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Buoyancy effects in vertical shear dispersion

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

Density gradients modify the flow and hence the shear dispersion of one miscible fluid in another. A solution procedure is given for calculating the effects of weak buoyancy for vertical laminar parallel shear flows. A particular extrapolation to large buoyancy gives an exactly solvable nonlinear diffusion equation. For the particular case of vertical plane Poiseuille flow explicit formulae are derived for the flow, for the nonlinear shear dispersion coefficient and for the onset of instability. The exactly solvable model gives reasonably accurate results for the buoyancy-modified shear dispersion over a range from half to one-and-a-half times the non-buoyant value.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 242 , September 1992 , pp. 371 - 386
Copyright
© 1992 Cambridge University Press

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