ANZIAM  J.  45 (2004), 361-371

An investigation into the effects of heat transfer on the motion of a spherical bubble

P. J. Harris   School of Computing and   Mathematical Sciences   University of Brighton   Lewes Road   Brighton   UK     p.j.harris@brighton.ac.uk H. Al-Awadi   School of Computing and   Mathematical Sciences   University of Brighton   Lewes Road   Brighton   UK   and W. K. Soh   Department of Mechanical Engineering   University of Wollongong   Wollongong   Australia

Abstract

This paper investigates the effect of heat transfer on the motion of a spherical bubble in the vicinity of a rigid boundary. The effects of heat transfer between the bubble and the surrounding fluid, and the resulting loss of energy from the bubble, can be incorporated into the simple spherical bubble model with the addition of a single extra ordinary differential equation. The numerical results show that for a bubble close to an infinite rigid boundary there are significant differences in both the radius and Kelvin impulse of the bubble when the heat transfer effects are included.

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