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Effect of boundary reaction on solute dispersion in pulsatile flow through a tube

Published online by Cambridge University Press:  26 April 2006

Bijoy S. Mazumder  and
Samir K. Das
Bijoy S. Mazumder
Affiliation:
Illinois State Water Survey, University of Illinois at Urbana-Champaign, 2204 Griffith Drive, Champaign, IL 61820, USA Present Address: Mathematics and Statistics Division, Indian Statistical Institute, 203 B.T. Road, Calcutta 700035, India.
Samir K. Das
Affiliation:
Central Water and Power Research Station, Pune 411024, India
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Abstract

This paper examines the streamwise dispersion of passive contaminant molecules released in a time-dependent laminar flow through a tube in the presence of boundary absorption or a catalytic wall reaction, which causes a depletion of contaminant in the flow. A finite-difference implicit scheme has been used to solve the unsteady convective–diffusion equation for all time. Here it is shown how the mixing of the cross-sectionally integrated concentration of contaminant molecules is influenced by the frequency of pressure pulsation and the heterogeneous reaction at the boundary. The behaviour of the dispersion coefficient due to the shear effects of steady, oscillatory, and the combined action of steady and periodic currents have been examined separately. The comparison reveals that for all cases the dispersion coefficient asymptotically reaches a stationary state after a certain time and it decreases with the absorption parameter. The increased wall absorption causes negatively skewed deviations from Gaussianity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 239 , June 1992 , pp. 523 - 549
Copyright
© 1992 Cambridge University Press

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