A combined approach of inverse method and direct flow analysis is presented for the hydrodynamic design of gas-liquid two-phase flow rotodynamic pump impeller. The geometry of impeller blades is designed for a specified velocity torque distribution by treating the two-phase mixture as a homogeneous fluid under the design condition. The three-dimensional flow in the designed impeller is verified by direct turbulent flow analysis, and the design specification is further modified to optimize the flow distribution. A helical axial pump of high specific speed has been developed. To obtain a favorable pressure distribution the impeller blade was back-loaded at the hub side compared to the tip side. Experimental results demonstrate that the designed pump works in a wide flow rate range until the gas volume fraction increases to over 50% and its optimum hydraulic efficiency reaches to 44.0% when the gas volume fraction of two-phase flow is about 15.6%. The validity of design computation has been proved.

1.
Porto
,
D.
, and
Larson
,
L. A.
, 1996, “
Multiphase Pump Field Trials Demonstrate Practical Application for the Technology
,”
Proc. Society of Petroleum Engineers (SPE) Annual Technical Meeting
, Houston, Oct. 6–9, Paper No. 36590.
2.
He
,
L.
, and
Sato
,
K.
, 2001, “
Numerical Solution of Incompressible Unsteady Flows in Turbomachinery
,”
ASME J. Fluids Eng.
0098-2202,
123
(
3
), pp.
680
685
.
3.
Muggli
,
F.-A.
, and
Holbein
,
P.
, 2002, “
CFD Calculation of a Mixed Flow Pump Characteristic From Shutoff to Maximum Flow
,”
ASME J. Fluids Eng.
0098-2202,
124
(
3
), pp.
798
802
.
4.
Lane
,
G. L.
,
Schwarza
,
M. P.
, and
Evansb
,
G. M.
, 2002, “
Predicting Gas-Liquid Flow in a Mechanically Stirred Tank
,”
Appl. Math. Model.
0307-904X,
26
(
2
), pp.
223
235
.
5.
Gregor
,
C.
,
Stojan
,
P.
, and
Iztok
,
T.
, 2000, “
Upgrade of the VOF Method for the Simulation of the Dispersed Flow
,”
Proc. ASME FEDSM’00, FED-251
,
ASME
, New York, ASME Paper No. FEDSM2000-11253.
6.
Zhao
,
X. L.
,
Sun
,
C. L.
, and
Wu
,
C. H.
, 1984, “
A Simple Method for Solving Three-dimensional Inverse Problems of Turbomachine Flow and Annular Constraint Condition
,” ASME Paper No. 84-GT-198.
7.
Wu
,
C. H.
, 1952, “
A General Theory of Three-Dimensional Flow in Subsonic Turbomachines of Radial-, Axial-, and Mixed Flow Types
,” NACA TN-D 2604.
8.
Jenkins
,
R. M.
, and
Moore
,
D. A.
, 1993, “
An Inverse Calculation Technique for Quasi-Three-Dimensional Turbomachinery Cascades
,”
Appl. Math. Comput.
0096-3003,
57
(
2
), pp.
197
204
.
9.
Peng
,
G.
,
Fujikwa
,
S.
, and
Cao
,
S.
, 1998, “
An Advanced Quasi-Three-Dimensional Inverse Computation Model for Axial Flow Pump Impeller Design
,”
Proc. XIX IAHR Symposium- Hydraulic Machinery and Cavitation
,
H.
Brekke
et al.
, eds.,
World Scientific
, Singapore, pp.
722
733
.
10.
Tan
,
C. S.
,
Hawthorne
,
W. R.
,
McCune
,
J. E.
, and
Wang
,
C.
, 1984, “
Theory of Blade Design for Large Deflection: Part II- Annular Cascades
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
106
(
2
), pp.
354
365
.
11.
Peng
,
G.
,
Cao
,
S.
,
Ishizuka
,
M.
, and
Hayama
,
S.
, 2001, “
Fully Three-Dimensional Inverse Computation of Hydraulic Impeller Using Finite Element Method
,”
Comput. Fluid Dyn. J.
0918-6654,
10
(
2
), pp.
247
254
.
12.
Goto
,
A.
,
Nohmi
,
M.
,
Sakurai
,
T.
, and
Sogawa
,
Y.
, 2002, “
Hydrodynamic Design System of for Pumps Based on 3-D CAD, CFD, and Inverse Design Method
,”
ASME J. Fluids Eng.
0098-2202,
124
(
2
), pp.
329
335
.
13.
Beattie
,
D. R. H.
, and
Whally
,
P. B.
, 1982, “
A Simple Two-Phase Frictional Pressure Drop Calculation Method
,”
Int. J. Multiphase Flow
0301-9322,
8
(
2
), pp.
83
87
.
14.
Peng
,
G.
,
Cao
,
S.
,
Ishizuka
,
M.
, and
Hayama
,
S.
, 2002, “
Design Optimization of Axial Flow Hydraulic Turbine Runner Part I: An Improved Q3D Inverse Method
,”
Int. J. Numer. Methods Fluids
0271-2091,
39
(
6
), pp.
517
531
.
15.
Zangeneh
,
M.
, 1991, “
A Compressible Three Dimensional Blade Design Method for Radial and Mixed Flow Turbomachinery Blades
,”
Int. J. Numer. Methods Fluids
0271-2091,
13
(
7
), pp.
599
624
.
16.
Peng
,
G.
,
Cao
,
S.
,
Ishizuka
,
M.
, and
Hayama
,
S.
, 2002, “
Design Optimization of Axial Flow Hydraulic Turbine Runner Part II: Multi-object Constrained Optimization Method
,”
Int. J. Numer. Methods Fluids
0271-2091,
39
(
6
), pp.
533
548
.
17.
Ferziger
,
J. H.
, and
Milovan
,
P.
, 1999,
Computational Methods for Fluid Dynamics
, 2nd Edition,
Springer
, New York, pp.
277
286
.
18.
Cao
,
S.
, et al.
, 1999, “
Three-Dimensional Turbulent Flow in a Centrifugal Pump Impeller Under Design and Off-Design Operating Conditions
,”
Proc. 3rd ASME∕JSME Joint Fluids Engineering Conference
, FED-
248
, ASME, New York, ASME Paper No. FEDSM99-6872.
19.
Schlichting
,
H.
, 2000,
Boundary-Layer Theory
, 8th. Edition,
Springer-Verlag
, pp.
417
442
.
20.
Furuya
,
O.
, 1985, “
An Analytical Model for Prediction of Two-Phase (Noncondensable) Flow Pump Performance
,”
ASME J. Fluids Eng.
0098-2202,
107
(
1
), pp.
139
147
.
21.
Hellmann
,
D. H.
, 1995, “
Pumps for Multiphase Boosting
,”
Proc. 2nd Int. Conference on Pumps and Fans
, Beijing, Vol.
1
, pp.
43
46
.
22.
Salis
,
J.
,
Cordner
,
M.
, and
Birnov
,
M.
, 1998, “
Multiphase Pumping Comes of Age
,”
World Pumps
,
1998
(
34
), pp.
53
54
.
You do not currently have access to this content.