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The translational and rotational drag on a cylinder moving in a membrane

Published online by Cambridge University Press:  20 April 2006

B. D. Hughes ,
B. A. Pailthorpe  and
L. R. White
B. D. Hughes
Affiliation:
Department of Applied Mathematics, Research School of Physical Sciences, Institute of Advanced Studies, Australian National University, Canberra, A.C.T. 2600, Australia
B. A. Pailthorpe
Affiliation:
Department of Applied Mathematics, Research School of Physical Sciences, Institute of Advanced Studies, Australian National University, Canberra, A.C.T. 2600, Australia
L. R. White
Affiliation:
Department of Applied Mathematics, Research School of Physical Sciences, Institute of Advanced Studies, Australian National University, Canberra, A.C.T. 2600, Australia
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Abstract

The translational and rotational drag coefficients for a cylinder undergoing uniform translational and rotational motion in a model lipid bilayer membrane is calculated from the appropriate linearized Navier–Stokes equations. The calculation serves as a model for the lateral and rotational diffusion of membrane-bound particles and can be used to infer the ‘microviscosity’ of the membrane from the measured diffusion coefficients. The drag coefficients are obtained exactly using dual integral equation techniques. The region of validity of an earlier asymptotic solution obtained by Saffman (1976) is elucidated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 110 , September 1981 , pp. 349 - 372
Copyright
© 1981 Cambridge University Press

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