Numerical Calculation of Three-Dimensional F1ow through A Transonic Compressor Rotor

Title & Authors
Numerical Calculation of Three-Dimensional F1ow through A Transonic Compressor Rotor
Lee, Yong-Gap; Kim, Gwang-Yong;

Abstract
Three-dimensional flow analysis is implemented to investigate the flow through transonic axial-flow compressor rotor(NASA R67) and to evaluate the performances of Abid's low-Reynolds-number k-$\small{\omega}$ and Baldwin-Lomax turbulence models. A finite volume method is used fur spatial discretization. The equations are solved implicitly in time by the use of approximate factorization. The upwind difference scheme is used for inviscid terms and viscous terms are approximated with central difference. The flux-difference-splitting method of Roe is used to obtain fluxes at the cell faces. Numerical analysis is performed near peak efficiency and near stall. The results are compared with the experimental data for NASA R67 rotor. Blade-to-Blade Mach number distributions are compared to confirm the accuracy of the code. From the results, it is concluded that Abid'k-$\small{\omega}$ model is better for the calculation of flow rate and efficiency than Baldwin-Lomax model. But, the predictions for Mach number and shock structure are almost the same.
Keywords
Transonic Compressor;Rotor;Reynolds Stress Turbulence Model;Shock-Boundary Layer Interaction;
Language
Korean
Cited by
References
1.
Hah, C. and Reid, L., 1992, 'A Viscous Flow Study of Shock-Boundary Layer Interaction, Radial Transport, and Wake Development in a Transonic Comprssor,' Journal of Turbo- machinery, Vol. 114, pp. 538-547

2.
Copenhaver, W. W., Hah, C. and Puterbaugh, S. L., 1993, 'Three Dimensional Flow Phenomena in a Transonic, High-Throughflow, Axial-Flow Compressor Stage,' Journal of Turbomachinery, Vol. 115, pp. 240-248

3.
Chima, R. V., 1991, 'Viscous Three-Dimensional Calculation of Transonic Fan Performance,' NASA-TR-103800

4.
Chima, R. V., 1998, 'Calculation of Tip Clearance' Effects in A Transonic Compressor Rotor,' Journal of Turbomachinery, Vol. 120, pp. 131-140

5.
Baldwin, B. S. and Lomax, H., 1978, 'ThinLayer Approximation and Algebraic Model for Separated Turbulent Flows,' AIAA paper 78-257, pp. 78-257

6.
Jennions, I. K. and Turner, M. G., 1993, 'Three-Dimensional Navier-Stokes Computations of Transonic Fan Flow Using an Explicit Flow Solver and an Implicit $k-{\varepsilon}$ Solver,' Journal of Turb9machinery, Vol. 115, pp. 261-272

7.
Turmer, M. G. and Jennions, J. K., 1993, 'An Investigation of Turbulence Modeling in Transonic Fans Including a Novel Implemen- tation of an Implicit $k-{\varepsilon}$ Turbulence Model,' Journal of Turbomachinery, Vol. 115, pp. 249-260

8.
Launder, B. E. and Spalding, D. B., 1974, 'The Numerical Computation of Turbulent Flows,' Computer Methods in Applied Mechanics arid Engineering, Vol. 3, pp. 269-289

9.
Chen, Y., S. and Kim, S. W., 1987, 'Computation of Turbulent Flows Using an Extended $k-{\varepsilon}$ Turbulence Closure Model,' NASACR-179204

10.
Arima, T., Sonoda, T., Shirotori, M., Tamura, A. and Kikuchi, K., 1999, 'A Numerical Investigation of Transonic Axial Compressor Rotor Flow Using a Low-Reynolds-Number $k-{\varepsilon}$ Turbulence Model,' Journal of Turbo- machinery, Vol. 121, pp. 44-58

11.
Chien, J. Y., 1982, 'Predictions of Channel and Boundary Layer Flows with a Low-Reynolds-Number Two Equation Model of Turbulence,' AIAA Journal, Vol. 20, pp. 33-38

12.
Chima, R. V., 1996, 'Application of the $k-{\varepsilon}$ Turbulence Model to Quasi-Three Dimensional Turbomachinery Flows,' Journal of Propulsion and Power, Vol. 12, No.6, pp. 1176-1179

13.
Wilcox, D. C., 1994, Turbulence Modeling for CFD, DCW Industries, Inc.

14.
Abid, R., 1993, 'Evaluation of Two- Equation Turbulence Models for Predicting Transitional Flows,' International Journal of Engineeting Science, Vol. 31, pp. 831-840

15.
Strazisar, A. J., Wood, J. R., Ha-haway, M. D. and Suder, K. L., 1989, 'Laser Anemometer Measurements, in a Transonic Axial Flow Fan Rotor,' NASA TP-2879

16.
Arnone, A., 1994, 'Viscous Analysis of Three-Dimensional Rotor Flow Using a Multigrid Method,' Journal of Turbomachinery, Vol. 116, pp. 435-445

17.
Weber, K. K. and Delaney, R. A., 1991, 'Viscous Analysis of Three-Dimensional Turbomachinery Flows of Body Conforming Grids Using an Implicit Solver,' ASME Paper No. 91-GT-205