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Finger-interaction mechanisms in stratified Hele-Shaw flow

Published online by Cambridge University Press:  20 April 2006

Grétar Tryggvason  and
Hassan Aref
Grétar Tryggvason
Affiliation:
Division of Engineering, Brown University, Providence, Rhode Island 02912 Present address: Courant Institute of Mathematical Sciences, New York, NY 10012.
Hassan Aref
Affiliation:
Division of Engineering, Brown University, Providence, Rhode Island 02912
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Abstract

Interactions between a few fingers in sharply stratified Hele-Shaw flow are investigated by numerical integration of the initial-value problem. It is shown that fingers evolving from an initial perturbation of an unstable interface consisting of a single wave are rather insensitive to variations of the control parameters governing the flow. Initial perturbations with at least two waves, on the other hand, lead to important finger-interaction and selection mechanisms at finite amplitude. On the basis of the results reported here many features of an earlier numerical study of the ‘statistical-fingering’ regime can be rationalized.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 154 , May 1985 , pp. 287 - 301
Copyright
© 1985 Cambridge University Press

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