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Laminar Flow in a Porous Channel

  • J. B. McLeod
Part of the NATO ASI Series book series (NSSB, volume 284)

Abstract

We consider the problem of steady incompressible viscous flow in a two-dimensional channel of infinite length, bounded by lines which we take to be the lines y = ± 1. Thus the x-axis is along the centre of the channel. The walls of the channel are porous, and the problem can arise, for example, in situations where one wishes to cool a hot liquid flowing along the channel by allowing cooler liquid to enter through the walls (transpiration cooling) or where one seeks to separate two components in a mixture in the channel which may have different rates of diffusion through the walls.

Keywords

Laminar Flow Uniqueness Theorem Porous Channel Cool Liquid Infinite Length 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    A. S. Berman, Laminar flow in channels with porous walls, J. Appl. Phys. 24 (1953), 1232–1235.MathSciNetADSMATHCrossRefGoogle Scholar
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    S. P Hastings, C. Lu & A. D. MacGillivray, A boundary value problem with multiple solutions from the theory of laminar flow, preprint.Google Scholar
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    A. D. MacGillivray, private communication.Google Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • J. B. McLeod
    • 1
    • 2
  1. 1.Mathematical InstituteUniversity of OxfordOxfordUK
  2. 2.Department of Mathematics and StatisticsUniversity of PittsburghPittsburghUSA

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