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Fingering in Hele-Shaw cells

Published online by Cambridge University Press:  21 April 2006

S. D. Howison
S. D. Howison
Affiliation:
Mathematical Institute, Oxford University, 24–29 St. Giles, Oxford OXl 3LB, UK
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Abstract

A large class of explicit solutions for Hele-Shaw flow with a free surface is presented. The results are valid when surface-tension effects in the plane of the cell are negligible. Most of the solutions given produce fingers, both in channel flow and on a growing air bubble. Possible behaviour of these fingers is described, and a qualitative comparison with published experimental results is made.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 167 , June 1986 , pp. 439 - 453
Copyright
© 1986 Cambridge University Press

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