Influence of thermal radiation on non-Darcian natural convection in a square cavity filled with fluid saturated porous medium of uniform porosity

Abstract

Influence of thermal radiation on natural-convection flow in a square cavity filled with a porous medium of uniform porosity having isothermal vertical walls and adiabatic horizontal walls, has been studied numerically by using finite-difference method with staggered grid distribution. The simulation is performed by considering both Darcian and non-Darcian models. Governing momentum and energy equations are solved numerically to obtain velocity and temperature fields for various values of different physical parameters. It is seen that increasing the thermal radiation parameter enhances the local Nusselt number on the left vertical wall whereas the reverse effects are observed due to increase in the heat generating parameter when Ra = 109. The temperature at the mid-horizontal plane decreases with increase in the value of Rayleigh number up to a certain distance from the left vertical wall and beyond that distance the opposite trend is observed. The temperature at the mid-horizontal plane increases with increase in the value of heat generating parameter.

Cavity inclination effect on convection flow in a triangular geometry

“…As a result, numerical simulations became a tool of choice in that field, in particular for complex problems without or with limited experimental data. In recent decades, many studies have focused on the numerical modeling of physical and chemical systems, including flows in magnetohydrodynamics, 1–3 heat transfer problems, 4–6 and porous media 7–9 . Due to its vast range of applications in many industrial and residential systems, several studies on natural convection have been published in the literature 10,11 .…”

“…In the literature, this issue with cavities of various forms has frequently been discussed, such as the cubic cavity, 14 the square cavity, 15–17 and the triangular cavity 12,18 . Thus, many engineering problems have been analyzed numerically 19–21 and experimentally 22 …”

“…In recent decades, many studies have focused on the numerical modeling of physical and chemical systems, including flows in magnetohydrodynamics, [1][2][3] heat transfer problems, [4][5][6] and porous media. [7][8][9] Due to its vast range of applications in many industrial and residential systems, several studies on natural convection have been published in the literature. 10,11 Natural convection analysis in enclosures is of interest in a variety of applications, including home heating, solar collectors, cryogenic storage, crystal growth, nuclear reactor design, furnace design, and electronic equipment.…”

Analysis on Rheology of Unsteady Casson Fluid Flow through an Atherosclerotic Lesion

“…The effect of the aligned magnetic field on Williamson's nanofluid on a stretching surface with convective boundary conditions is investigated numerically in [20]. To investigate the effects of radiation, on the heat and mass transfer of magneto-Casson fluid over a vertical permeable plate by using FEM method has been observed in [21]. Tangent hyperbolic nanofluid flow over an electromagnetic surface with velocity slip and heat source are studied in [22].…”

A Mixed Formulation for a Modification to Darcy Equation Based on Picard Linearization and Numerical Solutions to Large-Scale Realistic Problems

“…Bowen has outlined various models for flow through porous media allowing multiple fluid components and deformation of the porous solid [3]. Recent extensions of Darcy equation can be found in references [9][10][11]. A hierarchy of models for flow through porous media has been presented in [4] of which the simplest model is Darcy equation.…”