Magnetic Field Effect on Natural Convection in a Porous Cavity Heating from below and Salting from Side

Abstract

The effect of magnetic field on double-diffusive natural convection in a square cavity filled with a fluid-saturated porous medium is studied numerically. The bottom wall is fully heated at a constant temperature, and the top wall is maintained at a constant cold temperature. The right wall is fully salted to a high concentration, while the left wall is fully salted at a lower concentration than the right one. A magnetic force is applied on the cavity along the gravity force direction. The Darcy model is used for the mathematical formulation of the fluid flow through porous media. The governing equations for heat and mass transfer are solved using the finite volume method. The governing parameters of the present study are Rayleigh number (Ra), Lewis number (Le), buoyancy ratio (N), and Hartmann number (Ha). The numerical solutions were studied in the range of −10 ≤ ≤ 10, 0 ≤ Ha ≤ 10, 50 ≤ Ra ≤ 500, and 10 −4 ≤ Le ≤ 10. The results were discussed considering the effect of these parameters on the heat and mass transfer processes. The results were presented in terms of streamlines, isotherms, isoconcentration, average Nusselt number, and average Sherwood number for different values of the governing parameters. In general, it has been found that the increase of magnetic force has an effect to retard the strength of the flow inside the cavity and reduce the heat and mass transfer processes. For high Hartmann number, the flow is almost suppressed.

Cu-Water Nanofluid MHD Quadratic Natural Convection on Square Porous Cavity

“…The investigation reveals that the inclination angle is totally responsible for a change in the flow behavior and a higher thermal amplitude ratio hikes the heat transfer rate. Altawallbeh et al [17] focused on analyzing natural convective flow on the porous cavity under the magnetic field effects. The cavity used in the analysis is heated from the bottom and salted from the right.…”

Heat and mass transfer characteristics of double‐diffusive natural convection in a porous annulus: A higher‐order compact approach

“…Altawallbeh et al 22 numerically studied DDNC in a square porous enclosure when the bottom wall was partially heated and the right wall was partially salted. Altawallbeh et al 23 also numerically investigated the effect of magnetic field on 2D DDNC in a square porous cavity, the top wall of which was colder than the bottom wall, and the right wall maintained at a higher concentration than the left wall. Mondal and Sibanda 24 used a finite-difference method based on a staggered grid to study the effects of buoyancy ratio on unsteady DDNC in a square cavity filled with porous medium subjected to nonuniform boundary conditions.…”

Instabilities of horizontal magnetoconvection with rotating fluid in a sparsely packed porous media

“…In case of significant macroscopic and shear inertial effects, Darcy Lapwood Brinkman equation is well enough to describe the fluid flow in a porous medium. Detailed investigations on thermal instability of horizontal fluid layer which is heated from below through a porous medium under the influence of a uniform magnetic field were presented by Sharma and Thakur, 7 Anwar et al, 8 Wang et al, 9 Srivastava et al, 10 Altawallbeh et al, 11 and Harfash et al 12 Linear and nonlinear stability analysis onset of convection through sparsely packed porous medium with Darcy Lapwood Brinkman model is studied by Tagare, 13,14 Benerji et al [15][16][17][18] and Shivakumara et al 19 In this paper, we studied Rayleigh Benard convection with the effects of vertical axis of rotation and horizontal magnetic field in a sparsely packed porous medium. Traveling and standing waves in magneto convection in a nonporous medium studied by Matthews et al 20 The basic equations and boundary conditions are discussed in section 2.…”

“…from Equation (8) and z-component of Equations (9), (10), (11) and (12), we obtain a single equation is in the form…”