Unsteady flows with a zero acceleration on the free boundary-Reference-Cited by-同舟云学术

Unsteady flows with a zero acceleration on the free boundary

Published:2014-08-04 Issue: Volume:754 Page:308-331
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Karabut E. A.,Zhuravleva E. N.

Abstract

AbstractA new approach to the construction of exact solutions of unsteady equations for plane flows of an ideal incompressible fluid with a free boundary is proposed. It is demonstrated that the problem is significantly simplified and reduces to solving the Hopf equation if the acceleration on the free surface is equal to zero. Some examples of exact solutions are given.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference18 articles.

1. Formation of singularities on the free surface of an ideal fluid

2. Fractional Fourier approximations for potential gravity waves on deep water

3. Exact solutions of the problem of free-boundary unsteady flows

4. The singularity at the crest of a finite amplitude progressive Stokes wave

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