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The effect of the variation of surface tension with temperature on the motion of bubbles and drops

Published online by Cambridge University Press:  28 March 2006

J. F. Harper ,
D. W. Moore  and
J. R. A. Pearson
J. F. Harper
Affiliation:
Department of Mathematics, University of Bristol
D. W. Moore
Affiliation:
Institute for Space Studies, Goddard Space Flight Center, NASA New York, New York
J. R. A. Pearson
Affiliation:
Department of Chemical Engineering, University of Cambridge
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Abstract

The boundary conditions at the surface of a small bubble rising in a liquid are examined theoretically, and it is shown by order-of-magnitude arguments, which are confirmed by detailed calculation in a special case, that although surfacetension gradients must always exist around the bubble, they are too small to affect the motion appreciably unless surface-active substances are present. This is because gradients of surface tension imply gradients of temperature in a pure liquid, and these turn out to be always small near the bubble if they tend to zero at large distances from it. The same is true for drops of one fluid in another.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 27 , Issue 2 , 2 February 1967 , pp. 361 - 366
Copyright
© 1967 Cambridge University Press

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References

Bond, W. N. 1927 Phil. Mag. (7) 4, 889.
Bond, W. N. & Newton, Miss D. A. 1928 Phil. Mag. (7) 5, 794.
Farley, R. W. & Schechter, R. S. 1963 Canad. J. Chem. Engng 41, 103.
Frumkin, A. N. & Levich, V. G. 1947 Zhur. Fiz. Khim. 21, 1183.
Haberman, W. L. & Morton, R. K. 1953 David Taylor Model Basin Rept. no. 802.
Hodgman, C. D. (ed.) 1960 Handbook of Chemistry and Physics, 42nd ed. Cleveland, Ohio: Chemical Rubber Publ. Co.
Lamb, H. 1932 Hydrodynamics, 6th ed. Cambridge University Press.
Lane, W. R. & Green, H. L. 1956 The mechanics of drops and bubbles. Surveys in Mechanics (eds. G. K. Batchelor and R. M. Davies). Cambridge University Press.
Levich, V. G. 1962 Physicochemical Hydrodynamics. Englewood Cliffs, N.J.: Prentice Hall.
Moore, D. W. 1959 J. Fluid Mech. 6, 113.
Moore, D. W. 1965 J. Fluid Mech. 23, 749.
Young, N. O., Goldstein, J. S. & Block, M. J. 1959 J. Fluid Mech. 6, 350.
Zemansky, M. W. 1957 Heat and Thermodynamics, 4th ed. New York: McGraw-Hill.