Laminar Flow in a Porous Channel

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


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.


Laminar Flow Uniqueness Theorem Porous Channel Cool Liquid Infinite Length 
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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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