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On the motion of a hydro-mechanical system with a viscous liquid under periodic influences

https://doi.org/10.26907/2541-7746.2025.1.125-139

Abstract

The problem of the motion of a hydro-mechanical system consisting of a viscous liquid and solid bodies, a wall and a plate, bordering it is formulated and solved. The wall undergoes a prescribed translational motion, and its boundary is permeable to the liquid. The hydro-mechanical system is subjected to time-periodic influences. The problem formulation includes the equation of the plate motion, the Navier–Stokes equation, and the conditions at the solid–liquid interfaces. New hydro mechanical effects are revealed.

About the Author

V. L. Sennitskii
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Russian Federation

Vladimir L. Sennitskii, Dr. Sci. (Physics and Mathematics), Senior Researcher, Institute of Hydrodynamics SB RAS; Professor, Department of mechanics and mathematics, Novosibirsk State University

Novosibirsk



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Sennitskii V.L. On the motion of a hydro-mechanical system with a viscous liquid under periodic influences. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2025;167(1):125-139. (In Russ.) https://doi.org/10.26907/2541-7746.2025.1.125-139

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