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About Computations of Hele-Shaw Flow of Non-Newtonian Fluids

Published online by Cambridge University Press:  10 February 2011

L. Kondic ,
P. Fast  and
M. J. Shelley
L. Kondic
Affiliation:
Departments of Mathematics and Physics, Duke University, Durham, NC 27708, kondic@math duke. edu
P. Fast
Affiliation:
Courant Institute, New York University, New York, NY 10012
M. J. Shelley
Affiliation:
Courant Institute, New York University, New York, NY 10012
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Abstract

The flow of a fluid confined between two solid plates (Hele-Shaw cell) is of considerable interest in a variety of applications. Further interest in two phase flow in this geometry stems from the close analogy between the dynamics of fluid-fluid interface and the propagation of the solidification front. While the flow of Newtonian fluids is rather well understood, it is much more complicated to compute flows of non-Newtonian fluids. We find that the dense-branching morphology of Newtonian liquids may be replaced by dendritic fingers with stable tips and sidebranches, and discuss resulting length scales.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 543: Symposium W – Dynamics in Small Confining Systems IV , 1998 , 207
Copyright
Copyright © Materials Research Society 1999

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