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TECHNICAL PAPERS

Numerical Solution of Incompressible Unsteady Flows in Turbomachinery

[+] Author and Article Information
L. He, K. Sato

School of Engineering, University of Durham, South Road, Durham, DH1 3LE, United Kingdom

J. Fluids Eng 123(3), 680-685 (Apr 05, 2000) (6 pages) doi:10.1115/1.1383595 History: Received March 23, 1999; Accepted April 05, 2000
Copyright © 2001 by ASME
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References

Eckardt,  D., 1976, “Detailed Flow Investigations Within a High-Speed Centrifugal Compressor Impeller,” ASME J. Fluids Eng., 88, pp. 390–402.
Krain,  H., 1988, “Swirling Impeller Flow,” ASME J. Turbomach., 110, pp. 122–128.
Yamane, T., and Nagashima, T., 1997, “High Speed Centrifugal Impeller and Diffuser Interaction near Stall Conditions,” Proceedings of the 8th International Symposium, Stockholm, Sweden.
Filipenco, V. G., Deniz, S., Johnston, J. M., Greitzer, E. M., and Cumpsty, N. A., 1998, “Effects of Inlet Flow Field Conditions on the Performance of Centrifugal Compressor Diffusers Part 1: Discrete-Passage Diffuser,” ASME Paper No. 98-GT-473.
Inoue,  M., Cumpsty,  N. A., 1984, “Experimental Study of Centrifugal Impeller Discharge Flow in Vaneless and Vaned Diffusers,” ASME J. Eng. Gas Turbines Power, 106, pp. 455–467.
Ubaldi,  M., Zunino,  P., Barigozzi,  G., and Cattanei,  A., 1996, “An experimental Investigation of Stator Induced Unsteadiness on Centrifugal Impeller Outflow,” ASME J. Turbomach., 118, pp. 41–54.
Arndt,  N., Acosta,  A. J., Brennen,  C. E., and Caughey,  T. K., 1990, “Experimental Investigation of Rotor-Stator Interaction in a Centrifugal Pump with Several Vaned Diffusers,” ASME J. Turbomach., 112, pp. 98–108.
Akin,  O., and Rockwell,  D., 1994, “Actively Controlled Radial Flow Pumping System: Manipulation of Spectral Content of Wakes and Wake-Blade Interactions,” ASME J. Fluids Eng., 116, pp. 528–537.
Chorin,  A. J., 1967, “A Numerical Method for Solving Incompressible Viscous Flow Problems,” J. of Computational Physics, 2, pp. 12–26.
Rizzi,  A., and Eriksson,  L. F., 1985, “`Computation of Inviscid Incompressible Flow with Rotation,” J. Fluid Mech., 153, pp. 275–312.
Farmer,  J., Martinelli,  L., and Jameson,  A., 1994, “Fast Multigrid Method for Solving Incompressible Hydrodynamic Problems with Free Surfaces,” AIAA J., 32, 1175–1182.
Walker,  P. J., and Dawes,  W. N., 1990, “The extension and Application of Three-Dimensional Time-Marching Analyses to Incompressible Turbomachienry Flows,” ASME J. Turbomach., 112, pp. 385–390.
Jameson, A., 1991, “Time Dependent Calculations Using Multigrid, with Applications to Unsteady Flows Past Airfoils and Wings,” AIAA Paper No. 91-1596.
Belov, A., Martinelli, L., and Jameson, A., 1994, “A Novel Fully Implicit Multigrid Driven Algorithm for Unsteady Incompressible Flow Calculations,” Proceedings, Second European CFD Conference ECCOMAS 94.
He,  L., and Denton,  J. D., 1994, “Three-Dimensional Time-Marching Inviscid and Viscous Solutions for Unsteady Flows around Vibrating Blades,” ASME J. Turbomach., 116, pp. 469–476.
He, L., 1996, “II. Time-Marching Computations of Unsteady Flows, Bladerow Interaction and Flutte” in Unsteady Flows in Turbomachinery, VKI Lecture Series 1996-05, von Karman Inst., Belgium, Mar.
Denton,  J. D., 1992, “The Calculation of Three Dimensional Viscous Flow Through Multistage Trubomachines,” ASME J. Turbomach., 114, pp. 18–26.
He, L., 1996, “TF3D, a Program to Calculate Turbomachinery Flow in 3-Dimensions (User’s Guide, version 1),” University of Durham, UK.
He,  L., 2000, “Three-Dimensional Unsteady Navier-Stokes Analysis of Stator-Rotor Interaction in Axial-Flow Turbines,” IMechE Journal of Power and Energy 214, Part A pp. 13–22.
Sato, K., 1999, “Blade Row Interaction in Radial Turbomachines,” Ph.D. thesis, University of Durham, Oct.
Ackerberg,  R. C., and Phillips,  J. H., 1972, “The Unsteady Laminar Boundary Layer on a Semi-Infinite Flat Plate due to Small Fluctuations in the Magnitude of the Free-Stream Velocity,” J. Fluid Mech., 51, pp. 137–157.

Figures

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Comparison of flow profile inside boundary layer in complex form
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Blade forces history in tangential direction
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Time-averaged Radial velocity profile at mid span of impeller outlet
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Time-averaged relative tangential velocity profile at mid span of impeller outlet
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Instantaneous radial velocity profile at impeller outlet, mid span
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Instantaneous relative tangential velocity profile at impeller outlet, mid span
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Comparison of relative tangential velocities with different mesh densities
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Comparison of relative tangential velocities with different numbers of real time steps/period
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Comparison of stator-generated unsteadiness with different number of real time steps/period
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Blade force histories with relatively smaller number of pseudo-time iterations
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Comparison of relative tangential velocity with different pseudo-time iteration numbers

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