Abstract
The variational analysis of the Pseudo-potential function-vortex-potential function model, a new mathematical model, was developed and by which the flow field with transonic speed and curl was decided, and different sorts of the variational principle for vortex potential function were established by transforming the original equation for vortex-function, the boundary conditions for vortex-potential function was raised.
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References
PAN Wen-quan.Fluid Mechanics Basis[M]. Beijing: Mechanics Industry Press, 1983. (in Chinese)
WU Chung-hua. A general theory of three-dimensional flow in subsonic and supersonic turbo machines of axial radial and mixed-flow types[R]. ASME Report No. 50-A-79, 1950;Trans ASME, 1952; NACATN 2604, 1952.
Giese J H. Stream functions for three dimension flows[J].J Math Phys, 1951,30(1):31–35.
WU Wen-quan. Stream function equation groups of impeller machine for three dimension flow[J].Journal of Mechanical Engineering, 1979,15(1):86–99 (in Chinese)
LIU Gao-lian. A term-condensing method of the common function derived in based different equation and generalized potentials for three dimension fluid flow[J].Journal of Shanghai Machinery Institute, 1983,(3):15–24 (in Chinese)
LIU Gao-lian, WANG Jia-sheng.Impeller Mechanical Aerodynamics Basic[M]. Beijing: Mechanical Industry Press, 1980. (in Chinese)
SHEN Yuan-sheng, YU Da-bang, LIU Gao-lian. Pseudo-potential function model and its form in arbitrary curve coordinate for 3-D compressible rotational ideal fluid[A]. In:11th National Congress on Fluid Dynamics the Fourth National Academic Conference Collected Works on Fluid Dynamics [C]. Beijing: Ocean Press, 1997,29–34 (in Chinese)
SHEN Yuan-sheng.Pseudo-Potential Model and Variational Method for Direct/Inverse Problems of 3-D compressible Rotational Flow in a Rotating System[M]. Shanghai: Shanghai University Press, 1999 (in Chinese)
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Contributed by LIU Gao-lian
Biographies: SHEN Yuan-sheng (1964∼), Associate Professor, Doctor LIU Gao-lian (1932∼), Professor, Academician of Chinese Academy of Science (Tel: +86-0531-2767172; Fax: +86-0531-2767172; E-mail: shengysh@sina.com)
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Yuan-sheng, S., Gao-lian, L. & Yong-jie, L. Quasi-variational principle for the vortex-potential function of rotational flow in three-dimension pipe. Appl Math Mech 25, 10–15 (2004). https://doi.org/10.1007/BF02437289
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DOI: https://doi.org/10.1007/BF02437289