Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption

    Authors

    R. A. Van Gorder;K. Vajravelu

    Comments

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

    Abbreviated Journal Title

    Appl. Math. Comput.

    Keywords

    Navier-Stokes equations; Similarity solution; Stagnation point flow; Exact solution; Analytical solution; Numerical solution; Permeable; stretching surface; STAGNATION-POINT FLOW; HOMOTOPY ANALYSIS METHOD; NONLINEAR; DIFFERENTIAL-EQUATIONS; VISCOELASTIC FLUID; GENERAL-APPROACH; SHEET; PLATE; Mathematics, Applied

    Abstract

    We consider a convective flow in a porous medium of an incompressible viscous conducting fluid impinging on a permeable stretching surface with suction, and internal heat generation/absorption. Using a similarity transformation the governing equations of the problem are reduced to a coupled third-order nonlinear ordinary differential equations. We first examine a number of special cases for which we may obtain exact solutions. We then obtain analytical solutions (by the Homotopy Analysis Method) and numerical solutions (by a boundary value problem solver), in order to further study the behavior of the nonlinear differential equations, for various values of the physical parameters. Our numerical solutions are shown to agree with the available results in the literature. We then employ the numerical results to bring out the effects of the suction parameter, heat source/sink parameter, stretching parameter, porosity parameter, the Prandtl number and the free convection parameter on the flow and heat transfer characteristics. In the absence of suction and free convection, our findings are in agreement with the corresponding numerical results of Attia [H. A. Attia, On the effectiveness of porosity on stagnation point flow towards a stretching surface with heat generation, Comput. Mater. Sci. 38 (2007) 741-745]. (C) 2010 Elsevier Inc. All rights reserved.

    Journal Title

    Applied Mathematics and Computation

    Volume

    217

    Issue/Number

    12

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    5810

    Last Page

    5821

    WOS Identifier

    WOS:000286969000066

    ISSN

    0096-3003

    Share

    COinS