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On fluctuating flow of an elastico-viscous fluid past an infinite plate with variable suction

Published online by Cambridge University Press:  28 March 2006

V. M. Soundalgekar  and
Pratap Puri
V. M. Soundalgekar
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay (76), India
Pratap Puri
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay (76), India Present address: Department of Mathematics, Louisiana State University, New Orleans, U.S.A.
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Abstract

An exact solution is obtained for the two-dimensional flow of an elastico-viscous (Walters fluid B’) incompressible fluid past an infinite porous wall under the following conditions: (i) the suction velocity normal to the plate oscillates in magnitude but not in direction about a non-zero mean; (ii) the free-stream velocity oscillates in time about a constant mean.

The response of the skin-friction to the fluctuating stream and suction velocity is studied for variations in the suction parameter A, the elasticity parameter k and the frequency parameter μ. It is found that the back-flow at the wall is enhanced by k. For the same value of A, the amplitude of the skin-friction decreases with increasing k. Also an increase in k and μ leads to a decrease in the phase of the skin-friction. For moderately large A and k, the phase of the skin-friction may be completely negative.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 3 , 20 February 1969 , pp. 561 - 573
Copyright
© 1969 Cambridge University Press

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