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Maximum dissipation resulting from lift in a slow viscous shear flow

Published online by Cambridge University Press:  28 March 2006

E. Y. Harper  and
I-Dee Chang
E. Y. Harper
Affiliation:
Department of Aeronautics and Astronautics, Stanford University, Stanford, California Now at Lockhead Palo Alto Research Laboratory.
I-Dee Chang
Affiliation:
Department of Aeronautics and Astronautics, Stanford University, Stanford, California
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Abstract

The lift tensor for any three-dimensional body moving in a linear shear flow at low Reynolds numbers has been calculated by asympototic methods. The tensor is applied to the problem of the motion of a dumb-bell shaped particle. The particle is shown to have a preferred periodic orbit which corresponds to maximum dissipation. The dissipation is calculated and the intrinsic viscosity of a dilute suspension of such particles is predicted. Experiments conducted with a single particle tend to confirm the stability of the predicted orientation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 2 , 12 August 1968 , pp. 209 - 225
Copyright
© 1968 Cambridge University Press

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