Steady streaming in a channel with permeable walls

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We study steady streaming in a channel between two parallel permeable walls induced by oscillating (in time) injection/suction of a viscous fluid
at the walls. We obtain an asymptotic expansion of the solution of the Navier-Stokes equations in the limit when the amplitude of the normal
displacements of fluid particles near the walls is much smaller than both the width of the channel and the thickness of the Stokes layer. It is shown that the steady part of the flow in this problem is much stronger than the steady flow produced by vibrations of impermeable boundaries. Another interesting feature of this problem is that the direction of the steady flow is opposite to what one would expect if the flow was produced by vibrations of impermeable walls.
Original languageEnglish
Pages (from-to)65-82
Number of pages18
JournalEuropean Journal of Applied Mathematics
Issue number1
Early online date28 Aug 2013
Publication statusPublished - Feb 2014


  • Fluid Dynamics
  • Mathematical Physics
  • Boundary layers

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