Applied Scientific Research

, Volume 52, Issue 1, pp 1–20 | Cite as

Boundary conditions for stokes flows near a porous membrane

  • Kek-Kiong Tio
  • Satwindar Singh Sadhal


A theoretical development is carried out to model the boundary conditions for Stokes flows near a porous membrane, which, in general, allows non-zero slip as well as normal flow at the surface. Two types of models are treated: an infinitesimally thin plate with a periodic array of circular apertures and a series of parallel slits. For Stokes flows, the mean normal flux and slip velocity are proportional to the pressure difference across the membrane and the average shear stress at the membrane, respectively. The appropriate proportionality constants which depend on the membrane geometry are calculated as functions of the porosity. An interesting feature of the results is that the slip at the membrane has, in general, a direction different from that of the applied shear for these models.

Key words

Stokes flow porous membrane 


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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • Kek-Kiong Tio
    • 1
  • Satwindar Singh Sadhal
    • 2
  1. 1.Department of Applied Mechanics and Engineering SciencesUniversity of CaliforniaSan Diego, La JollaUSA
  2. 2.Department of Mechanical EngineeringUniversity of Southern CaliforniaLos AngelesUSA

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