Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-23T11:03:18.171Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  17 February 2009

P. J. Harris ,
H. Al-Awadi  and
W. K. Soh
P. J. Harris
Affiliation:
School of Computing and Mathematical Sciences, University of Brighton, Lewes Road, Brighton, UK; e-mail: [email protected].
H. Al-Awadi
Affiliation:
School of Computing and Mathematical Sciences, University of Brighton, Lewes Road, Brighton, UK; e-mail: [email protected].
W. K. Soh
Affiliation:
Department of Mechanical Engineering, University of Wollongong, Wollongong, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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 infiniterigid boundary there are significant differences in both the radius and Kelvin impulse of the bubble when the heat transfer effects are included.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 3 , January 2004 , pp. 361 - 371
Copyright
Copyright © Australian Mathematical Society 2004

References

[1]Best, J. P. and Blake, J. R., “An estimate of the Kelvin impulse of a transient cavity”, J. Fluid Mech. 261 (1992) 75–93.CrossRefGoogle Scholar
[2]Blake, J. R., “The Kelvin impulse: Applications to cavitation bubble dynamics”, J. Austral. Math. Soc. Ser. B 30 (1988) 197–212.CrossRefGoogle Scholar
[3]Blake, J. R., Taib, B. B. and Doherty, G., “Transient cavities near boundaries. Part I. Rigid boundaries”, J. Fluid. Mech. 170 (1986) 479–497.CrossRefGoogle Scholar
[4]Blake, J. R., Taib, B. B. and Doherty, G., “Transient cavities near boundaries. Part 2. Free surface”, J. Fluid. Mech. 181 (1986) 197–212.CrossRefGoogle Scholar
[5]Harris, P. J., “A simple method for modelling the interaction of a bubble with a rigid structure”, Proc. Inst. Acoustic. 18 (1996) 75–84.Google Scholar
[6]Lighthill, J., An informal introduction to fluid mechanics, IMA Monograph Series (Oxford University Press, 1986).Google Scholar
[7]Prosperetti, A., “The thermal behavior of oscillating gas bubbles”, J. Fluid Mech. 222 (1991) 587–616.CrossRefGoogle Scholar
[8]Soh, W. K., “On the thermodynamic process of a pulsating vapor bubble”, App. Math. Mod. 18 (1994) 685–690.CrossRefGoogle Scholar
[9]Soh, W. K. and Karimi, A. A., “On the calculation of heat transfer in a pulsating bubble”, App. Math. Mod. 20 (1996) 638–645.CrossRefGoogle Scholar
[10]Soh, W. K. and Shen, J., “The effects of heat transfer on a Rayleigh bubble”, in Transport Phenomena in Thermal Science and Process Engineering, Kyoto Research Park, Japan, 11, (1997) 109–114.Google Scholar
[11]White, F. M., Heat and mass transfer (Addison Wesley, Reading, MA, 1988).Google Scholar