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TECHNICAL PAPERS

Turbomachinery Wakes: Differential Work and Mixing Losses

[+] Author and Article Information
M. G. Rose, N. W. Harvey

Turbine Systems, Rolls-Royce plc, Derby, United Kingdom

J. Turbomach 122(1), 68-77 (Feb 01, 1999) (10 pages) doi:10.1115/1.555429 History: Received February 01, 1999
Copyright © 2000 by ASME
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References

Denton, J. D., and Cumpsty, N. A., 1987, “Loss Mechanisms in Turbomachines,” I. Mech. E C260/87.
Denton,  J. D., 1993, “Loss Mechanisms in Turbomachines,” ASME J. Turbomach., 115, pp. 621–656.
Carscallen,  W. E., Currie,  T. C., Hogg,  S. I., and Gostelow,  J. P., 1999, “Measurement and Computation of Energy Separation in the Vortical Wake Flow of a Turbine Nozzle Cascade,” ASME J. Turbomach., 121, pp. 703–708.
Hartsel, J. E., 1972, “Prediction of Effects of Mass-Transfer Cooling on the Blade-Row Efficiency of Turbine Aerofoils,” AIAA 10th ASM, San Diego, Jan.
Banieghbal, M. R., Curtis, E. M., Denton, J. D., Hodson, H. P., Huntsman, I., Schulte, V., Harvey, N. W., and Steele, A. B., 1995, “Wake Passing in LP Turbine Blades,” AGARD PEP 85th Symp., CP-571.
Schröder, Th., 1991, “Investigations of Blade Row Interaction and Boundary Layer Transition Phenomena in a Multistage Aero Engine Low-Pressure Turbine by Measurements With Hot-Film Probes and Surface Mounted Hot-Film Gauges,” Von Karman Institute for Fluid Dynamics, LS 1991-06.
Walraevens, R. E., and Gallus, H. E., 1995, “Stator–Rotor–Stator Interaction in an Axial Flow Turbine and Its Influence on Loss Mechanisms,” AGARD PEP 85th Symp., CP-571.
Moss, R. W., Ainsworth, R. W., Sheldrake, C. D., and Miller, R., 1997, “The Unsteady Pressure Field Over a Turbine Blade Surface: Visualization and Interpretation of Experimental Data,” ASME Paper No. 97-GT-474.
Hodson,  H. P., and Dawes,  W. N., 1998, “On the Interpretation of Measured Profile Losses in Unsteady Wake-Turbine Blade Interaction Studies,” ASME J. Turbomach., 120, pp. 276–284.
Kerrebrock,  J. L., and Mikolajczak,  A. A., 1970, “Intra Stator Transport of Rotor Wakes and its Effect on Compressor Performance,” ASME J. Eng. Power, 92, pp. 359–368.
Van Zante, D. E., Adamczyk, J. J., Strasizar, A. J., and Okiishi, T. H., 1997, “Wake Recovery Performance Benefit in a High-Speed Axial Compressor,” ASME Paper No. 97-GT-535.
Valkov,  T. V., and Tan,  C. S., 1999, “Effect of Upstream Rotor Vortical Disturbances on the Time-Averaged Performance of Axial Compressor Stators: Part 2—Rotor Tip Vortex/Streamwise Vortex-Stator Blade Interactions,” ASME J. Turbomach., 121, pp. 387–397.
Shapiro, A. H., 1953, The Dynamics and Thermodynamics of Compressible Fluid Flow, Wiley, New York.
Gwilliam, N. J., and Kingston, T. R., 1998, “Advanced Computational Fluid Dynamics in the Design of Military Turbines,” R.T.O. Symposium “Design Principles and Methods for Gas Turbine Engines,” Toulouse, May, Paper No. 32.
Lewis, K. L., 1993, “The Aerodynamics of Shrouded Multistage Turbines,” PhD. Thesis, Cambridge University, Nov.
Denton, J. D., 1997, “UNSTREST Code,” private communication.

Figures

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Simple wake mixing model with acceleration before mixing 2
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Effect of acceleration on mixing loss
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Simple differential work extraction model
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Classical turbomachinery velocity triangles for free stream and wake
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Variation of differential work coefficient μ as wake total temperature and total pressure are varied for an HP turbine example
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Absolute total temperature rotor inlet and exit
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Absolute total pressure rotor inlet and exit
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NGV midheight exit entropy distribution from UNSTREST
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Midheight entropy at rotor exit instantaneous picture from UNSTREST solution
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Lost turbine efficiency due to NGV wake mixing loss predicted from simple model
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Percentage change in entropy rise due to mixing with and without rotor work
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Velocity triangles for compressor case wake and free stream
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Variation of μ as the total pressure of the stator wakes is varied
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Change in the stator wake mixing loss due to differential work extraction for a multistage compressor stage
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One-dimensional compressible wake mixing sum
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Two-dimensional compressible wake mixing sum

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