Diffusion of chemically reactive species in a porous medium

Authors:
K. Vajravelu, J. R. Cannon and D. Rollins

Journal:
Quart. Appl. Math. **64** (2006), 17-28

MSC (2000):
Primary 34B15, 76D03, 76S05, 76V05

DOI:
https://doi.org/10.1090/S0033-569X-06-01003-8

Published electronically:
January 24, 2006

MathSciNet review:
2211375

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Solutions for a class of nonlinear second-order differential equations, arising in diffusion of chemically reactive species of a Newtonian fluid immersed in a porous medium over an impervious stretching sheet, are obtained. Using the Schauder theory, existence and uniqueness results are established. Moreover, the exact analytical solutions (for some special cases) are obtained and are 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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Additional Information

**K. Vajravelu**

Affiliation:
Dept. of Mathematics, University of Central Florida, Orlando, Florida 32816

**J. R. Cannon**

Affiliation:
Dept. of Mathematics, University of Central Florida, Orlando, Florida 32816

**D. Rollins**

Affiliation:
Dept. of Mathematics, University of Central Florida, Orlando, Florida 32816

DOI:
https://doi.org/10.1090/S0033-569X-06-01003-8

Received by editor(s):
May 16, 2004

Published electronically:
January 24, 2006

Article copyright:
© Copyright 2006
Brown University