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On the stability of Poiseuille flow of a Bingham fluid

Published online by Cambridge University Press:  26 April 2006

I. A. Frigaard ,
S. D. Howison  and
I. J. Sobey
I. A. Frigaard
Affiliation:
Industriemathematik, Institut für Mathematik, Johannes Kepler Universität, A-4040, Linz, Austria
S. D. Howison
Affiliation:
Mathematical Institute, University of Oxford, 24–29, St. Giles, Oxford, OX1 3LB, UK
I. J. Sobey
Affiliation:
Oxford University Computing Laboratory, 8–11, Keble Road, Oxford, OX1 3QD, UK
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Abstract

The stability to linearized two-dimensional disturbances of plane Poiseuille flow of a Bingham fluid is considered. Bingham fluids exhibit a yield stress in addition to a plastic viscosity and this description is typically applied to drilling muds. A non-zero yield stress results in an additional parameter, a Bingham number, and it is found that the minimum Reynolds number for linear instability increases almost linearly with increasing Bingham number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 263 , 25 March 1994 , pp. 133 - 150
Copyright
© 1994 Cambridge University Press

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