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Thermocapillary flow near a hemispherical bubble on a heated wall

Published online by Cambridge University Press:  11 April 2006

Y. S. Kao  and
D. B. R. Kenning
Y. S. Kao
Affiliation:
Department of Engineering Science, Oxford University Present address: Department of Mechanical Engineering, University of British Columbia.
D. B. R. Kenning
Affiliation:
Department of Engineering Science, Oxford University
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Abstract

The flow driven by variations in surface tension round a hemispherical gas or vapour bubble on a heated wall has been investigated numerically for steady-state conditions over a wide range of values of dimensionless parameters, and experimentally for one set of conditions. Although six parameters are needed to specify the flow conditions, the magnitude of the liquid flow normal to the heated wall is determined primarily by tihe Marangoni number, Prandtl number and the Biot number based on the effective heat-transfer coefficient at the liquid-gas interface. The interior temperature of the bubble depends in addition on the thermal conductivity ratio of the liquid and the wall material. The flow is very sensitive t o the presence of surface-active contaminants. For water, calculations and experimental observations both indicate that contamination which lowers the static surface tension by only 0.1% may suppress the thermocapillary motion.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 4 , 27 June 1972 , pp. 715 - 735
Copyright
© 1972 Cambridge University Press

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References

Brown, W. T. 1967 Ph.D. thesis, Dept. Mechanical Engineering, M.I.T.
Gaddis, E. S. 1968 Ph.D. thesis, Dept. Mechanical Engineering, University of Manchester.
Gaddis, E. S & Hall, W. B. 1968 Thermodynamics and Fluid Mechanics Convention, I. Mech. E. Proc., 182 (3H), 152.
Jenson, V. G. 1959 Proc. Roy. Soc. A 249, 346.
Kao, Y. S. 1970 D.Phil. thesis, Dept. Engineering Science, Oxford University.
Kenning, D. B. R. 1968 Thermodynamics and Fluid Mechanics Convention, I. Mech. E. Proc. 182 (3H), 320.
Larkin, B. K. 1970 A.I.Ch.E.J. 16, 101.
Mcgrew, J. L., Bamford, F. L. & Rehm, T. R. 1966 Science, 153, 1106.
Schrage, R. W. 1953 A Theoretical Study of Interphase Mass Transfer. Columbia University Press.
Wilcox, S. J. & Rohsenow, W. M. 1969 Engineering Projects Laboratory, M.T.T. Rep. DSR 71475-62.