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Low-Reynolds-number instabilities in stagnating jet flows

Published online by Cambridge University Press:  21 April 2006

J. O. Cruickshank
Affiliation:
Avco Research Laboratory Textron, 2385 Revere Beach Parkway, Everett. MA 02149. USA

Abstract

A theoretical model is developed for predicting the critical plate-orifice distances for viscous fluid buckling in plane and axisymmetric low-Reynolds-number bounded jets in stagnation flow. The theory is based on a hypothesis that treats the spatial growth of perturbation to the jet in a manner that distinguishes between the near-wall and far-field regions of the jet. This perturbation growth rate is shown to be the important parameter in the determination of the critical plate-orifice distances.

This study also uses a one-dimensional model of the fluid column when it is displaced from equilibrium to determine the frequency at which buckling is first initiated in the case of the plane jet.

Type
Research Article
Copyright
© 1988 Cambridge University Press

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