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Note on the time-dependent deformation of a viscous drop which is almost spherical

Published online by Cambridge University Press:  19 April 2006

J. M. Rallison
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

The theory of the shear-induced small deformation of viscous drops at zero Reynolds number is reviewed. The general result for arbitrary shear and surface tension is presented, and the asymptotic forms for weak flow and for high internal viscosity are derived from it. In the latter case, numerical solutions are compared with the experiments of Torza, Cox & Mason (1972).

Type
Research Article
Copyright
© 1980 Cambridge University Press

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References

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