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Receptivity of pipe Poiseuille flow

Published online by Cambridge University Press:  26 April 2006

Anatoli Tumin
Anatoli Tumin
Affiliation:
Department of Fluid Mechanics and Heat Transfer, Tel-Aviv University, Tel-Aviv 69978, Israel
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Abstract

The receptivity problem is considered for pipe flow with periodic blow–suction through a narrow gap in the pipe wall. Axisymmetric and non-axisymmetric modes (1, 2, and 3) are analysed. The method of solution is based on global eigenvalue analysis for spatially growing disturbances in circular pipe Poiseuille flow. The numerical procedure is formulated in terms of the collocation method with the Chebyshev polynomials application. The receptivity problem is solved with an expansion of the solution in a biorthogonal eigenfunction system, and it was found that there is an excitation of many eigenmodes, which should be taken into account. The result explains the non-similar character of the amplitude distribution in the downstream direction that was observed in experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 315 , 25 May 1996 , pp. 119 - 137
Copyright
© 1996 Cambridge University Press

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