Abstract

The finite-element analysis of the combined primary and leakage flow streams in a centrifugal pump is presented. To date, this computational model provides the most accurate “zeroth-order” flow field for rotordynamic calculations, short of analyzing the entire flow field on a fully three-dimensional basis. In formulating the problem, the shaft work is modeled via the angular momentum it imparts to the primary flow stream across the impeller blade region. In casting the boundary conditions, special attention is paid to the multi-connectivity of the newly-contoured computational domain in such a way to avoid over-specification of the problem. The analysis is applied to a typical pump stage with a face seal being part of the leakage passage. The numerical results are then compared to the outcome of the existing lower-order analysis where the impeller subdomain was totally extracted.

Issue Section:
Research Papers
Topics:
Leakage flows, Pumps, Flow (Dynamics), Impellers, Angular momentum, Blades, Boundary-value problems, Casting, Centrifugal pumps, Computer simulation, Finite element analysis, Leakage, Performance
1.
Baldwin, B. S., and Lomax, H., 1978, “Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows,” AIAA Paper No. 78-257.
2.
Baskharone
E. A.
, and
Hensel
S. J.
,
1989
, “
A New Model for Leakage Prediction in Shrouded-Impeller Turbopumps
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
111
, pp.
111
111
, pp. 118–123.
3.
Baskharone
E. A.
, and
Hensel
S. J.
,
1991
, “
A Finite Element Perturbation Approach to Fluid/Rotor Interaction in Turbomachinery Elements: Part 1 — Theory
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
113
, No.
3
, pp.
362
–
367
.
4.
Baskharone
E. A.
,
Daniel
A. S.
, and
Hensel
S. J.
,
1994
, “
Rotordynamic Effects of the Shroud-to-Housing Leakage Flow in Centrifugal Pumps
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
116
, No.
3
, pp.
558
–
563
.
5.
Benim
A. C.
, and
Zinser
W.
,
1985
, “
Investigation of the Finite Element Analysis of Confined Turbulent Flows Using a κ-ε Model of Turbulence
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
51
, pp.
507
–
523
.
6.
Black
H. F.
,
1969
, “
Effects of Hydraulic Forces in Annular Pressure Seals on the Vibrations of Centrifugal Pump Rotors
,”
Mechanical Engineering Science
, Vol.
11
, pp.
206
–
213
.
7.
Bolleter, U., Leibundgut, E., and Sturchler, R., 1989, “Hydraulic Interaction and Excitation Forces of High Head Pump Impellers,” presented at the Third Joint ASCE/ASME Mechanics Conference, University of California, La Jolla, CA.
8.
Childs, D. W., 1983, “SSME HPFTP Interstage Seals: Analysis and Experiments for Leakage and Reaction Force Coefficients,” NASA Contract NASB-33716, Texas A&M University.
9.
Childs
D. W.
,
1989
, “
Fluid-Structure Interaction Forces at Pump-Impeller-Shroud Surfaces for Rotordynamic Calculations
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliablity in Design
, Vol.
111
, pp.
216
–
225
.
10.
Childs
D. W.
,
1978
, “
The Space Shuttle Main Engine High-Pressure Fuel Turbopump Rotordynamic Instability Problem
,”
ASME Journal of Engineering for Power
, Vol.
100
, pp.
48
–
57
.
11.
Dietzen
F. J.
, and
Nordman
R.
,
1987
, “
Calculating Rotordynamic Coefficients of Seals by Finite Difference Techniques
,”
ASME Journal of Tribology
, Vol.
109
, pp.
388
–
394
.
12.
Heinrich
J. C.
, and
Zienkiewicz
O. C.
,
1977
, “
Quadratic Finite Element Schemes for Two-Dimensional Convective Transport Problems
,”
International Journal of Numerical Methods in Engineering
, Vol.
11
, pp.
1831
–
1844
.
13.
Tam
L. T.
, and
Przekwas
A. J.
,
1988
, “
Numerical and Analytical Study of Fluid Dynamic Forces in Seals and Bearings
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliablity in Design
, Vol.
110
, pp.
315
–
325
.
14.
Xi-Xuan, Jin-Chu, Qin-Gen, and Lan-Sheng, 1988, “Some Field Experiences with Subsynchronous Vibration in Centrifugal Compressors,” Rotordynamic Instability Problems in High Performance Turbomachinery, Mechanical Engineering Department, Texas A&M University.
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