Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (1): 10-15.

• 论文 • 上一篇    下一篇

QUASI-VARIATIONAL PRINCIPLE FOR THE VORTEX-POTENTIAL FUNCTION OF ROTATIONAL FLOW IN THREE-DIMENSION PIPE

沈远胜1, 刘高联2, 刘永杰1   

  1. 1. School of Material Science and Engineering, Jinan University, Jinan 250022, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • 收稿日期:2002-03-28 修回日期:2003-09-10 出版日期:2004-01-18 发布日期:2004-01-18

QUASI-VARIATIONAL PRINCIPLE FOR THE VORTEX-POTENTIAL FUNCTION OF ROTATIONAL FLOW IN THREE-DIMENSION PIPE

SHEN Yuan-sheng1, LIU Gao-lian2, LIU Yong-jie1   

  1. 1. School of Material Science and Engineering, Jinan University, Jinan 250022, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:2002-03-28 Revised:2003-09-10 Online:2004-01-18 Published:2004-01-18

摘要: 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.

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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