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Slip flow of a viscous fluid past an inclined flat plate

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Summary

Viscous flow of a slightly rarefied gas past a flat plate inclined to a uniform stream is studied analytically on the basis of the Oseen equation. A set of singular integral equations for the distribution of Oseenlets along the surface of the plate is derived from the slip boundary condition and solved by a method of matched asymptotic expansions. The drag and lift forces acting on the plate are calculated correctly to the order of the Knudsen number k. The results show that the lift coefficient increases owing to the slip by an amount of O (k |ln k|) while the drag decreases.

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Authors and Affiliations

  1. Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture, Sakai, Japan

    H. Miura

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  1. H. Miura
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Miura, H. Slip flow of a viscous fluid past an inclined flat plate. J Eng Math 17, 41–53 (1983). https://doi.org/10.1007/BF00042837

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  • DOI: https://doi.org/10.1007/BF00042837

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