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TECHNICAL PAPERS

Average Passage Flow Field and Deterministic Stresses in the Tip and Hub Regions of a Multistage Turbomachine

[+] Author and Article Information
Oguz Uzol, Yi-Chih Chow, Joseph Katz, Charles Meneveau

Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218

J. Turbomach 125(4), 714-725 (Dec 01, 2003) (12 pages) doi:10.1115/1.1625692 History: Received December 01, 2002; Revised March 01, 2003; Online December 01, 2003
Copyright © 2003 by ASME
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References

Adamczyk, J. J., 1985, “Model Equation for Simulating Flows in Multistage Turbomachinery,” ASME paper No. 85-GT-226.
Adamczyk, J. J., Mulac, R. A., and Celestina, M. L., 1986, “A Model for Closing the Inviscid Form of the Average-Passage Equation System,” ASME paper No. 86-GT-227.
Adamczyk,  J. J., Celestina,  M. L., Beach,  T. A., and Barnett,  M., 1990, “Simulation Of Three Dimensional Viscous Flow Within A Multistage Turbine,” ASME J. Turbomach., 112, p. 370.
Rhie,  C. M., Gleixner,  A. J., Spear,  D. A., Fischberg,  C. J., and Zacharias,  R. M., 1998, “Development and Application of a Multistage Navier-Stokes Solver. Part I: Multistage Modeling Using Body Forces and Deterministic Stresses,” ASME J. Turbomach., 120, p. 205.
Lejambre,  C. R., Zacharias,  R. M., Biederman,  B. P., Gleixner,  A. J., and Yetka,  C. J., 1998, “Development And Application of a Multistage Navier-Stokes Solver. Part II: Application to a High Pressure Compressor Design,” ASME J. Turbomach., 120, p. 215.
Busby,  J., Sondak,  D., Staubach,  B., and Davis,  R., 2000, “Deterministic Stress Modeling of a Hot Gas Segregation in a Turbine,” J. Turbomach., 122, p. 62.
Van de Wall,  A. G., Kadambi,  J. R., and Adamczyk,  J. J., 2000, “A Transport Model for the Deterministic Stresses Associated with Turbomachinery Blade Row Interactions,” ASME J. Turbomach., 122, pp. 593–603.
Meneveau,  C., Katz,  J., 2002, “A Deterministic Stress Model for Rotor-Stator Interactions in Simulations of Average-Passage Flow,” J. Fluids Eng., 124, pp. 550–554.
He,  L., Chen,  T., Wells,  R. G., Li,  Y. S., and Ning,  W., 2002, “Analysis of Rotor-Rotor and Stator-Stator Interferences in Multi-Stage Turbomachines,” ASME J. Turbomach., 124, pp. 564–571.
Prato,  J., Lakshminarayana,  B., and Suryavamshi,  N., 1997, “Exit Flow Field of an Embedded Stator in a Multi-Stage Compressor,” J. Propul. Power, 13, No. 2, pp. 169–177.
Prato, J., Lakshminarayana B., and Suryavamshi N., 1998, “Steady and Unsteady Three-Dimensional Flow Field Downstream of an Embedded Stator in a Multi-Stage Axial Flow Compressor Part I: Unsteady Velocity Field,” ASME paper No. 98-GT-521.
Suryavamshi, N., Lakshminarayana, B., and Prato, J., 1998, “Steady and Unsteady Three-Dimensional Flow Field Downstream of an Embedded Stator in a Multi-Stage Axial Flow Compressor Part II: Composite Flow Field,” ASME paper No. 98-GT-522.
Suryavamshi, N., Lakshminarayana, B., and Prato, J., 1998, “Steady and Unsteady Three-Dimensional Flow Field Downstream of an Embedded Stator in a Multi-Stage Axial Flow Compressor Part III: Deterministic Stress and Heat Flux Distribution and Average-Passage Equation System,” ASME paper No. 98-GT-523.
Sinha,  M., and Katz,  J., 2000, “Quantitative Visualization of the Flow in a Centrifugal Pump With Diffuser Vanes—I: On Flow Structures and Turbulence,” ASME J. Fluids Eng., 122, pp. 97–107.
Sinha,  M., Katz,  J., and Meneveau,  C., 2000, “Quantitative Visualization of the Flow in a Centrifugal Pump With Diffuser Vanes—II: Addressing Passage-Averaged and Large-Eddy Simulation Modeling Issues in Turbomachinery Flows,” ASME J. Fluids Eng., 122, pp. 108–116.
Uzol, O., Chow, Y. C., Katz J., and Meneveau, C., 2002, “Unobstructed PIV Measurements with in an Axial Turbo-pump Using Liquid and Blades with Matched Refractive Indices,” Experiments in Fluids, 33 , pp. 909–918.
Chow, Y. C., Uzol, O., Katz, J., and Meneveau C., 2002, “An Investigation of Axial Turbomachinery Flows Using PIV in an Optically-Unobstructed Facility,” Proceedings of the 9th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Honolulu, Hawaii, Feb. 10–14.
Uzol,  O., Chow,  Y. C., Katz,  J., and Meneveau,  C., 2002, “Experimental Investigation of Unsteady Flow Field within a Two Stage Axial Turbomachine Using Particle Image Velocimetry,” ASME J. Turbomach., 124, pp. 542–552.
Chow,  Y. C., Uzol,  O., and Katz,  J., 2002, “Flow Non-Uniformities and Turbulent “Hot Spots” Due to Wake-Blade and Wake-Wake Interactions in a Multistage Turbomachine,” ASME J. Turbomach., 124, pp. 553–563.
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Figures

Grahic Jump Location
Test section of the axial turbomachine. The second-stage rotors and stators are made of transparent acrylic.
Grahic Jump Location
Phase-averaged distributions for t/T=0.0 (a) axial velocity (ū); (b) lateral velocity (v̄); (c) absolute velocity magnitude (|V⃗|); (d) relative velocity magnitude (|V⃗|rel); (e) turbulent kinetic energy (k); and (f ) vorticity (ω̄) at three spanwise planes. The plane location is indicated as percentage of the span. Utip=8 m/s is the blade tip velocity at 500 rpm, Ls=203 mm is the stage length and x=0 is the rotor leading edge. Ω=52.36 rad/s (500 rpm).
Grahic Jump Location
Sample phase-averaged vorticity distributions at three spanwise locations at t/T=0.7
Grahic Jump Location
Absolute velocity magnitude distributions along the suction side of the stator blade, 1 percent stator chord lengths away from the surface, for 3 percent, 50 percent, and 90 percent spanwise planes, all at t/T=0.7
Grahic Jump Location
Average-passage (a) velocity magnitude, (b) vorticity, (c) turbulent kinetic energy, (d) deterministic kinetic energy, (e) Reynolds shear stress, and (f) deterministic shear stress contours at 3 percent, 50 percent, and 90 percent spanwise locations in the stator frame of reference. In the vorticity plots, the arrow at 50 percent span and the arrow on the left at 90 percent span indicate upstream stator wake transport directions. The arrow on the right at 90 percent span vorticity plot shows the tip vortex transport direction.
Grahic Jump Location
Deterministic and turbulent shear stresses at x/Ls=0.2 (in the rotor-stator gap) at the 3 percent, 50 percent (top), and 90 percent (bottom) spanwise planes. Solid symbols, Reynolds shear stresses; hollow symbols, deterministic shear stresses. Note the differences in scales.
Grahic Jump Location
Distributions of (a) deterministic and (b) average-passage turbulent kinetic energy along the stator midpassage at the 3 percent, 50 percent, and 90 percent spanwise planes. The levels are normalized by the respective inlet values. The x coordinate starts at the stator leading edge plane (x/Ls=0.38), and the stator trailing edge is located at x/Ls=0.73.
Grahic Jump Location
Distribution of (a) deterministic production (PD, term 1); (b) dissipation due to turbulence (DT, term 2) on the right-hand side of the deterministic kinetic energy transport equation [Eq. (9)] at the 3 percent, 50 percent, and 90 percent spanwise planes.
Grahic Jump Location
Distributions at midspan of the deterministic production (PD, term 1) and divergence of the deterministic pressure-velocity correlations (term 5) along the midpassage of the stator.

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