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The creeping motion of a non-Newtonian fluid past a sphere

Published online by Cambridge University Press:  28 March 2006

B. Caswell  and
W. H. Schwarz
B. Caswell
Affiliation:
Department of Chemical Engineering, Stanford University, Stanford, California
W. H. Schwarz
Affiliation:
Department of Chemical Engineering, Stanford University, Stanford, California
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Abstract

The equations of motion and continuity are solved together with the slow-flow stress equations for an incompressible Rivlin-Ericksen fluid. The boundary conditions for slow flow past a sphere are satisfied by matching inner (Stokes) and outer (Oseen) Reynolds-number expansions of the stream function. The terms in the inner expansion are the solutions of non-linear partial differential equations which are solved approximately by expanding in terms of a non-Newtonian parameter λ. The drag force on the sphere is obtained from the solution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 13 , Issue 3 , July 1962 , pp. 417 - 426
Copyright
© 1962 Cambridge University Press

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