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Unsteady flow of a second-order fluid near a stagnation point

Published online by Cambridge University Press:  28 March 2006

A. C. Srivastava
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur, India

Abstract

Two-dimensional flow of a second-order fluid near a stagnation point occurring on a flat plate which is performing harmonic oscillations in its own plane is considered. The equations have been integrated by the Kármán-Pohlhausen method for small values of ω, the frequency of the oscillation of the plate, and the W.B.K. method is applied to solve the equations for high values of ω. The velocity profile within the boundary-layer region and the shearing stress on the plate have been obtained in both the cases. The oscillation of the shearing stress has a phase lead over the oscillation of the plate. This phase lead decreases with increase of the second-order effect for small values of ω.

Type
Research Article
Copyright
© 1966 Cambridge University Press

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