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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2020, Volume 24, Number 2, Pages 319–330
DOI: https://doi.org/10.14498/vsgtu1766 (Mi vsgtu1766) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Mathematical Modeling, Numerical Methods and Software Complexes

Exact solutions to generalized plane Beltrami–Trkal and Ballabh flows

E. Yu. Prosviryakov

Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg, 620049, Russian Federation
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DOI: https://doi.org/10.14498/vsgtu1766
Abstract: Nonstationary plane flows of a viscous incompressible fluid in a potential field of external forces are considered. An elliptic partial differential equation is obtained, with each solution being a vortex flow stream function described by an exact solution to the Navier–Stokes equations. The obtained solutions generalize the Beltrami–Trkal and Ballabh flows. Examples of such new solutions are given. They are intended to verify numerical algorithms and computer programs.
Keywords: exact solutions to the Navier–Stokes equations, Beltrami–Trkal flow, Ballabh flow.
Received: January 7, 2020
Revised: February 27, 2020
Accepted: March 16, 2020
First online: June 16, 2020
Bibliographic databases:
Document Type: Article
UDC: 532.511, 517.958:531.3-324
MSC: 76F02, 76M45, 76F45, 76R05, 76U05
Language: English
Citation: E. Yu. Prosviryakov, “Exact solutions to generalized plane Beltrami–Trkal and Ballabh flows”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:2 (2020), 319–330
Citation in format AMSBIB
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\by E.~Yu.~Prosviryakov
\paper Exact solutions to generalized plane Beltrami–Trkal and~Ballabh flows
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2020
\vol 24
\issue 2
\pages 319--330
\mathnet{http://mi.mathnet.ru/vsgtu1766}
\crossref{https://doi.org/10.14498/vsgtu1766}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000555617100005}
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    • This publication is cited in the following 13 articles:
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