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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Format: | Article |
Language: | English |
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Kazan Federal University
2024-04-01
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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 2500-2198 |
language | English |
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 |