Title

Free Convection Boundary Layer Flow Past A Vertical Surface In A Porous Medium With Temperature-Dependent Properties

Keywords

Convection heat transfer; Numerical solution; Porous medium; Temperature-dependent variable fluid properties; Viscous dissipation

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 {pipe}fw{pipe}. 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. © 2011 Springer Science+Business Media B.V.

Publication Date

12-1-2011

Publication Title

Transport in Porous Media

Volume

90

Issue

3

Number of Pages

977-992

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11242-011-9827-5

Socpus ID

81255166076 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/81255166076

This document is currently not available here.

Share

COinS