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  Quarterly of Applied Mathematics
Quarterly of Applied Mathematics
  
Online ISSN 1552-4485; Print ISSN 0033-569X
 

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
Published electronically: January 24, 2006
MathSciNet review: 2211375
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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: http://dx.doi.org/10.1090/S0033-569X-06-01003-8
PII: S 0033-569X(06)01003-8
Received by editor(s): May 16, 2004
Published electronically: January 24, 2006
Article copyright: © Copyright 2006 Brown University



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