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Published 1967 | Published
Journal Article Open

Flow Induced by the Impulsive Motion of an Infinite Flat Plate in a Dusty Gas

Liu, J. T. C.

Abstract

Flow Induced by the Impulsive Motion of an Immite Flat Plate in a Dusty Gas. The problem of flow induced by an infinite flat plate suddenly set into motion parallel to its own plane in an incompressible dusty gas is of considerable physical interest in its own right as well as because of its close relation to the non-linear, steady (constant-pressure) laminar boundary layer. Its solution provides complete and exact information about modifications of the boundary layer growth and skin friction due to particle-fluid interaction. Moreover, it provides a basis for judging the accuracy of approximations which have been employed in more complex problems of viscous fluid-particle motion. The uncoupled thermal Rayleigh problem for small relative temperature differences is directly inferred and this answers questions about the modifications of the surface heat transfer rate and about the possibility of similarity with the velocity boundary layer. Similarity is possible when, in addition to a Prandtl number of unity, the streamwise relaxation processes are also similar.

Additional Information

© Pergamon Press Ltd., 1967. Received 23 December 1966. The author is indebted to Professor Frank E. Marble for stimulating his interest and for the many helpful and pleasant discussions. The interest and advice of Professor W. D. Rannie were very much appreciated This work was supported by the National Science Foundation under Grant GP-713.

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August 19, 2023
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