Drag coefficient of a liquid domain in a two-dimensional membrane

Details Drag coefficient of a liquid domain in a two-dimensional membrane Drag coefficient of a liquid domain in a two-dimensional membrane

2009-11-03

arxiv.org/abs/0911.0514v2

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 5 Figures. Accepted for publication in Eur. Phys. J. E

Scientific paper

Using a hydrodynamic theory that incorporates a momentum decay mechanism, we calculate the drag coefficient of a circular liquid domain of finite viscosity moving in a two-dimensional membrane. We derive an analytical expression for the drag coefficient which covers the whole range of domain sizes. Several limiting expressions are discussed. The obtained drag coefficient decreases as the domain viscosity becomes smaller with respect to the outer membrane viscosity. This is because the flow induced in the domain acts to transport the fluid in the surrounding matrix more efficiently.

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