Solution of the Rayleigh-Plesset Equation Through the Finite Element Method
In this work we present numerical solutions of the Rayleigh-Plesset equation which describes the evolution of cavitating bubbles. In order to do that, we consider FEMG (Finite Element Method Galerkin); this simulation is performed for an inviscid and incompressible fluid in an uniform temperature fi...
- Autores:
-
Ramírez R., G.A
Jácome M, C.E
Giraldo A, J.C
- Tipo de recurso:
- Fecha de publicación:
- 2013
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- spa
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/14414
- Acceso en línea:
- http://hdl.handle.net/10784/14414
- Palabra clave:
- Cavitation
Rayleigh-Plesset Equation
Galerkin´S Finite Element Method
Vapor Pressure
Inviscid Fluid
Incompressible Fluid
Cavitación
Ecuación De Rayleigh-Plesset
Método De Elementos Finitos De Galerkin
Presión De Vapor
Fluido Invisible
Fluido Incompresible
- Rights
- License
- Copyright (c) 2013 G.A Ramírez R., C.E Jácome M, J.C Giraldo A
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Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2013-03-222019-11-22T17:02:39Z2013-03-222019-11-22T17:02:39Z2256-43141794-9165http://hdl.handle.net/10784/1441410.17230/ingciecia.9.17.7In this work we present numerical solutions of the Rayleigh-Plesset equation which describes the evolution of cavitating bubbles. In order to do that, we consider FEMG (Finite Element Method Galerkin); this simulation is performed for an inviscid and incompressible fluid in an uniform temperature field with constant surface tension, and the cavitation model into the which the pressure inside bubbles is equal to the fluid vapor pressure. Thus, in this problem is considered the Dirichlet boundary problem, and we obtained criteria for the boundary conditions at the cavitation phenomenon through to the which give rise to the bubble growing.En este trabajo presentamos soluciones numéricas de la ecuación de Rayleigh-Plesset que describe la evolución de las burbujas de cavitación. Para hacer eso, consideramos FEMG (Método de elementos finitos Galerkin); Esta simulación se realiza para un fluido invisible e incompresible en un campo de temperatura uniforme con tensión superficial constante, y el modelo de cavitación en el que la presión dentro de las burbujas es igual a la presión de vapor del fluido. Por lo tanto, en este problema se considera el problema de límite de Dirichlet, y obtuvimos criterios para las condiciones de contorno en el fenómeno de cavitación a través del cual dan lugar al crecimiento de la burbuja.application/pdfspaUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1837http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1837Copyright (c) 2013 G.A Ramírez R., C.E Jácome M, J.C Giraldo AAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 9, No 17 (2013)Solution of the Rayleigh-Plesset Equation Through the Finite Element MethodSolución de la ecuación de Rayleigh-Plesset por medio del método del elemento finitoarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1CavitationRayleigh-Plesset EquationGalerkin´S Finite Element MethodVapor PressureInviscid FluidIncompressible FluidCavitaciónEcuación De Rayleigh-PlessetMétodo De Elementos Finitos De GalerkinPresión De VaporFluido InvisibleFluido IncompresibleRamírez R., G.AJácome M, C.EGiraldo A, J.CUniversidad Distrital Francisco José de CaldasIngeniería y Ciencia917147162ing.cienc.ORIGINALdocument (10).pdfdocument (10).pdfTexto completo PDFapplication/pdf553514https://repository.eafit.edu.co/bitstreams/017ccf63-01be-4868-a4fa-e10b2721c0fb/download34c99624cdc8aed892e83501eab4c80aMD51articulo.htmlarticulo.htmlTexto completo HTMLtext/html374https://repository.eafit.edu.co/bitstreams/c8522833-afcc-46d7-acd3-99cb1289e558/downloadc7bdfd30ac76b48cf6593af5472b126aMD53THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/9836335e-4019-41a8-8fc1-2529dcdf0560/downloadda9b21a5c7e00c7f1127cef8e97035e0MD5210784/14414oai:repository.eafit.edu.co:10784/144142020-03-02 21:10:08.903open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co |
dc.title.eng.fl_str_mv |
Solution of the Rayleigh-Plesset Equation Through the Finite Element Method |
dc.title.spa.fl_str_mv |
Solución de la ecuación de Rayleigh-Plesset por medio del método del elemento finito |
title |
Solution of the Rayleigh-Plesset Equation Through the Finite Element Method |
spellingShingle |
Solution of the Rayleigh-Plesset Equation Through the Finite Element Method Cavitation Rayleigh-Plesset Equation Galerkin´S Finite Element Method Vapor Pressure Inviscid Fluid Incompressible Fluid Cavitación Ecuación De Rayleigh-Plesset Método De Elementos Finitos De Galerkin Presión De Vapor Fluido Invisible Fluido Incompresible |
title_short |
Solution of the Rayleigh-Plesset Equation Through the Finite Element Method |
title_full |
Solution of the Rayleigh-Plesset Equation Through the Finite Element Method |
title_fullStr |
Solution of the Rayleigh-Plesset Equation Through the Finite Element Method |
title_full_unstemmed |
Solution of the Rayleigh-Plesset Equation Through the Finite Element Method |
title_sort |
Solution of the Rayleigh-Plesset Equation Through the Finite Element Method |
dc.creator.fl_str_mv |
Ramírez R., G.A Jácome M, C.E Giraldo A, J.C |
dc.contributor.author.spa.fl_str_mv |
Ramírez R., G.A Jácome M, C.E Giraldo A, J.C |
dc.contributor.affiliation.spa.fl_str_mv |
Universidad Distrital Francisco José de Caldas |
dc.subject.keyword.eng.fl_str_mv |
Cavitation Rayleigh-Plesset Equation Galerkin´S Finite Element Method Vapor Pressure Inviscid Fluid Incompressible Fluid |
topic |
Cavitation Rayleigh-Plesset Equation Galerkin´S Finite Element Method Vapor Pressure Inviscid Fluid Incompressible Fluid Cavitación Ecuación De Rayleigh-Plesset Método De Elementos Finitos De Galerkin Presión De Vapor Fluido Invisible Fluido Incompresible |
dc.subject.keyword.spa.fl_str_mv |
Cavitación Ecuación De Rayleigh-Plesset Método De Elementos Finitos De Galerkin Presión De Vapor Fluido Invisible Fluido Incompresible |
description |
In this work we present numerical solutions of the Rayleigh-Plesset equation which describes the evolution of cavitating bubbles. In order to do that, we consider FEMG (Finite Element Method Galerkin); this simulation is performed for an inviscid and incompressible fluid in an uniform temperature field with constant surface tension, and the cavitation model into the which the pressure inside bubbles is equal to the fluid vapor pressure. Thus, in this problem is considered the Dirichlet boundary problem, and we obtained criteria for the boundary conditions at the cavitation phenomenon through to the which give rise to the bubble growing. |
publishDate |
2013 |
dc.date.issued.none.fl_str_mv |
2013-03-22 |
dc.date.available.none.fl_str_mv |
2019-11-22T17:02:39Z |
dc.date.accessioned.none.fl_str_mv |
2019-11-22T17:02:39Z |
dc.date.none.fl_str_mv |
2013-03-22 |
dc.type.eng.fl_str_mv |
article info:eu-repo/semantics/article publishedVersion info:eu-repo/semantics/publishedVersion |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.local.spa.fl_str_mv |
Artículo |
status_str |
publishedVersion |
dc.identifier.issn.none.fl_str_mv |
2256-4314 1794-9165 |
dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10784/14414 |
dc.identifier.doi.none.fl_str_mv |
10.17230/ingciecia.9.17.7 |
identifier_str_mv |
2256-4314 1794-9165 10.17230/ingciecia.9.17.7 |
url |
http://hdl.handle.net/10784/14414 |
dc.language.iso.spa.fl_str_mv |
spa |
language |
spa |
dc.relation.isversionof.none.fl_str_mv |
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1837 |
dc.relation.uri.none.fl_str_mv |
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1837 |
dc.rights.eng.fl_str_mv |
Copyright (c) 2013 G.A Ramírez R., C.E Jácome M, J.C Giraldo A |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.local.spa.fl_str_mv |
Acceso abierto |
rights_invalid_str_mv |
Copyright (c) 2013 G.A Ramírez R., C.E Jácome M, J.C Giraldo A Acceso abierto http://purl.org/coar/access_right/c_abf2 |
dc.format.none.fl_str_mv |
application/pdf |
dc.coverage.spatial.eng.fl_str_mv |
Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees |
dc.publisher.spa.fl_str_mv |
Universidad EAFIT |
dc.source.none.fl_str_mv |
instname:Universidad EAFIT reponame:Repositorio Institucional Universidad EAFIT |
dc.source.spa.fl_str_mv |
Ingeniería y Ciencia; Vol 9, No 17 (2013) |
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Universidad EAFIT |
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Universidad EAFIT |
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Repositorio Institucional Universidad EAFIT |
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Repositorio Institucional Universidad EAFIT |
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