Title

Diffusion of chemically reactive species in a porous medium

Authors

Authors

K. Vajravelu; J. R. Cannon;D. Rollins

Comments

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Abbreviated Journal Title

Q. Appl. Math.

Keywords

LAMINAR BOUNDARY-LAYER; MOVING SHEET ELECTRODE; STRETCHING SHEET; HEAT-TRANSFER; VISCOELASTIC FLUID; MASS-TRANSFER; FLOW; SUCTION; PLATE; SURFACE; Mathematics, Applied

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.

Journal Title

Quarterly of Applied Mathematics

Volume

64

Issue/Number

1

Publication Date

1-1-2006

Document Type

Article

Language

English

First Page

17

Last Page

28

WOS Identifier

WOS:000236787100002

ISSN

0033-569X

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