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About: This article is published in Physics of Fluids.The article was published on 1975-12-01. It has received None citations till now.
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TL;DR: In this paper, an asymptotic analysis is made of the unsteady boundary layer flow generated impulsively in an incompressible homogeneous viscous fluid bounded by an infinite porous plate with uniform suction or blowing to describe the manner of the transient approach to the ultimate steady state.
Abstract: An asymptotic analysis is made of the unsteady boundary layer flow generated impulsively in an incompressible homogeneous viscous fluid bounded by an infinite porous plate with uniform suction or blowing to describe the manner of the transient approach to the ultimate steady state. It is shown that the initial motion for small times describes the general features of the unsteady boundary‐layer flow and consists of three boundary layers on the plate which are unaffected by rotation. In subsequent large times, the effect of rotation manifests itself through inertial oscillations of frequency 2Ω and the generation of diffused waves propagating outward from the plate with velocity 2(Ων)1/2a1. It is found that the final steady boundary layers are established in a dimensional time (4/Ω) (S4/4E2 + 4)−1/2 which decreases with an increase in the suction parameter. Several limiting cases of interest are recovered from this analysis.
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