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Perturbed bifurcation theory for Poiseuille annular flow

Published online by Cambridge University Press:  20 April 2006

Gary S. Strumolo
Gary S. Strumolo
Affiliation:
Schlumberger–Doll Research, Old Quarry Road, Ridgefield, Connecticut 06877
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Abstract

The consequence of imposing an axisymmetric travelling-wave disturbance on the Poiseuille flow between two concentric cylinders is examined. A nonlinear analysis is taken, using perturbed bifurcation and singular perturbation theory, to determine how resonant wall oscillations affect flow stability. Subcritical, stable, finite-amplitude perturbations to the basic Poiseuille flow are found and conjectures on their significance are given.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 130 , May 1983 , pp. 59 - 72
Copyright
© 1983 Cambridge University Press

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