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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  and
E. N. Zhuravleva
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
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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.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 754 , 10 September 2014 , pp. 308 - 331
Copyright
© 2014 Cambridge University Press 

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