Boundary layer and stability analysis of natural convection in a porous cavity

Bahloul, Ali

doi:10.1016/j.ijthermalsci.2005.10.003

Cited by 16 publications

(6 citation statements)

References 28 publications

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“…The calculation procedure for each time step was repeated until the following criteria were satisfied: e was set to 10 À5 in the numerical computations reported in this paper and the time step was chosen to be as small as 10 À5 (for small Rayleigh numbers) and 10 À6 (for Ra > 1000) to obtain accurate results. The developed code was checked with the literature benchmark [17,18] and the results were in excellent agreement with the published simulations independent of the number of grid cells.…”

Section: Solution Proceduressupporting

confidence: 62%

Numerical Simulation of Density-Driven Natural Convection in Porous Media with Application for CO2 Injection Projects

et al. 2007

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In this paper we investigate the mass transfer of CO 2 injected into a homogenous (sub)-surface porous formation saturated with a liquid. In almost all cases of practical interest CO 2 is present on top of the liquid. Therefore, we perform our analysis to a porous medium that is impermeable from sides and that is exposed to CO 2 at the top. For this configuration density-driven natural convection enhances the mass transfer rate of CO 2 into the initially stagnant liquid. The analysis is done numerically using mass and momentum conservation laws and diffusion of CO 2 into the liquid. The effects of aspect ratio and the Rayleigh number, which is dependent on the characteristics of the porous medium and fluid properties, are studied. This configuration leads to an unstable flow process. Numerical computations do not show natural convection effects for homogeneous initial conditions. Therefore a sinusoidal perturbation is added for the initial top boundary condition. It is found that the mass transfer increases and concentration front moves faster with increasing Rayleigh number. The results of this paper have implications in enhanced oil recovery and CO 2 sequestration in aquifers.

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Section: Solution Proceduressupporting

confidence: 62%

Numerical Simulation of Density-Driven Natural Convection in Porous Media with Application for CO2 Injection Projects

et al. 2007

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“…He pointed out the amplification in Darcy and Grashof numbers stimulates the impact of convection heat transfer on total energy transport. Bahloul 28 explored the buoyancy effect and the aspect ratio on free convection through a rectangular porous medium. He maintained the enclosure's vertical boundaries at different temperatures, and the horizontal boundaries were maintained adiabatically, and for a larger aspect ratio, the flow was parallel to the cavity.…”

Section: Introductionmentioning

confidence: 99%

Double‐diffusive flow in a porous right‐angle trapezoidal enclosure with constant heat flux

Khan

Qasim

et al. 2021

Math Methods in App Sciences

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A computation analysis is performed to study double‐diffusive natural convection in a right‐angle trapezoidal cavity packed with a porous medium. The horizontal top and bottom boundaries are insulated and impermeable. The vertical left sidewall is kept at a constant heat flux and high concentration, whereas the inclined sidewall is held at lower temperature and concentration. The dimensionless nonlinear system is solved by employing the finite difference method along the successive Under Relaxation technique. The findings are compared and validated with the existing literature for the Darcy flow driven through a single buoyancy effect (difference in density is only due to temperature variations) in a porous square enclosure. The numerical results are expressed in the form of streamlines, isotherms and iso‐concentrations, and local and average Nusselt and Sherwood numbers. It is observed that the buoyancy parameter reduces the dimensionless temperature of the cavity and increases the dimensionless concentration due to the strong impact of buoyancy. Smaller values of the Lewis number enhance heat transfer, whereas higher values reduce it. Moreover, the Rayleigh number and buoyancy parameter enhance both surface heat and concentration rates.

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“…Both thermal conductivity and Darcy number have great influence on heat convection central cells. Bahloul [9] studied fluid flow in a vertical cavity with porous media. The vertical walls were differentially heated whereas the horizontal walls were kept adiabatic.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Natural Convection in Porous Media for Thermal Storage Using Darcy-Brinkman-Forcheimer Formulation

Belhadj¹,

Atia²,

Benchatti³

2020

MMEP

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This numerical study deals with heat convection in a porous media. The heat transfer is modeled using Darcy-Brinkman-Forcheimer formulation. A CFD code based on the finite volume method is used to solve the mathematical set of equations governing air flow and convective heat transfer in the porous media. The numerical predictions are validated by comparison with results available in the literature. Parameters governing heat transfer and fluid flow are investigated (Rayleigh number, Darcy number and porosity). Increasing Rayleigh and Darcy numbers resulted in enhancing the heat transfer rate but the convective heat transfer rate decreased with increasing porosity.

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Boundary layer and stability analysis of natural convection in a porous cavity

Cited by 16 publications

References 28 publications

Numerical Simulation of Density-Driven Natural Convection in Porous Media with Application for CO2 Injection Projects

Numerical Simulation of Density-Driven Natural Convection in Porous Media with Application for CO2 Injection Projects

Double‐diffusive flow in a porous right‐angle trapezoidal enclosure with constant heat flux

Analysis of Natural Convection in Porous Media for Thermal Storage Using Darcy-Brinkman-Forcheimer Formulation

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