Non-Darcian Effects on Double-Diffusive Convection Within a Porous Medium

Karimi-Fard, Mohammad; Charrier-Mojtabi, Marie-Catherine; Vafai, Kambiz

doi:10.1080/10407789708914067

Cited by 72 publications

(32 citation statements)

References 23 publications

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“…Goyeau et al (1996) considered the double-diffusive natural convection in a porous cavity using Darcy-Brinkman formulation. Karimi-Fard et al (1997) investigated the non-Darcian effects on double-diffusive natural convection within a porous square cavity filled with a porous media. At the same time, Nithiarasu et al (1997) considered the double-diffusive natural convection in a fluid-saturated porous cavity with a freely convecting wall.…”

Section: Introductionmentioning

confidence: 99%

Double-Diffusive Mixed Convection in a Porous Open Cavity Filled with a Nanofluid Using Buongiorno’s Model

2015

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This work examines the steady double-diffusive mixed convection flow in a porous open cavity filled with a nanofluid using mathematical nanofluid model proposed by Buongiorno. The analysis uses a two-dimensional square cavity of size L with an inlet of size 0.2 · L in the bottom part of the left vertical wall and an outlet of the same size in the upper part of the right vertical wall. The mathematical problem is represented by non-dimensional governing equations along with the corresponding boundary conditions, which are solved numerically using a second-order accurate finite difference method. The developed algorithm has been validated by direct comparisons with previously published papers, and the results have been found to be in good agreement. Particular efforts have been focused on the effects of the key parameters on the fluid flow, heat and mass transfer characteristics. In addition, numerical results for the average Nusselt and Sherwood numbers are presented in tabular forms for various parametric conditions and discussed.

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Section: Introductionmentioning

confidence: 99%

Double-Diffusive Mixed Convection in a Porous Open Cavity Filled with a Nanofluid Using Buongiorno’s Model

2015

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“…Karimi-Fard et al (1997) presented a numerical study of double-diffusive free convection heat and mass transfer in a square cavity filled with a porous medium. Degan (1972) analyzed the effect of solutal and thermal dispersion on Darcian flow in porous medium.…”

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confidence: 99%

Effects of Chemical Reaction and Double Dispersion on Non-Darcy Free Convection Heat and Mass Transfer

2008

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In this article, the effects of chemical reaction and double dispersion on nonDarcy free convection heat and mass transfer from semi-infinite, impermeable vertical wall in a fluid saturated porous medium are investigated. The Forchheimer extension (nonDarcy term) is considered in the flow equations, while the chemical reaction power-law term is considered in the concentration equation. The first order chemical reaction (n = 1) was used as an example of calculations. The Darcy and non-Darcy flow, temperature and concentration fields in this study are observed to be governed by complex interactions among dispersion and natural convection mechanisms. The governing set of partial differential equations were non-dimensionalized and reduced to a set of ordinary differential equations for which Runge-Kutta-based numerical technique were implemented. Numerical results for the detail of the velocity, temperature, and concentration profiles as well as heat transfer rates (Nusselt number) and mass transfer rates (Sherwood number) are presented in graphs.

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“…The study compared the numerical analysis with a recent experimental study. Karimi Fard et al (1997) used different flow models to carry out a numerical study on double-diffusive natural convection in a square cavity filled with porous media. It is shown that the inertial and boundary effects have a profound impact on the double-diffusive convection.…”

Section: Introductionmentioning

confidence: 99%

Density Maximum Effect on Double-diffusive Natural Convection in a Porous Cavity with Variable Wall Temperature

2007

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The effect of density maximum of water on double-diffusive natural convection in a two-dimensioned cavity filled with a water saturated isotropic porous medium is studied numerically. The horizontal walls of the cavity are insulated. The opposing vertical walls are kept at different temperatures θ h (linearly varies with height) and θ c (θ c ≤ θ h ). The concentration levels at cold wall and hot wall are, respectively, c 1 and c 2 with c 1 > c 2 . Brinkman-Forchheimer extended Darcy model is used to investigate the average heat and mass transfer rates. The non-dimensional equations for momentum, energy, and concentration are solved by finite volume method with power law scheme for convection and diffusion terms. The results are presented in the form of streamlines, isotherms, and isoconcentration lines for various values of Grashof numbers, Schmidt number, porosity, and Darcy numbers. It is observed that the density maximum of water has profound effect on the thermosolutal convection. The effects of different parameters on the velocity, temperature, and species concentrations are also shown graphically.

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Non-Darcian Effects on Double-Diffusive Convection Within a Porous Medium

Cited by 72 publications

References 23 publications

Double-Diffusive Mixed Convection in a Porous Open Cavity Filled with a Nanofluid Using Buongiorno’s Model

Double-Diffusive Mixed Convection in a Porous Open Cavity Filled with a Nanofluid Using Buongiorno’s Model

Effects of Chemical Reaction and Double Dispersion on Non-Darcy Free Convection Heat and Mass Transfer

Density Maximum Effect on Double-diffusive Natural Convection in a Porous Cavity with Variable Wall Temperature

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