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Stability of Hagen-Poiseuille flow with superimposed rigid rotation

Published online by Cambridge University Press:  29 March 2006

P.-A. Mackrodt
P.-A. Mackrodt
Affiliation:
Institut für Strömungsmechanik der Deutschen Forschungs- und Versuchsanstalt für Luft- und Raumfahrt E.V., Aerodynamische Versuchsanstalt, Göttingen, Germany
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Abstract

The linear stability of Hagen-Poiseuille flow (Poiseuille pipe flow) with superimposed rigid rotation against small three-dimensional disturbances is examined at finite and infinite axial Reynolds numbers. The neutral curve, which is obtained by numerical solution of the system of perturbation equations (derived from the Navier-Stokes equations), has been confirmed for finite axial Reynolds numbers by a few simple experiments. The results suggest that, at high axial Reynolds numbers, the amount of rotation required for destabilization could be small enough to have escaped notice in experiments on the transition to turbulence in (nominally) non-rotating pipe flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 73 , Issue 1 , 13 January 1976 , pp. 153 - 164
Copyright
© 1976 Cambridge University Press

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