Liquid vibrations in cylindrical tanks with flexible membranes

The objectives of this paper are in studying the liquid vibrations in rigid circular cylindrical shells with internal flexible membranes or covered by membranes. The liquid in the container is supposed to be an ideal and incompressible one, and the fluid motion is irrotational. In above formulated s...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Neelam Choudhary, Narveen Kumar, Elena Strelnikova, Vasil Gnitko, Denys Kriutchenko, Kyryl Degtyariov
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Liquid vibrations Rigid shell Flexible membrane Fourier–Bessel series Finite and boundary element methods Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/d2309b9b7e28494dac9b1c737320b309
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:d2309b9b7e28494dac9b1c737320b309
record_format	dspace
spelling	oai:doaj.org-article:d2309b9b7e28494dac9b1c737320b3092021-11-18T04:43:51ZLiquid vibrations in cylindrical tanks with flexible membranes1018-364710.1016/j.jksus.2021.101589https://doaj.org/article/d2309b9b7e28494dac9b1c737320b3092021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1018364721002512https://doaj.org/toc/1018-3647The objectives of this paper are in studying the liquid vibrations in rigid circular cylindrical shells with internal flexible membranes or covered by membranes. The liquid in the container is supposed to be an ideal and incompressible one, and the fluid motion is irrotational. In above formulated suppositions the velocity potential is introduced; it satisfies the Laplace equation. The boundary value problem is formulated for the velocity potential. To obtain boundary conditions on the liquid free surface, the membrane deflection is considered, and the equality of normal components of liquid and membrane velocities is satisfied. The incompressible and inviscid liquid is supposed to perform irrotational motion in the fluid domain divided into two sub-domains by internal flexible membrane that is installed at the given height. For solutions of the problems both numerical and analytical methods are in use. The analytical solutions of two boundary value problems are obtained for unknown velocity potential and membrane deflection as the Fourier–Bessel series with coefficients depending on unknown frequency. Satisfying boundary conditions, we obtain the system of homogeneous algebraic equations. The condition of a non-trivial solution of this system gives the non-linear equation for evaluating the frequencies. The coupled membrane and liquid vibrations in cylindrical tanks are studied also by FEM and BEM methods. The comparison of results obtained using analytical approach with ones received with boundary and finite element method is provided. The main results are as follows. As follows from numerical simulations, if the membrane is installed inside the cylinder, then the most important parameter affecting the result, is the height of the membrane installation. If the membrane is installed at a considerable distance from the free surface, then the sloshing frequency practically does not change, and more precisely, it slightly increases. The dependencies of frequencies via the filling level are identified. The novelty of proposed approach consists in possibility to study the influence of elastic baffles and roofs in the liquid-filled tanks.Neelam ChoudharyNarveen KumarElena StrelnikovaVasil GnitkoDenys KriutchenkoKyryl DegtyariovElsevierarticleLiquid vibrationsRigid shellFlexible membraneFourier–Bessel seriesFinite and boundary element methodsScience (General)Q1-390ENJournal of King Saud University: Science, Vol 33, Iss 8, Pp 101589- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Liquid vibrations Rigid shell Flexible membrane Fourier–Bessel series Finite and boundary element methods Science (General) Q1-390
spellingShingle	Liquid vibrations Rigid shell Flexible membrane Fourier–Bessel series Finite and boundary element methods Science (General) Q1-390 Neelam Choudhary Narveen Kumar Elena Strelnikova Vasil Gnitko Denys Kriutchenko Kyryl Degtyariov Liquid vibrations in cylindrical tanks with flexible membranes
description	The objectives of this paper are in studying the liquid vibrations in rigid circular cylindrical shells with internal flexible membranes or covered by membranes. The liquid in the container is supposed to be an ideal and incompressible one, and the fluid motion is irrotational. In above formulated suppositions the velocity potential is introduced; it satisfies the Laplace equation. The boundary value problem is formulated for the velocity potential. To obtain boundary conditions on the liquid free surface, the membrane deflection is considered, and the equality of normal components of liquid and membrane velocities is satisfied. The incompressible and inviscid liquid is supposed to perform irrotational motion in the fluid domain divided into two sub-domains by internal flexible membrane that is installed at the given height. For solutions of the problems both numerical and analytical methods are in use. The analytical solutions of two boundary value problems are obtained for unknown velocity potential and membrane deflection as the Fourier–Bessel series with coefficients depending on unknown frequency. Satisfying boundary conditions, we obtain the system of homogeneous algebraic equations. The condition of a non-trivial solution of this system gives the non-linear equation for evaluating the frequencies. The coupled membrane and liquid vibrations in cylindrical tanks are studied also by FEM and BEM methods. The comparison of results obtained using analytical approach with ones received with boundary and finite element method is provided. The main results are as follows. As follows from numerical simulations, if the membrane is installed inside the cylinder, then the most important parameter affecting the result, is the height of the membrane installation. If the membrane is installed at a considerable distance from the free surface, then the sloshing frequency practically does not change, and more precisely, it slightly increases. The dependencies of frequencies via the filling level are identified. The novelty of proposed approach consists in possibility to study the influence of elastic baffles and roofs in the liquid-filled tanks.
format	article
author	Neelam Choudhary Narveen Kumar Elena Strelnikova Vasil Gnitko Denys Kriutchenko Kyryl Degtyariov
author_facet	Neelam Choudhary Narveen Kumar Elena Strelnikova Vasil Gnitko Denys Kriutchenko Kyryl Degtyariov
author_sort	Neelam Choudhary
title	Liquid vibrations in cylindrical tanks with flexible membranes
title_short	Liquid vibrations in cylindrical tanks with flexible membranes
title_full	Liquid vibrations in cylindrical tanks with flexible membranes
title_fullStr	Liquid vibrations in cylindrical tanks with flexible membranes
title_full_unstemmed	Liquid vibrations in cylindrical tanks with flexible membranes
title_sort	liquid vibrations in cylindrical tanks with flexible membranes
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/d2309b9b7e28494dac9b1c737320b309
work_keys_str_mv	AT neelamchoudhary liquidvibrationsincylindricaltankswithflexiblemembranes AT narveenkumar liquidvibrationsincylindricaltankswithflexiblemembranes AT elenastrelnikova liquidvibrationsincylindricaltankswithflexiblemembranes AT vasilgnitko liquidvibrationsincylindricaltankswithflexiblemembranes AT denyskriutchenko liquidvibrationsincylindricaltankswithflexiblemembranes AT kyryldegtyariov liquidvibrationsincylindricaltankswithflexiblemembranes
_version_	1718425129049915392

Liquid vibrations in cylindrical tanks with flexible membranes

Ejemplares similares