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The dynamics of a deformable drop suspended in an unbounded Stokes flow

Published online by Cambridge University Press:  29 March 2006

S. Haber  and
G. Hetsroni
S. Haber
Affiliation:
Faculty of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa, Israel
G. Hetsroni
Affiliation:
Faculty of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa, Israel
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Abstract

The velocity fields in and around a deformed drop suspended in an arbitrary (albeit Stokesian) unbounded flow field are solved. The usefulness of the solution is demonstrated by solving the drag force and lateral migration of a drop suspended in an unbounded Poiseuillian field.

It is demonstrated that, due to the deformation of the drop, there exists a radial component of the settling velocity. The direction of the radial migration depends primarily on the product UHR (the Hadamard-Rybczynski terminal settling velocity) by U0 (the maximum Poiseuillian velocity). A positive product results in a lateral migration away from the location of maximum velocity; the converse also holds.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 49 , Issue 2 , 29 September 1971 , pp. 257 - 277
Copyright
© 1971 Cambridge University Press

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