Transonic-supersonic decelerating flow cases appearing in modern turbomachines are some of the most complex flow cases in fluid mechanics which also present practical interest. In the present work, a closed and coherent shock loss model is proposed based on the complete viscous flow simulation using some fast and reliable computational tools. The resulting model describes accurately the entropy rise and the total pressure loss in cases of strong shock-shear layer interaction and cancels the need to use low speed correlations modified for compressibility effects and extrapolated to transonic-supersonic flow cases. The accuracy and the reliability of the proposed shock-loss model are verified using detailed experimental data concerning various flow cases which present either flow separation or industrial interest.

1.
Calvert, W. J., 1982, “An Inviscid-Viscous Interaction Treatment to Predict the Blade-to-Blade Performance of Axial Compressors with Leading Edge Normal Shock Waves,” ASME Paper 82-GT-135.
2.
Cetin M., Hirsch Ch., Serovy G. K., and Ucer A. S., 1989, “An Off-Design Loss and Deviation Prediction Study for Transonic Axial Compressors,” ASME Paper 89-GT-324.
3.
Dawes, W. N., 1988, “Development of a 3D Navier-Stokes Solver for Application to All Types of Turbomachinery,” ASME Paper 88-GT-70.
4.
Goutines M., and Naviere H., 1987, “Conceptionest Essais d’un Etage de Tete d’un Compresseur HP Avance,” AGARD-CP-421, Advanced Technology for Aero Gas Turbine Components, Paris.
5.
Hah C., and Wennerstrom A. J., 1990, “Three-Dimensional Flowfields Inside a Transonic Compressor with Swept Blades,” ASME Paper 90-GT-359.
6.
Inger
 
G. R.
,
Mason
 
W. H.
,
1976
, “
Analytical theory of transonic normal shock-boundary layer interaction
,”
AIAA Journal
, Vol.
14
, pp.
1266
1272
.
7.
Kaldellis
 
J.
,
Douvikas
 
D.
,
Falchetti
 
F.
,
Papailiou
 
K.
,
1990
, “
A Secondary Flow Calculation Method for One Stage Axial Transonic Flow Compressors, Including Shock-Secondary Flow Interaction
,”
ASME Journal of Turbomachinery
, Vol.
112
, pp.
652
668
.
8.
Kaldellis J., Katramatos D., and Ktenidis P., 1991, “Effects of the Tip Clearance Flow Field on the Secondary Losses,” ASME Paper 91-GT-58.
9.
Kaldellis
 
J.
,
1993
, “
Parametrical Investigation of the Interaction Between Turbulent Wall Shear Layers and Normal Shock Waves, Including Separation
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
115
, pp.
48
55
.
10.
Kaldellis J., 1994, “Energy Exchange and Loss Prediction in Axial Turbines and Compressors,” presented at the FLOWERS’94 ASME Conference, Conference Proceeding pp. 799–811, Firenze, Italy.
11.
Karadimas G., 1988, “Design of High Performance Fans Using Advanced Aerodynamic Codes,” ASME Paper 88-GT-141.
12.
Katramatos D., and Kaldellis J., 1991, “3-D Loss Prediction Based on Secondary Flow and Blade Shear Layer Interaction,” ASME Paper 91-GT-59.
13.
Koch
 
C.
, and
Smith
 
L. H.
,
1976
, “
Loss Sources and Magnitudes in Axial Flow Compressors
,”
Trans. of ASME, Journal of Engineering for Power
, Vol.
98
, pp.
411
424
.
14.
Schofield
 
W. H.
,
1985
, “
Turbulent-Boundary-Layer Development in an Adverse Pressure Gradient after an Interaction with a Normal Shock Wave
,”
Journal of Fluid Mechanics
, Vol.
154
, pp.
43
62
.
15.
Schreiber H. A., 1986, “Experimental Investigations on Shock Losses of Transonic and Supersonic Compressor Cascades,” AGARD-CP-401, in Transonic and Supersonic Phenomena in Turbomachines, Munich.
16.
Seddon J., 1960, “The Flow Produced by Interaction of a Turbulent Boundary Layer with a Normal Shock Wave of Strength Sufficient to Cause Separation,” RAE TM Aero 667.
17.
Trebinjac I., and Vouillarmet, A., 1990, “Laser Two-Focus Anemometry Investigation of the Flow Field Within a Supersonic Axial Compressor Rotor,” ASME Paper 90-GT-298.
18.
Tweedt T. L., Schreiber H. A., and Starken H., 1988, “Experimental Investigation of the Performance of a Supersonic Compressor Cascade,” ASME Paper 88-GT-306.
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