Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (1): 17-30.

• 论文 • 上一篇    下一篇

THE STOKES FLOW OF AN ARBITRARY PROLATE AXISYMMETRIC BODY TOWARDS AN INFINITE PLANE WALL

袁凡, 吴望一   

  1. Department of Mechanics Peking University, Beijing
  • 收稿日期:1985-09-14 出版日期:1987-01-18 发布日期:1987-01-18

THE STOKES FLOW OF AN ARBITRARY PROLATE AXISYMMETRIC BODY TOWARDS AN INFINITE PLANE WALL

Yuan Fan, Wu Wang-yi   

  1. Department of Mechanics Peking University, Beijing
  • Received:1985-09-14 Online:1987-01-18 Published:1987-01-18

摘要: By distributing continuously the image Sampsonlets with respect to the plane and. by applying the constant density, the linear and the parabolic approximation, the analytic expressions in closed form for flow field are obtained. The drag factor of the prolate spheroid and the Cassini oval are calculated for different slender ratios and different distances between the body and the plane. It is demonstrated that the proposed method is satisfactory both in convergence and accuracy. Comparison with existing results in the case of prolate spheroid shows that the coincidence is quite good.

关键词: thin plate, meshless local Petrov-Galerkin method, moving least square approximation, symmetric weak form of equivalent integration for differential equation

Abstract: By distributing continuously the image Sampsonlets with respect to the plane and. by applying the constant density, the linear and the parabolic approximation, the analytic expressions in closed form for flow field are obtained. The drag factor of the prolate spheroid and the Cassini oval are calculated for different slender ratios and different distances between the body and the plane. It is demonstrated that the proposed method is satisfactory both in convergence and accuracy. Comparison with existing results in the case of prolate spheroid shows that the coincidence is quite good.

Key words: thin plate, meshless local Petrov-Galerkin method, moving least square approximation, symmetric weak form of equivalent integration for differential equation

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