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A numerical study of the deformation and burst of a viscous drop in general shear flows

Published online by Cambridge University Press:  20 April 2006

J. M. Rallison
J. M. Rallison
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW
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Abstract

The time-dependent deformation and burst of a viscous drop in an arbitrary shear flow at zero Reynolds number is studied. The viscosities of the drop and the suspending fluid are assumed to be equal. A numerical scheme to track the (non-axisymmetric) drop shape in time is presented, and used to investigate the deformation induced by two-dimensional shear and orthogonal rheometer flows. Steady deformations, critical flow rates and burst modes are determined, and compared with asymptotic (small and large) deformation theories, and with experiment.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 109 , August 1981 , pp. 465 - 482
Copyright
© 1981 Cambridge University Press

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