Title

Free Convection Boundary Layer Flow Past a Vertical Surface in a Porous Medium with Temperature-Dependent Properties

Authors

Authors

K. Vajravelu; K. V. Prasad; R. A. Van Gorder;J. Lee

Comments

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

Abbreviated Journal Title

Transp. Porous Media

Keywords

Porous medium; Convection heat transfer; Temperature-dependent variable; fluid properties; Viscous dissipation; Numerical solution; LATERAL MASS FLUX; HEAT-TRANSFER; MIXED CONVECTION; VISCOUS DISSIPATION; VOLUMETRIC EXPANSION; SIMILARITY SOLUTIONS; PERMEABILITY VALUES; VARIABLE VISCOSITY; FORCED-CONVECTION; STRETCHING SHEET; Engineering, Chemical

Abstract

Numerical solutions for the free convection heat transfer in a viscous fluid at a permeable surface embedded in a saturated porous medium, in the presence of viscous dissipation with temperature-dependent variable fluid properties, are obtained. The governing equations for the problem are derived using the Darcy model and the Boussinesq approximation (with nonlinear density temperature variation in the buoyancy force term). The coupled non-linearities arising from the temperature-dependent density, viscosity, thermal conductivity, and viscous dissipation are included. The partial differential equations of the model are reduced to ordinary differential equations by a similarity transformation and the resulting coupled, nonlinear ordinary differential equations are solved numerically by a second order finite difference scheme for several sets of values of the parameters. Also, asymptotic results are obtained for large values of | f (w)|. Moreover, the numerical results for the velocity, the temperature, and the wall-temperature gradient are presented through graphs and tables, and are discussed. It is observed that by increasing the fluid variable viscosity parameter, one could reduce the velocity and thermal boundary layer thickness. However, quite the opposite is true with the non-linear density temperature variation parameter.

Journal Title

Transport in Porous Media

Volume

90

Issue/Number

3

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

977

Last Page

992

WOS Identifier

WOS:000297121300018

ISSN

0169-3913

Share

COinS