Abstract
The present work refers to the study of natural convection into a confined porous medium, driven by cooperating thermal and solutal buoyancy forces. The side walls are maintained at a uniform temperature and concentration, lower than that of a heat and solute source, which located at the center of the bottom wall, the rest of the horizontal walls are kept insulated. The physical model for the momentum conservation equation makes use of the Brinkman extension of the classical Darcy equation, the set of coupled equations is solved using the finite volume method and the SIMPLER algorithm. To account for the effects of the main parameters such the buoyancy ratio, the Lewis and porous thermal Rayleigh numbers, as well as the source length, heat and mass transfer characteristics are widely inspected and then, new powerful correlations are proposed, which predict within ±1% the numerical results. Note that the validity of the used code was ascertained by comparing our results with experimental data and numerical ones already available in the literature.
Highlights
A few years later, Bennacer [17] suggested a general correlation for the mass transfer, which can be used in a wide range of porous thermal Rayleigh number, buoyancy ratio, and Lewis number as well
The main purpose of the current work is to complete these cases by investigating the double-diffusive natural convection within a cold sides porous square, which including a heat and solute source located at the center of its bottom wall
As the momentum equation is formulated in terms of the primitive variables (U, V and P ), the iterative procedure includes a pressure correction calculation method, namely SIMPLER [18] to solve the pressurevelocity coupling
Summary
Over the past four decades, double-diffusive natural convection analysis into a porous medium has been the subject of a very intense research activity, due to the importance of related industrial and contemporary technological applications such grain storage installation; geothermal energy resources; petroleum reservoirs; pollutant dispersion in aquifers; fibrous insulating materials, electrochemical processes, and some modes of assisted oil recuperation [1].With both temperature and concentration gradients present to drive the fluid flow, an increased number of transport configurations was possible, with parallel or perpendicular gradients, and the body forces augmenting or opposing [2].Several experimental [3,4,5,6] and numerical investigations [7,8,9,10] caused by horizontal thermal and solutal gradients have been done. Over the past four decades, double-diffusive natural convection analysis into a porous medium has been the subject of a very intense research activity, due to the importance of related industrial and contemporary technological applications such grain storage installation; geothermal energy resources; petroleum reservoirs; pollutant dispersion in aquifers; fibrous insulating materials, electrochemical processes, and some modes of assisted oil recuperation [1]. With both temperature and concentration gradients present to drive the fluid flow, an increased number of transport configurations was possible, with parallel or perpendicular gradients, and the body forces augmenting or opposing [2]. A few years later, Bennacer [17] suggested a general correlation for the mass transfer, which can be used in a wide range of porous thermal Rayleigh number, buoyancy ratio, and Lewis number as well
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