On the motion of a viscous liquid with a free boundary

The problem of the non-stationary flow of a viscous liquid with an external free boundary around a moving solid cylindrical body was formulated and solved. The liquid is subject to periodic impacts with or without the predominant direction in space. To formulate the problem, the Navier—Stokes equati...

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Main Author: V. L. Sennitskii
Format: Article
Language:English
Published: Kazan Federal University 2024-04-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
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Online Access:https://uzakufismat.elpub.ru/jour/article/view/42
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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 non-stationary flow of a viscous liquid with an external free boundary around a moving solid cylindrical body was formulated and solved. The liquid is subject to periodic impacts with or without the predominant direction in space. To formulate the problem, the Navier—Stokes equation, the continuity equation, and the equation of conditions at both the solid and free boundaries of the liquid were used. New hydro-mechanical effects were discovered.
format Article
id doaj-art-0e860fedbfb848a0a3b26102acf8b6d8
institution Kabale University
issn 2541-7746
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publishDate 2024-04-01
publisher Kazan Federal University
record_format Article
series Учёные записки Казанского университета: Серия Физико-математические науки
spelling doaj-art-0e860fedbfb848a0a3b26102acf8b6d82025-02-03T12:00:35ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982024-04-0116619911010.26907/2541-7746.2024.1.99-11037On the motion of a viscous liquid with a free boundaryV. L. Sennitskii0Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of SciencesThe problem of the non-stationary flow of a viscous liquid with an external free boundary around a moving solid cylindrical body was formulated and solved. The liquid is subject to periodic impacts with or without the predominant direction in space. To formulate the problem, the Navier—Stokes equation, the continuity equation, and the equation of conditions at both the solid and free boundaries of the liquid were used. New hydro-mechanical effects were discovered.https://uzakufismat.elpub.ru/jour/article/view/42viscous liquidsolid bodyfree boundaryperiodic impactspredominant direction in spacerotatory motion
spellingShingle V. L. Sennitskii
On the motion of a viscous liquid with a free boundary
Учёные записки Казанского университета: Серия Физико-математические науки
viscous liquid
solid body
free boundary
periodic impacts
predominant direction in space
rotatory motion
title On the motion of a viscous liquid with a free boundary
title_full On the motion of a viscous liquid with a free boundary
title_fullStr On the motion of a viscous liquid with a free boundary
title_full_unstemmed On the motion of a viscous liquid with a free boundary
title_short On the motion of a viscous liquid with a free boundary
title_sort on the motion of a viscous liquid with a free boundary
topic viscous liquid
solid body
free boundary
periodic impacts
predominant direction in space
rotatory motion
url https://uzakufismat.elpub.ru/jour/article/view/42
work_keys_str_mv AT vlsennitskii onthemotionofaviscousliquidwithafreeboundary