Title

Diffusion Of Chemically Reactive Species In A Porous Medium

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. © 2006 Brown University.

Publication Date

1-1-2006

Publication Title

Quarterly of Applied Mathematics

Volume

64

Issue

1

Number of Pages

17-28

Document Type

Article

Personal Identifier

scopus

DOI Link

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

Socpus ID

33645907833 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33645907833

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