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

• Articles • Previous Articles     Next Articles

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”

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.

2010 MSC Number: 

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