Drag coefficient of a liquid domain in a fluid membrane

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We calculate the drag coefficient of a circular liquid domain in a flat fluid membrane, which is surrounded by threedimensional fluids, by using the Stokes approximation. Taking into account the difference between the membrane viscosities inside and outside the domain, we obtain an integral equation involving a parameter, which is defined as unity minus the ratio of the latter viscosity to the former. We solve the equation up to the linear order with respect to the parameter to calculate the drag coefficient numerically. Its derivative with respect to the domain viscosity, evaluated when there is no difference between the membrane viscosities, is shown to almost vanish.

Original languageEnglish
Article number074609
JournalJournal of the Physical Society of Japan
Volume80
Issue number7
DOIs
Publication statusPublished - 2011 Jul

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drag coefficients
viscosity
membranes
fluids
liquids
integral equations
unity
approximation

Keywords

  • Biomembrane
  • Diffusion coefficient
  • Einstein-Stokes law
  • Mixed boundary condition
  • Raft

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Drag coefficient of a liquid domain in a fluid membrane. / Fujitani, Youhei.

In: Journal of the Physical Society of Japan, Vol. 80, No. 7, 074609, 07.2011.

Research output: Contribution to journalArticle

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