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Two-dimensional shear dispersion for skewed flows in narrow gaps between moving surfaces

Published online by Cambridge University Press:  26 April 2006

Ronald Smith
Ronald Smith
Affiliation:
Department of Mathematical Sciences, University of Technology, Loughborough LE11 3TU, UK
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Abstract

Flows transporting material between nearby moving surfaces are ubiquitous in machinery of all scales and with a variety of geometries. Here a general derivation is given of the effective two-dimensional mixing process in a narrow gap for a solute or miscible fluids. Explicit formulae are given for the shear dispersion tensor in laminar and turbulent (logarithmic velocity profile) flows. It is shown that if improved mixing is required, then the optimum direction for additional boundary motion or stress is at right angles to the primary flow direction.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 214 , May 1990 , pp. 211 - 228
Copyright
© 1990 Cambridge University Press

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