A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems

    Authors

    R. A. Van Gorder;K. Vajravelu

    Comments

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    Abbreviated Journal Title

    Appl. Math. Comput.

    Keywords

    Boundary layer flow; Nonlinear ordinary differential equations; Coupled; equations; Similarity solution; Viscous flow; Stretching surface; Existence theorem; Uniqueness theorem; BOUNDARY-LAYER EQUATIONS; STRETCHING SHEET; VISCOELASTIC FLUID; MASS-TRANSFER; FLOW; PLATE; SUCTION; BRANCH; Mathematics, Applied

    Abstract

    We establish existence and uniqueness results for a general class of coupled nonlinear third order differential equations arising in flow and heat transfer problems. We consider solutions over the semi-infinite interval. As special cases, we recover the existence and uniqueness results of solutions for the following physically meaningful scenarios (among others): (i) flow and heat transfer over a stretching sheet, (ii) flow and heat transfer over a nonlinearly stretching porous sheet, (iii) linear convective flow and heat transfer over a porous nonlinearly stretching sheet and (iv) nonlinear convective heat transfer over a porous nonlinearly stretching sheet. In all the cases the effects of viscous dissipation and the internal heat generation/absorption on the flow and heat transfer characteristics are included. Moreover, the obtained results are applicable to several problems dealing with flow and heat transfer phenomena. (C) 2010 Elsevier Inc. All rights reserved.

    Journal Title

    Applied Mathematics and Computation

    Volume

    217

    Issue/Number

    2

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    460

    Last Page

    465

    WOS Identifier

    WOS:000281063300002

    ISSN

    0096-3003

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