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The effect of curvature and topology on membrane hydrodynamics

M. L. Henle1, R. McGorty2,3, A. B. Schofield4, A. D. Dinsmore2 and A. J. Levine1,5

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We study the mobilities of point-like and extended objects (rods) on a spherical membrane to show how these quantities are modified in a striking manner by the curvature and topology of the membrane. We also present theoretical calculations and experimental measurements of the membrane fluid velocity field around a moving rod bound to the crowded interface of a water-in-oil droplet. By using different droplet sizes, membrane viscosities, and rod lengths, we show that the viscosity mismatch between the interior and exterior fluids leads to a suppression of the fluid flow on small droplets that cannot be captured by the flat-membrane predictions.


PACS

47.63.-b Biological fluid dynamics

87.16.dp Transport, including channels, pores, and lateral diffusion

68.05.-n Liquid-liquid interfaces

Subjects

Soft matter, liquids and polymers

Fluid dynamics

Surfaces, interfaces and thin films

Medical physics

Biological physics

Dates

Issue 4 (November 2008)

Received 11 July 2008, accepted for publication 5 October 2008

Published 10 November 2008



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