Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (12): 1359-1370.

• 论文 • 上一篇    下一篇

SUPERPOSITION ABOUT THE 3D VORTEX SOLUTIONS OF THE FLUID DYNAMIC EQUATION

黄永念, 胡欣   

  1. Department of Mechanics and Engineering Science & State Key Laboratory for Turbulence Research, Peking University, Beijing 100871, P. R. China
  • 收稿日期:1999-09-03 修回日期:2000-07-05 出版日期:2000-12-18 发布日期:2000-12-18
  • 基金资助:

    the National Basic Project “Nonlinear Science” and “Frontier Problems in Fluid Mechanics and Aerodynamics”

SUPERPOSITION ABOUT THE 3D VORTEX SOLUTIONS OF THE FLUID DYNAMIC EQUATION

HUANG Yong-nian, HU Xin   

  1. Department of Mechanics and Engineering Science & State Key Laboratory for Turbulence Research, Peking University, Beijing 100871, P. R. China
  • Received:1999-09-03 Revised:2000-07-05 Online:2000-12-18 Published:2000-12-18
  • Supported by:

    the National Basic Project “Nonlinear Science” and “Frontier Problems in Fluid Mechanics and Aerodynamics”

摘要: A class of exact general solutions of an axisymmetric flow of the fluid dynamic equations is given. Then some examples are discussed. Some vortex solutions can be superposed to give other exact solutions. It can be used to analyse the generation and evolution of the vortex ring.

Abstract: A class of exact general solutions of an axisymmetric flow of the fluid dynamic equations is given. Then some examples are discussed. Some vortex solutions can be superposed to give other exact solutions. It can be used to analyse the generation and evolution of the vortex ring.

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