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Flows with free boundaries and hydrodynamic singularities

Published online by Cambridge University Press:  31 January 2024

Evgenii A. Karabut Open the ORCID record for Evgenii A. Karabut [Opens in a new window]  and
Elena N. Zhuravleva Open the ORCID record for Elena N. Zhuravleva [Opens in a new window]
Evgenii A. Karabut*
Affiliation:
Lavrentyev Institute of Hydrodynamics, Siberian Branch, RAS, Novosibirsk, 630090, Russia
Elena N. Zhuravleva
Affiliation:
Lavrentyev Institute of Hydrodynamics, Siberian Branch, RAS, Novosibirsk, 630090, Russia
*
†Email address for correspondence: eakarabut@gmail.com
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Abstract

Plane unsteady potential flows of an ideal incompressible fluid with a free boundary are considered in the absence of external forces and surface tension. Examples of exact solutions in situations where the entire boundary of the domain occupied by the fluid is completely free are constructed. There may be polar singularities of the complex velocity function inside the fluid, which corresponds to the presence of a source or a sink there.

JFM classification

Mathematical Foundations: Topological fluid dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 980 , 10 February 2024 , A23
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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