Combined effects of thermal radiation and heat generation on natural convection in a square cavity filled with Darcy-Forchheimer porous medium

International Journal of Applied Mathematics and Computation

Dulal Pala²  Sabyasachi Mondal¹  Tapas Ray Mahapatraa² 

[1] Bengal Institute of Technology and Management, Santiniketan, West Bengal-731 236, India$$;Department of Mathematics, Visva-Bharati (A Central University), Santiniketan, West Bengal-731 235, India$$

关键词: Natural convection;    heat transfer;    Darcy-Forchheimer porous medium;    thermal radiation;    heat generation.;   

DOI  :  10.0000/ijamc.2012.4.4.540

来源: PSIT Kanpur

【 摘 要 】

Combined effects of thermal radiation and internal heat source/sink, formulation for natural-convection flow in a square cavity filled with porous medium using isothermal vertical walls and adiabatic horizontal ones, has been studied numerically by using finite-difference technique in staggered grid distribution. The simulations have been carried out by considering for both Darcian and non-Darcian models. The hydrodynamic field in the porous medium is modelled according to the general model involving Brinkman and Forchheimer terms. The present numerical approach yields consistent performance over the range of parameters for Rayleigh number, Thermal radiation parameter, Heat generating parameter in order to obtain the solutions in terms of streamlines, isotherms, velocity profiles, temperature profiles, local Nusselt numbers and the average Nusselt number. For the purpose of numerical simulation we have considered Pr = 1.0 and Ɛ= 0.4. The results are also computed for vertical velocity and temperature profiles for non-porous case by taking Ɛ =1.0 and Da=10 4 . Heat transfer rates at the heated walls are presented in terms of local Nusselt number.

【 授权许可】

Unknown