
,
Hu
,
B.
, and
Wu
,
S.
,
2012
, “
Numerical Investigations and Performance Experiments of a Deep-Well Centrifugal Pump With Different Diffusers
,”
ASME J. Fluids Eng.
,
134
(
7
), p.
071102
.
10.
Kim
,
D.
,
Mamatov
,
S.
,
Jeon
,
S.
, and
Park
,
W.
,
2017
, “
A Study of the Performance of a Radial Diffuser for a Multistage High-Pressure Pump
,”
J. Mech. Sci. Technol.
,
31
(
4
), pp.
1693
1700
.
11.
Lee
,
J.
,
Moshfeghi
,
M.
,
Hur
,
N.
, and
Yoon
,
I.
,
2016
, “
Flow Analysis in a Return Channel of a Multi-Stage Centrifugal Pump
,”
J. Mech. Sci. Technol.
,
30
(
9
), pp.
3993
4000
.
12.
Zhang
,
Q.
,
Xu
,
Y.
,
Cao
,
L.
,
Shi
,
W.
, and
Lu
,
W.
,
2017
, “
A Mixed-Flow Submersible Well Pump: Design Features and an Investigation of Performance
,”
J. Braz. Soc. Mech. Sci. Eng.
,
39
(
7
), pp.
2561
2569
.
13.
Pedersen
,
N.
,
Larsen
,
P.
, and
Jacobsen
,
C.
,
2003
, “
Flow in a Centrifugal Pump Impeller at Design and Off-Design Conditions—Part I: Particle Image Velocimetry (PIV) and Laser Doppler Velocimetry (LDV) Measurements
,”
ASME J. Fluids Eng.
,
125
(
1
), pp.
61
72
.
14.
Krause
,
N.
,
Zähringer
,
K.
, and
Pap
,
E.
,
2005
, “
Time-Resolved Particle Imaging Velocimetry for the Investigation of Rotating Stall in a Radial Pump
,”
Exp. Fluids
,
39
(
2
), pp.
192
201
.
15.
Feng
,
J.
,
Benra
,
F.
, and
Dohmen
,
H.
,
2010
, “
Investigation of Periodically Unsteady Flow in a Radial Pump by CFD Simulations and LDV Measurements
,”
ASME J. Turbomach.
,
133
(
1
), p.
011004
.
16.
Feng
,
J.
,
Benra
,
F.
, and
Dohmen
,
H.
,
2009
, “
Unsteady Flow Visualization at Part-Load Conditions of a Radial Diffuser Pump: By PIV and CFD
,”
J. Visualization
,
12
(
1
), pp.
65
72
.
17.
Feng
,
J.
,
Benra
,
F.
, and
Luo
,
X.
,
2014
, “
Experimental Investigation on Turbulence Fields in a Radial Diffuser Pump Using PIV Technique
,”
Adv. Mech. Eng.
,
2014
(
10
), p. 702318.https://www.researchgate.net/publication/273180190_Experimental_Investigation_on_Turbulence_Fields_in_a_Radial_Diffuser_Pump_Using_PIV_Technique
18.
Stel
,
H.
,
Sirino
,
T.
,
Ponce
,
F.
,
Chiva
,
S.
, and
Morales
,
R.
,
2015
, “
Numerical Investigation of the Flow in a Multistage Electric Submersible Pump
,”
J. Pet. Sci. Eng.
,
136
, pp.
41
54
.
19.
Ofuchi
,
E.
,
Stel
,
H.
,
Sirino
,
T.
,
Vieira
,
T.
,
Ponce
,
F.
,
Chiva
,
S.
, and
Morales
,
R.
,
2017
, “
Numerical Investigation of the Effect of Viscosity in a Multistage Electric Submersible Pump
,”
Eng. Appl. Comput. Fluid Mech.
,
11
(
1
), pp.
258
272
.
20.
Li
,
D.
,
Wang
,
H.
,
Qin
,
Y.
,
Han
,
L.
,
Wei
,
X.
, and
Qin
,
D.
,
2017
, “
Entropy Production Analysis of Hysteresis Characteristic of a Pump-Turbine Model
,”
Energy Convers. Manage.
,
149
, pp.
175
191
.
21.
Hou
,
H.
,
Zhang
,
Y.
,
Li
,
Z.
,
Jiang
,
T.
,
Zhang
,
J.
, and
Xu
,
C.
,
2016
, “
Numerical Analysis of Entropy Production on a LNG Cryogenic Submerged Pump
,”
J. Nat. Gas Sci. Eng.
,
36
(
A
), pp.
87
96
.
22.
Bejan
,
A.
,
1996
, “
Entropy Generation Minimization: The New Thermodynamics of Finite-Size Devices and Finite-Time Processes
,”
J. Appl. Phys.
,
79
(
3
), pp.
1191
1218
.
23.
Kock
,
F.
, and
Herwig
,
H.
,
2004
, “
Local Entropy Production in Turbulent Shear Flows: A High-Reynolds Number Model With Wall Functions
,”
Int. J. Heat Mass Transfer
,
47
(
10–11
), pp.
2205
2215
.
24.
Menter
,
F.
,
1994
, “
Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications
,”
AIAA J.
,
32
(
8
), pp.
1598
1605
.
25.
Celik
,
I.
,
Ghia
,
U.
,
Roache
,
P.
, and
Freitas
,
C.
,
2008
, “
Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications
,”
ASME J. Fluids Eng.
,
130
(
7
), p.
078001
.
26.
Richardson
,
L.
, and
Graunt
,
J.
,
1927
, “
The Deferred Approach to the Limit
,”
Philos. Trans. R. Soc. London, Ser. A
,
226
(
636–646
), pp.
299
361
.
27.
ISO,
2012
, “
Rotodynamic Pumps—Hydraulic Performance Acceptance Tests—Grades 1, 2 and 3
,” International Organization for Standardization, Geneva, Switzerland, Standard No. ISO 9906.
You do not currently have access to this content.