Impact-induced cavitation in a cylindrical container with liquid
The dynamics of liquid in a cylindrical container and the pulse action on its bottom under impact on its upper end was considered. The case with cavitation in the liquid column near the bottom was investigated. The study was performed in the conditions of the known experiments on the bottle breaking...
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Format: | Article |
Language: | English |
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Kazan Federal University
2020-03-01
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Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
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Online Access: | https://kpfu.ru/uz-eng-phm-2020-1-2.html |
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author | A.A. Aganin M.A. Ilgamov I.N. Mustafin |
author_facet | A.A. Aganin M.A. Ilgamov I.N. Mustafin |
author_sort | A.A. Aganin |
collection | DOAJ |
description | The dynamics of liquid in a cylindrical container and the pulse action on its bottom under impact on its upper end was considered. The case with cavitation in the liquid column near the bottom was investigated. The study was performed in the conditions of the known experiments on the bottle breaking resulting from impacting on its upper end. One-dimensional models of hydrodynamics, linear acoustics, and incompressible liquid were applied. The hydrodynamic equations were solved by the Godunov method. Variation of the bottom acceleration was described by a piecewise-constant function, the cavitation was simulated by a single cavity in the form of a cylindrical layer near the bottom. It was shown that in the experiments the bottle breaks because of the water hammer pressure resulting from the cavity collapse. The influence of the waves in the liquid column on the bottom load is insignificant. With decreasing the pressure on the external liquid surface from the atmospheric value, the action on the bottom decreases. There is an optimal height to attain large pressures on the bottom. |
first_indexed | 2024-04-11T01:31:39Z |
format | Article |
id | doaj.art-915012b7676b4fe5be22468d3bdec749 |
institution | Directory Open Access Journal |
issn | 2541-7746 2500-2198 |
language | English |
last_indexed | 2024-04-11T01:31:39Z |
publishDate | 2020-03-01 |
publisher | Kazan Federal University |
record_format | Article |
series | Учёные записки Казанского университета. Серия Физико-математические науки |
spelling | doaj.art-915012b7676b4fe5be22468d3bdec7492023-01-03T09:36:47ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982020-03-011621273710.26907/2541-7746.2020.1.27-37Impact-induced cavitation in a cylindrical container with liquidA.A. Aganin0M.A. Ilgamov1I.N. Mustafin2Institute of Mechanics and Engineering, FRC Kazan Scientific Center, Russian Academy of Sciences, Kazan, 420111 RussiaInstitute of Mechanics and Engineering, FRC Kazan Scientific Center, Russian Academy of Sciences, Kazan, 420111 RussiaInstitute of Mechanics and Engineering, FRC Kazan Scientific Center, Russian Academy of Sciences, Kazan, 420111 RussiaThe dynamics of liquid in a cylindrical container and the pulse action on its bottom under impact on its upper end was considered. The case with cavitation in the liquid column near the bottom was investigated. The study was performed in the conditions of the known experiments on the bottle breaking resulting from impacting on its upper end. One-dimensional models of hydrodynamics, linear acoustics, and incompressible liquid were applied. The hydrodynamic equations were solved by the Godunov method. Variation of the bottom acceleration was described by a piecewise-constant function, the cavitation was simulated by a single cavity in the form of a cylindrical layer near the bottom. It was shown that in the experiments the bottle breaks because of the water hammer pressure resulting from the cavity collapse. The influence of the waves in the liquid column on the bottom load is insignificant. With decreasing the pressure on the external liquid surface from the atmospheric value, the action on the bottom decreases. There is an optimal height to attain large pressures on the bottom.https://kpfu.ru/uz-eng-phm-2020-1-2.htmlcylindrical containerimpact on bottomcavitationcavitycavity collapsegas dynamics equationsgodunov method |
spellingShingle | A.A. Aganin M.A. Ilgamov I.N. Mustafin Impact-induced cavitation in a cylindrical container with liquid Учёные записки Казанского университета. Серия Физико-математические науки cylindrical container impact on bottom cavitation cavity cavity collapse gas dynamics equations godunov method |
title | Impact-induced cavitation in a cylindrical container with liquid |
title_full | Impact-induced cavitation in a cylindrical container with liquid |
title_fullStr | Impact-induced cavitation in a cylindrical container with liquid |
title_full_unstemmed | Impact-induced cavitation in a cylindrical container with liquid |
title_short | Impact-induced cavitation in a cylindrical container with liquid |
title_sort | impact induced cavitation in a cylindrical container with liquid |
topic | cylindrical container impact on bottom cavitation cavity cavity collapse gas dynamics equations godunov method |
url | https://kpfu.ru/uz-eng-phm-2020-1-2.html |
work_keys_str_mv | AT aaaganin impactinducedcavitationinacylindricalcontainerwithliquid AT mailgamov impactinducedcavitationinacylindricalcontainerwithliquid AT inmustafin impactinducedcavitationinacylindricalcontainerwithliquid |