Flow around a circular pore of a flat and incompressible fluid-membrane

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In terms of the steady Stokes approximation, we consider flow fields around a circular pore of a flat and incompressible fluid-membrane, which is surrounded by a three-dimensional fluid. Pore size changes because of the line tension of the pore perimeter and the in-plane stress of the membrane. The pressure difference across the membrane causes a three-dimensional flow through the pore. The dependence of its volumetric flow rate on the difference between the pressure far from the membrane on its one side and that on the other side is found to be the same as obtained previously for a pore of a solid plate. We derive a differential equation for the time evolution of pore size, considering the viscosity of the surrounding fluid.

Original languageEnglish
Article number084402
JournalJournal of the Physical Society of Japan
Issue number8
Publication statusPublished - 2009 Aug 1



  • Electroporation
  • Hankel transformation
  • Lipid-bilayer membrane
  • Mixed-boundary value problem

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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