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Convective-diffusive transport with chemical reaction in natural convection flows. (English) Zbl 0966.76089
Summary: We study the laminar natural convection flow over a semi-infinite vertical plate at constant species concentration. The plate is maintained at a given concentration of some chemical species, while convection is induced by diffusion and chemical reactions with ambient fluid. In the absence of chemical reactions, a similarity transform is possible. When chemical reactions occur, we use perturbation expansions about an additional similarity variable which is dependent on the reaction rate. Two parameters of the problem are Schmidt number, \(Sc\), and the reaction order, \(n\). Results are presented for the Schmidt number ranging from 0.01 to 10000 and reaction order up to 5. In the presence of chemical reactions, the diffusion and velocity domains expand out from the plate. This results in a larger, less distinct convection layer.

MSC:
76R10 Free convection
76V05 Reaction effects in flows
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