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A new formulation and analysis of a collapsing bubble with different content in a liquid induced during acoustic cavitation

Alhelfi, Ali LU and Sunden, Bengt Ake LU (2016) In International Journal of Numerical Methods for Heat & Fluid Flow 26(6). p.1729-1746
Abstract

Purpose - The purpose of this paper is to present numerical investigation of the gas/vapor bubble dynamics under the influence of an ultrasonic field to give a more comprehensive understanding of the phenomenon and present new results Design/methodology/approach - In order to formulate the mathematical model, a set of governing equations for the gas inside the bubble and the liquid surrounding it are used. All hydrodynamics forces acting on the bubble are considered in the typical solution. The systems of equations required to be solved consist of ordinary and partial differential equations, which are both nonlinear and time dependent equations. A fourth order Runge-Kutta method is applied to solve the ordinary differential equations.... (More)

Purpose - The purpose of this paper is to present numerical investigation of the gas/vapor bubble dynamics under the influence of an ultrasonic field to give a more comprehensive understanding of the phenomenon and present new results Design/methodology/approach - In order to formulate the mathematical model, a set of governing equations for the gas inside the bubble and the liquid surrounding it are used. All hydrodynamics forces acting on the bubble are considered in the typical solution. The systems of equations required to be solved consist of ordinary and partial differential equations, which are both nonlinear and time dependent equations. A fourth order Runge-Kutta method is applied to solve the ordinary differential equations. On the other hand, the finite difference method is employed to solve the partial differential equations and a time-marching technique is applied. Findings - The numerical model which is developed in the current study permits a correct prediction of the bubble behavior and its characteristics in an acoustic field generated at this occasion. Originality/value - Previous studies considering numerical simulations of an acoustic bubble were performed based on the polytropic approximation or pressure uniformity models of the contents inside the bubble. In this study, an enhanced numerical model is developed to study the acoustic cavitation phenomenon and the enhancement concerns taking into account both the pressure and temperature gradients inside the bubble as well as heat transfer through the bubble surface into account which is very important to obtain the temperature of the liquid surrounding the bubble surface.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cavitation, Ultrasound, Acoustic waves, Bubble collapse.
in
International Journal of Numerical Methods for Heat & Fluid Flow
volume
26
issue
6
pages
18 pages
publisher
Emerald Group Publishing Limited
external identifiers
  • scopus:84982805341
  • wos:000382547100006
ISSN
1758-6585
DOI
10.1108/HFF-02-2015-0044
language
English
LU publication?
yes
id
a1812b1e-c460-499c-b03a-e668513bc1a2 (old id 8564063)
date added to LUP
2016-02-01 10:35:18
date last changed
2017-10-22 05:23:32
@article{a1812b1e-c460-499c-b03a-e668513bc1a2,
  abstract     = {<p>Purpose - The purpose of this paper is to present numerical investigation of the gas/vapor bubble dynamics under the influence of an ultrasonic field to give a more comprehensive understanding of the phenomenon and present new results Design/methodology/approach - In order to formulate the mathematical model, a set of governing equations for the gas inside the bubble and the liquid surrounding it are used. All hydrodynamics forces acting on the bubble are considered in the typical solution. The systems of equations required to be solved consist of ordinary and partial differential equations, which are both nonlinear and time dependent equations. A fourth order Runge-Kutta method is applied to solve the ordinary differential equations. On the other hand, the finite difference method is employed to solve the partial differential equations and a time-marching technique is applied. Findings - The numerical model which is developed in the current study permits a correct prediction of the bubble behavior and its characteristics in an acoustic field generated at this occasion. Originality/value - Previous studies considering numerical simulations of an acoustic bubble were performed based on the polytropic approximation or pressure uniformity models of the contents inside the bubble. In this study, an enhanced numerical model is developed to study the acoustic cavitation phenomenon and the enhancement concerns taking into account both the pressure and temperature gradients inside the bubble as well as heat transfer through the bubble surface into account which is very important to obtain the temperature of the liquid surrounding the bubble surface.</p>},
  author       = {Alhelfi, Ali and Sunden, Bengt Ake},
  issn         = {1758-6585},
  keyword      = {Cavitation,Ultrasound,Acoustic waves,Bubble collapse.},
  language     = {eng},
  month        = {08},
  number       = {6},
  pages        = {1729--1746},
  publisher    = {Emerald Group Publishing Limited},
  series       = {International Journal of Numerical Methods for Heat & Fluid Flow},
  title        = {A new formulation and analysis of a collapsing bubble with different content in a liquid induced during acoustic cavitation},
  url          = {http://dx.doi.org/10.1108/HFF-02-2015-0044},
  volume       = {26},
  year         = {2016},
}