A numerical method for mass transfer by a thin moving membrane with selective permeabilities

Suguru Miyauchi, Shintaro Takeuchi, Takeo Kajishima

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We propose a numerical method for mass transfer by membrane movement in the framework of the non-conforming mesh with respect to the membrane. The method treats the discontinuity at the membrane by incorporating the concentration jump into the finite element discretization. Through coupling the weak forms of the unsteady convection-diffusion equation and membrane permeability equation, an implicit treatment of the jump value is derived, which is capable of handling both permeable and non-permeable membranes. Through some comparisons of the numerical tests with analytical solutions, the validity of the proposed method is established. The analytical solutions include the steady concentration distributions as well as transient state during the movement of the membrane. The method is applied to the mass transfer with a membrane of curved geometry, and the applicability for the membrane with arbitrary shape is demonstrated.

Original languageEnglish
Pages (from-to)490-504
Number of pages15
JournalJournal of Computational Physics
Publication statusPublished - 2015 Mar 1


  • Discontinuity
  • Finite element method
  • Mass transfer
  • Permeable membrane
  • Transient state

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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