ON THE FLOW IN A CHANNEL DUE TO A PERIODIC PRESSURE GRADIENT

1 February 1965

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 18 (1) , 1-10
https://doi.org/10.1093/qjmam/18.1.1

Abstract

This paper considers the flow of an incompressible viscous fluid in a long channel of rectangular section due to a periodic pressure gradient. Asymptotic forms, valid for large values of the frequency, are obtained for the velocity and the skin-friction. The mean-square velocity is found and its variation over the cross-section of the channel is discussed.

Keywords

FLOW
FLUID
VISCOUS
ASYMPTOTIC
INCOMPRESSIBLE
RECTANGULAR
FREQUENCY
PERIODIC PRESSURE GRADIENT

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