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Motion of a tank-treading ellipsoidal particle in a shear flow

Published online by Cambridge University Press:  20 April 2006

Stuart R. Keller  and
Richard Skalak
Stuart R. Keller
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY 10027, U.S.A. Present address: Exxon Production Research Company, P.O. Box 2189, Houston, Texas 77001, U.S.A.
Richard Skalak
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY 10027, U.S.A.
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Abstract

A theoretical model is developed for the motion of a human red blood cell in a shear field. The model consists of a tank-treading ellipsoidal membrane encapsulating an incompressible Newtonian liquid immersed in a plane shear flow of another incom- pressible Newtonian liquid. Equilibrium and energy considerations lead to a solution for the motion of the particle that depends on the ellipsoidal-axis ratios and the ratio of the inner- to outer-liquid viscosities. The effect of variation in these parameters is explored and it is shown that, depending on their values, one of two types of overall motion is exhibited: a steady stationary-orientation motion or an unsteady flipping motion. A qualitative agreement of the predicted behaviour of the model with experi- mental observations on red blood cells is found.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 120 , July 1982 , pp. 27 - 47
Copyright
© 1982 Cambridge University Press

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