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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2002, Volume 43, Issue 2, Pages 22–28 (Mi pmtf2601)  
Hydrodynamics with quadratic pressure. 2. Examples

A. P. Chupakhin

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (1462 kB)
Abstract: Exact solutions of Euler equations that describe the motion of an ideal incompressible fluid with quadratic pressure are studied. The solutions are described by explicit formulas and can be physically interpreted. The dynamics of a spherical fluid volume is studied for specified initial velocity fields. It is shown that under certain initial conditions, the spherical volume can evolve into a torus-shaped body, thereby changing the connectivity of the region occupied by the fluid.
English version:
Journal of Applied Mechanics and Technical Physics, 2002, Volume 43, Issue 2, Pages 190–195
DOI: https://doi.org/10.1023/A:1014785105672
Bibliographic databases:
Document Type: Article
UDC: 532.516+517.95
Language: Russian
Citation: A. P. Chupakhin, “Hydrodynamics with quadratic pressure. 2. Examples”, Prikl. Mekh. Tekh. Fiz., 43:2 (2002), 22–28; J. Appl. Mech. Tech. Phys., 43:2 (2002), 190–195
Citation in format AMSBIB
\Bibitem{Chu02}
\by A.~P.~Chupakhin
\paper Hydrodynamics with quadratic pressure. 2.~Examples
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 2
\pages 22--28
\mathnet{http://mi.mathnet.ru/pmtf2601}
\elib{https://elibrary.ru/item.asp?id=17274641}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 2
\pages 190--195
\crossref{https://doi.org/10.1023/A:1014785105672}
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