Nonlinear behavior of micro bubbles under ultrasound due to heat transfer

Lim, Chansoo; Kim, Jeong Eun; Lee, Jae Young; Kwak, Ho‐Young

doi:10.1007/s12206-009-0702-z

Cited by 5 publications

(2 citation statements)

References 23 publications

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“…Note that such a profile is actually based on an assumption of low thermal layer thickness compared to the bubble radius and so is invalid during final stages of the collapse. In the absence of rebounds, it was found to reproduce adequately the experimental results [15]. Both validity bounds are seen as congruent with the current framework.…”

Section: Energy Equation For the Liquid Regionsupporting

confidence: 78%

A numerical study of cavitation and bubble dynamics in liquid CO2 near the critical point

Pham

Alpy

Mensah

et al. 2016

International Journal of Heat and Mass Transfer

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Section: Energy Equation For the Liquid Regionsupporting

confidence: 78%

A numerical study of cavitation and bubble dynamics in liquid CO2 near the critical point

Pham

Alpy

Mensah

et al. 2016

International Journal of Heat and Mass Transfer

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“…The solutions that satisfy Equations ( 6) and ( 7) for the gas density, velocity and pressure, respectively, are given by Kawak and Yang (1995) and implemented by many others such as Lim et al (2009) and Mohmood et al (2014), these are as follows.…”

Section: Mathematical Formulationmentioning

confidence: 99%

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

Alhelfi

Sundén

2016

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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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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A Condition Monitoring for Collapsing Bubble Mechanism for Sonoluminescence and Sonochemistry

Alhelfi

Sundén

2015

Journal of Thermal Science and Engineering Applications

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The acoustic cavitation phenomenon is a source of energy for a wide range of applications such as sonoluminescence and sonochemistry. The behavior of a single bubble in liquids is an essential study for acoustic cavitation. The bubbles react with the pressure forces in liquids and reveal their full potential when periodically driven by acoustic waves. As a result of extreme compression of the bubble oscillation in an acoustic field, the bubble produces a very high pressure and temperature during collapse. The temperature may increase many thousands of Kelvin, and the pressure may approach up to hundreds of bar. Subsequently, short flashes can be emitted (sonoluminescence) and the high local temperatures and pressures induce chemical reactions under extreme conditions (sonochemistry). Different models have been presented to describe the bubble dynamics in acoustic cavitation. These studies are done through full numerical simulation of the compressible Navier–Stokes equations. This task is very complex and consumes much computation time. Several features of the cavitation fields remain unexplained. In the current model, all hydrodynamics forces acting on the bubble are considered in the typical solution. Bubble oscillation and its characteristics under the action of a sound wave are presented in order to improve and give a more comprehensive understanding of the phenomenon, which is considered to have a significant role in different areas of science and technology.

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Nonlinear behavior of micro bubbles under ultrasound due to heat transfer

Cited by 5 publications

References 23 publications

A numerical study of cavitation and bubble dynamics in liquid CO2 near the critical point

A numerical study of cavitation and bubble dynamics in liquid CO2 near the critical point

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

A Condition Monitoring for Collapsing Bubble Mechanism for Sonoluminescence and Sonochemistry

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