Title

Heat transfer over a nonlinearly stretching sheet with non-uniform heat source and variable wall temperature

Authors

Authors

M. M. Nandeppanavar; K. Vajravelu; M. S. Abel;C. O. Ng

Comments

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Abbreviated Journal Title

Int. J. Heat Mass Transf.

Keywords

Non-uniform heat source; Variable wall temperature; Nonlinear; stretching; Heat transfer; Skin friction; BOUNDARY-LAYER-FLOW; CONTINUOUS SOLID SURFACES; VISCOUS DISSIPATION; MASS-TRANSFER; FLUID-FLOW; RADIATION; INJECTION; BEHAVIOR; SUCTION; PLATE; Thermodynamics; Engineering, Mechanical; Mechanics

Abstract

In this paper we study the flow and heat transfer characteristics of a viscous fluid over a nonlinearly stretching sheet in the presence of non-uniform heat source and variable wall temperature. A similarity transformation is used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme is used to obtain the solution of the boundary value problem. The effects of various parameters (such as the power law index n, the Prandtl number Pr, the wall temperature parameter lambda, the space dependent heat source parameter A* and the temperature dependent heat source parameter B*) on the heat transfer characteristics are analyzed. The numerical results for the heat transfer coefficient (the Nusselt number) are presented for several sets of values of the parameters and are discussed. The results reveal many interesting behaviors that warrant further study on the effects of non-uniform heat source and the variable wall temperature on the heat transfer phenomena at the nonlinear stretching sheet. (C) 2011 Elsevier Ltd. All rights reserved.

Journal Title

International Journal of Heat and Mass Transfer

Volume

54

Issue/Number

23-24

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

4960

Last Page

4965

WOS Identifier

WOS:000295115900020

ISSN

0017-9310

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