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Finite amplitude instability of second-order fluids in plane Poiseuille flow

Published online by Cambridge University Press:  29 March 2006

Larry V. McIntire  and
C. H. Lin
Larry V. McIntire
Affiliation:
Department of Chemical Engineering, Rice University
C. H. Lin
Affiliation:
Department of Chemical Engineering, Rice University
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Abstract

The hydrodynamic stability of plane Poiseuille flow of second—order fluids to finite amplitude disturbances is examined using the method of Stuart, and Watson as extended by Reynolds & Potter. For slightly non-Newtonian fluids subcritical instabilities are predicted. No supercritical equilibrium states are expected if the entire spectrum of disturbance wavelengths is present. Possible implications with respect to the Toms phenomenon are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 52 , Issue 2 , 28 March 1972 , pp. 273 - 285
Copyright
© 1972 Cambridge University Press

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