Tuesday, 12 October 2004 - 5:10 PM

This presentation is part of : Rajagopal Symposium

Diffusion of chemically reactive species in a porous medium over a stretching sheet

Kuppalapalle Vajravelu, University of central Florida, University of central Florida, Orlando, FL 32816

Solutions for a class of second order nonlinear differential equations, arising in chemically reactive species of a Newtonian fluid immersed in a porous medium over a stretching sheet, are obtained. Furthermore, using the Brouwer/Shauder fixed point theorem existence, uniqueness and analyticity results are established. Moreover, the exact analytical solutions (for some special cases) are obtained and used to validate the numerical solutions. The results obtained for the diffusion characteristics reveal many interesting behaviors that warrant further study of the effects of reaction rate on the transfer of chemically reactive species.

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