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Transverse motion of an elastic sphere in a shear field

Published online by Cambridge University Press:  29 March 2006

Christopher K. W. Tam
Affiliation:
Department of Mathematics, Florida State University, Tallahassee
William A. Hyman
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology
Present address: Bioengineering Program, Texas A & M University, College Station, Texas 77843.

Abstract

The forces acting on an elastic particle suspended in a shear field, and moving relative to it, are found for the case in which there are small deformations from an initially spherical shape. The deformation is the result of the viscous stresses acting on the particle. Of principal interest is that there is a component of the force perpendicular to the free-stream direction, so that the particle will migrate across the undisturbed streamlines.

Type
Research Article
Copyright
© 1973 Cambridge University Press

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