Diffusion of chemically reactive species in a porous medium

    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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