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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2021 Volume 24, Number 2, Pages 126–133 (Mi sjim1135)

This article is cited in 4 papers

Predominantly unidirectional flow of a viscous liquid

V. L. Sennitskiiab

a Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia

Abstract: Under consideration is the problem of the flow of a viscous liquid in the presence of solid bodies (namely, the two walls and a plate whose boundary is permeable for the liquid) under some influences periodical in time. The formulation of the problem includes the equation of Navier–Stokes, the equation of continuity, and the conditions at the solid boundaries of the liquid. The new hydro-mechanical effect is revealed which consists in the following: in the absence of a predominant direction in space, the free parts of the hydro-mechanical system (i.e., the liquid layers) perform the unidirectional steady motion at a background of oscillations.

Keywords: viscous liquid, oscillations, permeable boundary, absence of a predominant direction, steady motion. .

UDC: 532.516

Received: 25.11.2019
Revised: 12.01.2021
Accepted: 15.04.2021

DOI: 10.33048/SIBJIM.2021.24.210


 English version:
Journal of Applied and Industrial Mathematics, 2021, 15:2, 326–330

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© Steklov Math. Inst. of RAS, 2026