Calculation of three-dimensional transonic flows in turbomachinery with generalized von Mises corrdinate system

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 39, Issue 10, 1996, Pages

  Shen, Mengyu ^a   Liu, Qiusheng ^a   Zhang, Zengchan ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

3 D flows; Stream function coordinates; Transonic flow; Turbomachinery

Indexed keywords

EID: 0000935689     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Shen Mengyu, Gong Zengjin, Zhang Yaoke, A new method for calculating the plane transonic flow past cascade, Journal of Engineering Thermophysics (in Chinese), 1980, 1(3) : 230.
2. Shen Mengyu, Ma Yuanle, A mixed direct-inverse problem of the transonic plane cascade, Acta Mechanica Sinica (in Chinese), 1983, 15(1) : 1.
3. Shen Mengyu, Ma Yuanle, A design method of the transonic plane cascade, Collected Papers on the Highly Loaded Transonic Turbine Cascade (in Chinese), 1984, 19-27.
4. Shen Mengyu, Zhou Sheng, Lin Baozhen, Transonic Flow in Turbomachinery (in Chinese), Beijing: Science Press, 1988.
5. Liu Qiusheng, Shen Mengyu, An efficient method for solving the mixed direct-inverse problem of the transonic plane cascade, Acta Mechanica Sinica (in Chinese), 1988, 20(4) : 289.
6. Liu, Q. S., Shen, M. Y., Ren, Y. X., An efficient method for solving the mixed direct-inverse problem of the transonic rotational flow in plane cascade, Acta Mechanica Sinica, 1989, 5(4) : 323.
7. Liu Qiusheng, Shen Mengyu, An efficient method for solving transonic flow about plane cascade with a large nosing, Acta Aerodynamica Sinica (in Chinese), 1990, 8(3) : 301.
8. Liu Qiusheng, Shen Mengyu, Lin Hong, An efficient method for calculating the flow passing transonic cascade of arbitrary airfoils on a general surface of revolution, J. of Tsinghua University (in Chinese), 1990, 30(2) : 68.
9. Giese, J. H., Stream functions for three-dimensional flow, J. Math. Phys., 1951, 30:31.
10. Dulikravich, G. S., Stream-function-Coordinate (SFC) Concept in Aerodynamic Shape Design, N91-18041.
11. Jameson, A., Iterative solution of transonic flows over airfoils and wins including flows at Mach 1.0, Comm. on Pure and Applied Mathematics, 1974, 27: 283.
12. Zhang Zengchan, The mixed direct-inverse problem of the three-dimensional transonic flow in turbomachinery, Ph. D. Dissertation of the Department of Engineering Mechanics (in Chinese), Beijing: Tsinghua University, 1993.
13. Hobson, D. E., Shock-free transonic flow in turbomachinery cascade, Ph. D. Thesis, U.K.: Cambridge University, 1974.
14. Wang Zhengming, Computation methods of inverse and several mixed aerodynamic problems for transonic cascade, J. of Engineering Thermophysics (in Chinese), 1986, 7(1) : 14.
15. Cai Ruixian, Jiang Hongde, Sun Chunlin, Some analytical solutions applicable to verify 3-D numerical methods in turbomachines, Journal of Engineering Thermophysics (in Chinese), 1984, 5(4) : 348.