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...

Full description

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
Description
Summary: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.