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

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 subject...

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Main Author: V. L. Sennitskii
Format: Article
Language:English
Published: Kazan Federal University 2025-04-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
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Online Access:https://uzakufismat.elpub.ru/jour/article/view/158
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author V. L. Sennitskii
author_facet V. L. Sennitskii
author_sort V. L. Sennitskii
collection DOAJ
description 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.
format Article
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institution Matheson Library
issn 2541-7746
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publishDate 2025-04-01
publisher Kazan Federal University
record_format Article
series Учёные записки Казанского университета: Серия Физико-математические науки
spelling doaj-art-e899a0d0aed34ef08a58df1a8fead8c82025-07-23T15:12:22ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982025-04-01167112513910.26907/2541-7746.2025.1.125-13982On the motion of a hydro-mechanical system with a viscous liquid under periodic influencesV. L. Sennitskii0Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State UniversityThe 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.https://uzakufismat.elpub.ru/jour/article/view/158viscous liquidsolid bodiestime-periodic influencespredominant direction in spacehydro-mechanical effects
spellingShingle V. L. Sennitskii
On the motion of a hydro-mechanical system with a viscous liquid under periodic influences
Учёные записки Казанского университета: Серия Физико-математические науки
viscous liquid
solid bodies
time-periodic influences
predominant direction in space
hydro-mechanical effects
title On the motion of a hydro-mechanical system with a viscous liquid under periodic influences
title_full On the motion of a hydro-mechanical system with a viscous liquid under periodic influences
title_fullStr On the motion of a hydro-mechanical system with a viscous liquid under periodic influences
title_full_unstemmed On the motion of a hydro-mechanical system with a viscous liquid under periodic influences
title_short On the motion of a hydro-mechanical system with a viscous liquid under periodic influences
title_sort on the motion of a hydro mechanical system with a viscous liquid under periodic influences
topic viscous liquid
solid bodies
time-periodic influences
predominant direction in space
hydro-mechanical effects
url https://uzakufismat.elpub.ru/jour/article/view/158
work_keys_str_mv AT vlsennitskii onthemotionofahydromechanicalsystemwithaviscousliquidunderperiodicinfluences