https://doi.org/10.1140/epje/i2010-10577-3
Regular Article
Drag coefficient of a liquid domain in a two-dimensional membrane
1
Department of Chemistry, Graduate School of Science and Engineering, Tokyo Metropolitan University, 192-0397, Tokyo, Japan
2
Department of Physics, Faculty of Science, Ochanomizu University, 112-0012, Tokyo, Japan
3
National Institute of Advanced Industrial Science and Technology, 305-8565, Ibaraki, Japan
* e-mail: komura@tmu.ac.jp
Received:
8
November
2009
Revised:
28
January
2010
Accepted:
19
February
2010
Published online:
20
March
2010
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.
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2010