Free convection in a triangular enclosure with fluid-saturated porous medium and internal heat generation

Abstract

Unsteady natural convection inside a triangular cavity is studied. The cavity is filled with a saturated porous medium has a nonisothermal left inclined wall while the bottom surface is isothermally heated and the right inclined surface is isothermally cooled. Internal heat generation is also considered, which is dependent on the fluid temperature. The governing equations are solved numerically by the finite volume method. The Prandtl number of the fluid is chosen to be 0.7 (air) whereas the aspect ratio and the Rayleigh number are 0.5 and 10 5 , respectively. The effect of heat generation on the fluid flow and heat transfer is presented in terms of streamlines and isotherms. The rate of heat transfer through the three surfaces of the enclosure is also presented.

MHD Natural Convection in a Porous Equilateral Triangular Enclosure With a Heated Square Body in the Presence of Heat Generation

“…2(c) and 2(d) show the results for the present study. The comparison shows that the present results agree with the numerical solution ofSaha and Gu (2012). Also, a comparison has been done withParvin and Nasrin (2011)…”

“…The numerical simulation for pure fluid without the MHD effect and a heated square body has been investigated by Saha and Gu (2012) for various values of heat generation parameter with Ra = 10 5 and Pr = 0.7. A test has made to contrast the results obtained by the current model with earlier study Saha and Gu (2012). The results of streamlines and isotherms are given in Figs.…”

Numerical Studies of Transition From Steady to Unsteady Coupled Thermal Boundary Layers

“…The time integration is by a second-order backward difference scheme. The discretized equations are iterated with under-relaxation factors [also see Xu et al (2009);Saha et al (2012aSaha et al ( , 2012b; Saha and Gu (2012)]. A grid system was constructed with coarse grids in the core and fine grids concentrated in the proximity of all wall boundaries with the grid expanding at a constant rate from the wall to the interior edge.…”