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

    Authors

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

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    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

    Share

    COinS