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Large deformations of elastic cylindrical capsules in shear flows

Published online by Cambridge University Press:  26 April 2006

Peddada R. Rao ,
George I. Zahalak  and
Salvatore P. Sutera
Peddada R. Rao
Affiliation:
Department of Mechanical Engineering, The University of Maryland, Baltimore, MD 21228, USA
George I. Zahalak
Affiliation:
Department of Mechanical Engineering, Washington University, St Louis, MO 63130, USA
Salvatore P. Sutera
Affiliation:
Department of Mechanical Engineering, Washington University, St Louis, MO 63130, USA
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Abstract

The nonlinear problem of the steady-state interaction of a closed fluid-filled cylindrical elastic membrane with a slow viscous shear flow has been solved by a series-expansion technique. The problems of successive orders were both formulated and solved by a symbolic manipulation program, and the calculations were carried to sixth order in a dimensionless parameter related to the applied shear rate. Moderately large deformations (aspect ratios approaching 3) fall within the range of this analysis, which yields the dependences of the following global variables on the system parameters: membrane deformation, orientation, and strain, as well as tank-treading frequency, and mean internal pressure. The solution for the flow field around an isolated capsule is also used to calculate the apparent viscosity of a dilute suspension of flexible cylindrical particles, which yields the paradoxical result that the apparent viscosity decreases as the internal viscosity increases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 270 , 10 July 1994 , pp. 73 - 90
Copyright
© 1994 Cambridge University Press

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