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Dynamics of gas bubbles in time-variant temperature fields

Published online by Cambridge University Press:  17 September 2010

I. R. WEBB
Affiliation:
Institute of Biomedical Engineering, Department of Engineering Science, University of Oxford, Oxford OX1 3PJ, UK
M. ARORA
Affiliation:
Institute of Biomedical Engineering, Department of Engineering Science, University of Oxford, Oxford OX1 3PJ, UK
R. A. ROY
Affiliation:
Department of Aerospace and Mechanical Engineering, Boston University, Boston, MA 02215, USA
S. J. PAYNE
Affiliation:
Institute of Biomedical Engineering, Department of Engineering Science, University of Oxford, Oxford OX1 3PJ, UK
C.-C. COUSSIOS*
Affiliation:
Institute of Biomedical Engineering, Department of Engineering Science, University of Oxford, Oxford OX1 3PJ, UK
*
Email address for correspondence: constantin.coussios@eng.ox.ac.uk

Abstract

The effect of time-variant temperature on the dynamics of a single gas bubble in a liquid is investigated. With changes in temperature, several physical parameters controlling bubble behaviour change including surface tension, diffusivity, vapour pressure and gas solubility. A single-bubble model is formulated and a numerical simulation implemented to model the radius–time profile of a bubble, across a range of initial bubble sizes and rates of heating, taking into account the aforementioned parameter temperature dependences. The model is validated experimentally in a xanthan gum gel phantom, tracking the evolution of the bubbles using digital photography and an image analysis sizing algorithm. It is shown that the natural tendency for a bubble to dissolve can be reversed by an increase in temperature, but only above a certain radius-dependent threshold rate of heating.

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Type
Papers
Copyright
Copyright © Cambridge University Press 2010

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