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Superposition about the 3D vortex solutions of the fluid dynamic equation

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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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Authors and Affiliations

  1. Department of Mechanics and Engineering Science & State Key Laboratory for Turbulence Research, Peking University, 100871, Beijing, P R China

    Huang Yong-nian Professor & Hu Xin

Authors
  1. Huang Yong-nian Professor
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  2. Hu Xin
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Additional information

Paper from HUANG Yong-nian, Member of Editorial Committee, AMM

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

Biography: HUANG Yong-nian (1939-)

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Yong-nian, H., Xin, H. Superposition about the 3D vortex solutions of the fluid dynamic equation. Appl Math Mech 21, 1359–1370 (2000). https://doi.org/10.1007/BF02459214

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  • DOI: https://doi.org/10.1007/BF02459214

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