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The early stages of contaminant dispersion in shear flows

Published online by Cambridge University Press:  20 April 2006

Ronald Smith
Ronald Smith
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

The dispersion of a spot of contaminant in a high-Péclet-number laminar flow is studied by means of the ray method developed by Cohen & Lewis (1967). This method is free from the usual severe restrictions on the time range. Thus, it is possible to investigate strong shear-distortions of the concentration distribution. Also, the effects of rigid boundaries can be allowed for simply by including reflected rays. Three examples are studied in detail: stagnation flow, a point vortex and plane Poiseuille flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 111 , October 1981 , pp. 107 - 122
Copyright
© 1981 Cambridge University Press

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