This article is cited in 1 paper

Strip deformation problem in three models of hydrodynamics

V. V. Pukhnachov<sup>ab

a</sup> Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian
^b Novosibirsk State University

Abstract: We study the problem of a deformation of a straight strip bounded by an impermeable solid wall and a parallel free boundary. Three models of an incompressible fluid are considered: ideal fluid, classical viscous fluid, and dilute solution of a polymer. The influence of the viscous and relaxation factors on the qualitative pattern of fluid motion is revealed.

Keywords: incompressible fluid, aqueous solution of a polymer, problem with a free boundary, solution breakdown.

Received: 30.12.2021
Revised: 27.01.2022

DOI: 10.4213/tmf10232

 English version: Theoretical and Mathematical Physics, 2022, 211:2, 701–711

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