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Unsteady flows with a zero acceleration on the free boundary

Published online by Cambridge University Press:  04 August 2014

E. A. Karabut*
Affiliation:
Lavrentyev Institute of Hydrodynamics, Akademika Lavrentyeva Prospekt 15, Novosibirsk, 630090, Russia
E. N. Zhuravleva
Affiliation:
Lavrentyev Institute of Hydrodynamics, Akademika Lavrentyeva Prospekt 15, Novosibirsk, 630090, Russia
*
Email address for correspondence: eakarabut@gmail.com

Abstract

A 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.

Type
Papers
Copyright
© 2014 Cambridge University Press 

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