Title

A General Class Of Coupled Nonlinear Differential Equations Arising In Self-Similar Solutions Of Convective Heat Transfer Problems

Keywords

Boundary layer flow; Coupled equations; Existence theorem; Nonlinear ordinary differential equations; Similarity solution; Stretching surface; Uniqueness theorem; Viscous flow

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. © 2010 Elsevier Inc. All rights reserved.

Publication Date

9-15-2010

Publication Title

Applied Mathematics and Computation

Volume

217

Issue

2

Number of Pages

460-465

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.amc.2010.05.077

Socpus ID

77955660831 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77955660831

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