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Minimum dissipation rate flow with given flux

Published online by Cambridge University Press:  30 April 2003

JOSEPH B. KELLER
JOSEPH B. KELLER
Affiliation:
Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, CA 93405-2125, USAkeller@math.stanford.edu
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Abstract

Flow of a viscous incompressible fluid through a conduit with rigid walls is considered, with the flux given at the entrance and exit. The velocity distribution which minimizes the rate of energy dissipation is characterized. It is a Stokes flow with the surface stress equal to a constant pressure at the entrance and another constant pressure at the exit.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 480 , 10 April 2003 , pp. 61 - 63
Copyright
© 2003 Cambridge University Press

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