Natural Convection in a Hydrodynamically and Thermally Anisotropic Non-Rectangular Porous Cavity: Effect of Internal Heat Generation/Absorption

Abstract

Laminar natural convection in a trapezoidal porous vertical cavity has been investigated in this work. It is assumed that the porous enclosure is filled up with a permeable material subject to hydrodynamic and thermal anisotropy, the flow being governed by the Darcy law as applicable to a non-isotropic medium. It is further assumed that (i) there is heating at the left vertical wall and cooling at the right wall of the enclosure and (ii) the flow domain is subject to the presence of heat source or heat sink. The partial differential equations governing the resulting free convection have been solved numerically in the non-dimensional forms. There arises a number of parameters relating to buoyancy, internal heating, cavity aspect ratio and inclination of the upper surface to the horizontal. The influence of these parameters has been illustrated and analyzed through contours of streamlines and isotherms. We have also discussed the role of internal heating as well as anisotropy on the heat transfer characteristics.

Effect of Newtonian heating/cooling on free convection in an annular permeable region in the presence of heat source/sink

“…Kumar and Singh 22 have presented in detail the effects of heat source/sink and induced magnetic field on the natural convective flow in vertical concentric annuli. Further works on the effect of heat source/sink on the convective flows in the presence of other physical processes are also available in the literature 23‐26 …”

“…Further works on the effect of heat source/sink on the convective flows in the presence of other physical processes are also available in the literature. [23][24][25][26] We shall now quote some more works devoted to the Newtonian heating mechanism in convection problems, which are relevant to our present study. Merkin 27 first studied the variation of Newtonian heating on the free convective boundary layer flow of a viscous fluid past a vertical flat plate.…”