Variational formulation of 3-D unsteady transonic flow past oscillating rotor bladings: Part I - Potential flow

International Journal of Turbo and Jet Engines

Volumn 14, Issue 2, 1997, Pages 71-77

  Liu, Gao Lian ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031529754     PISSN: 03340082     EISSN: None     Source Type: Journal    
DOI: 10.1515/TJJ.1997.14.2.71     Document Type: Article

References (15)

1. Dowell, E.H. Unsteady aerodynamics and aeroelasticity, Appl. Mech. Review, 41, 299-319 (1988).
2. Liu, G.L. Unsteady transonic flow with shocks around oscillating airfoils and cascades: A variational theory, AIAA Paper 87-1426 (1987).
3. Liu, G.L. Variational formulation of 2-D unsteady transonic aerodynamics of oscillating cascades, Proc. 5th Intl. Symp. on Unsteady Aerodynamics and Aeroelasticity of Turbomachines and Propellers, Intl. Acad. Publishers, Beijing, China, 1989; pp 76-85.
4. Liu, G.L. General VP family for fully 3-D unsteady transonic flow with shocks around oscillating wings, Science in China (Series A), 32, 707-715 (1989).
5. Liu, G.L. Variational theory of fully 3-D unsteady transonic flow around oscillating wings, Proc. 4th China National Aeroelasticity Conf., Suzhou, China, May, 1992, pp 358-361 [in Chinese].
6. Liu, G.L. VP and generalized VP for fully 3-D transonic flow with shocks in a turbo-rotor. Part I - Potential flow, Acta Mechanica, 95, 117-130 (1992).
7. Finlayson, B.A. The Method of Weighted Residuals and VP, Academic Press, New York, 1972.
8. Poling, D.R. and Telionis, D.P. The response of airfoils to periodic disturbance - the unsteady Kutta condition, AIAA Journal, 24, 193-199 (1986).
9. Liu, G.L. A systematic approach to the search and transformation for VP in fluid mechanics with emphasis on inverse and hybrid problems, Proceedings of 1st International Symposium on Aerothermodynamics of Internal Flow, Beijing, China, 1990; pp 128-135.
10. Xu, J.Z. Shock relations in turbomachines, Chinese J. Mech. Engrg., 16, 66-69 (1980) [in Chinese].
11. Liu, G.L. A new FE with self-adapting built-in discontinuity for shock-capturing in transonic/ supersonic flow, Proceedings of 2nd International Symposium on Aerothermodynamics of Internal Flow, Prague, 1993; pp 361-365.
12. Hafez, M., South, J.C. and Murman, E.M. Artificial compressibility methods for numerical solution of transonic full potential equation, AIAA Journal, 17, 838-844 (1979).
13. Liu, G.L. A unified variational formulation of aeroelasticity problem for coupled 'fluid-wing' vibration system in 3-D transonic flow, Proceedings of 2nd International Conference on Fluid Mechanics, Beijing, China, July 1993, Peking University Press, pp 438-444.
14. Liu, G.L. A variational aeroelasticity theory of 'fluid-blade' vibration system in fully 3-D transonic rotor flow, Paper presented in a lecture session at the 19th Intl. Congress of Theoretical and Appl. Mechanics (IUTAM), Kyoto, Japan, August, 1996.
15. Traupel, W. Thermische Turbomaschinen, Bd. I, 3. Aufl., Springer, Berlin, 1977.