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Convective—diffusive transport with a wall reaction in Couette flows

✍ Scribed by Z. Chen; P. Arce; B.R. Locke

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
636 KB
Volume
61
Category
Article
ISSN
0923-0467

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✦ Synopsis

Convective-diffusive mass transport coupled with a wall reaction in a planar Couette flow has been investigated. The system is isothermal and it features a first-order chemical reaction at the (upper) moving wall (or interface) combined with axial convective transport and lateral diffusion. The mathematical model defines a two-point boundary value problem in the lateral direction and an initial value problem in the axial direction. The solution to the model is obtained following an operator-theoretic approach whose Stürm-Liouville problem has been solved analytically in terms of Airy functions. The solution is illustrated with calculations for a wide range of parameter values and the effect of the reaction on the Sherwood number has also been investigated.

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