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Drag on spheres in micropolar fluids with non-zero boundary conditions for microrotations

Published online by Cambridge University Press:  15 October 2007

KARL-HEINZ HOFFMANN ,
DAVID MARX  and
NIKOLAI D. BOTKIN
KARL-HEINZ HOFFMANN
Affiliation:
Department of Applied Mathematics, Technical University of Munich, Boltzmann Street 3, 85747 Garching/Munich, Germany
DAVID MARX
Affiliation:
DFG Research Center Matheon, Humboldt-University of Berlin, Unter den Linden 6, 10099 Berlin, Germany
NIKOLAI D. BOTKIN
Affiliation:
Department of Applied Mathematics, Technical University of Munich, Boltzmann Street 3, 85747 Garching/Munich, Germany
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Abstract

The Stokes formula for the resistance force exerted on a sphere moving with constant velocity in a fluid is extended to the case of micropolar fluids. A non-homogeneous boundary condition for the micro-rotation vector is used: the micro-rotation on the boundary of the sphere is assumed proportional to the rotation rate of the velocity field on the boundary.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 590 , 10 November 2007 , pp. 319 - 330
Copyright
Copyright © Cambridge University Press 2007

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References

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