The Open Transport Phenomena Journal

2010, 2 : 109-115
Published online 2010 December 10. DOI: 10.2174/1877729501002010109
Publisher ID: TOTPJ-2-109

Non-Darcy Mixed Convection with Thermal Dispersion-Radiation in a Saturated Porous Medium

B. D. C. N. Prasad and K. Hemalatha
Department of Mathematics, V. R. Siddhartha Engineering College, Vijayawada-7, Andhra Pradesh, India

ABSTRACT

In the present work melting with thermal dispersion and radiation on non-Darcy, mixed convective heat transfer from an infinite vertical plate embedded in a saturated porous medium is studied. Both aiding and opposing flows are examined. Forchheimer extension for the flow equations in steady state is considered Similarity solution for the governing equations is obtained .The equations are numerically solved using Runge-kutta fourth order method coupled with shooting technique. The effects of melting (M), thermal dispersion (D), radiation(R) inertia (F) and mixed convection (Ra/Pe) on velocity distribution, temperature and Nusselt number are examined. It is observed that the Nusselt number decreases with increase in melting parameter and increases with increase in the combined effect of thermal dispersion and radiation.

Keywords:

Porous medium, melting, thermal dispersion, thermal radiation, mixed convection.