Numerical study of double-diffusive natural convection in a porous cavity using the Darcy-Brinkman formulation

Goyeau, Benoı̂t; Songbe, J.-P.; Gobin, D.

doi:10.1016/0017-9310(95)00225-1

Cited by 222 publications

(126 citation statements)

References 31 publications

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“…First, the present results are consistent with previous computations, namely those of Goyeau et al [16] which deal with double-diffusive natural convection in a square porous enclosure. By taking into account the same hypotheses, Fig.…”

Section: Code Validationsupporting

confidence: 93%

“…4 illustrates the Verticalvelocity computed along the mid-plane of the enclosure for various values of the buoyancy ratio, when Fig. 5 gives the mean Nusselt and Sherwood numbers, obtained by the present work and the previous ones [16]. As we can see, the present results and those of Goyeau et al are in excellent agreement with a maximum discrepancy of about 2%.…”

Section: Code Validationsupporting

confidence: 84%

“…Goyeau et al [16] Present Predictions (a) (b) (c) In order to determine a proper grid for the numerical simulations, a grid independence study is conducted for the double-diffusive natural convection into the partitioned circular cylinder previously shown in , Le = 10, N = 10, Ra* = 100, w = 0.30.…”

Section: International Letters Of Chemistry Physics and Astronomy Vomentioning

confidence: 99%

See 2 more Smart Citations

The Impact of Cylindrical Fuel Assemblies’ Arrangement on the Heat and Mass Transfers into an Horizontal Porous Circular Cylinder

Ragui

Boutra

Benkahla

2015

ILCPA

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ABSTRACT. The present work refers to the investigation of natural convection into an horizontal porous circular cylinder, driven by cooperating thermal and solutal buoyancy forces. The circular cylinder is maintained at constant temperature and concentration lower than that of four inner, heat and solute, ones which are arranged in two different manners. 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. Through a parametric study, the effects of the distance between the cylinders on the thermal and solutal characteristics are widely inspected. Then, powerful correlations predicting the mean transfer inside the porous medium as a function of the cylinders' disposition are proposed, which predict within ±1% the numerical results. It is to note that the validity of the computing code used was ascertained by comparing our results with the experimental and the numerical ones already available in the literature.

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Section: Code Validationsupporting

confidence: 93%

Section: Code Validationsupporting

confidence: 84%

Section: International Letters Of Chemistry Physics and Astronomy Vomentioning

confidence: 99%

See 1 more Smart Citation

The Impact of Cylindrical Fuel Assemblies’ Arrangement on the Heat and Mass Transfers into an Horizontal Porous Circular Cylinder

Ragui

Boutra

Benkahla

2015

ILCPA

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“…Many studies used a Darcy model to formulate the momentum equation; see for example, Liu et al [13] Zhao et al [14], Mamou et al [15], Alloui et al [19], Trevisan and Bejan [20], Mamou et al [21], Bourich et al [22], Saeid and Pop [23], Saleh and Hashim [24], and Akbal and Baytaş [25]. For non-Darcy, see for instance, Zhao et al [12], Zhao et al [18], and Goyeau et al [26]. For an analytical study, see, for example, Bahloul et al [11], Trevisan and Bejan [27], Amahmid et al [28], and Bhadauria and Srivastava [29].…”

Section: Introductionmentioning

confidence: 99%

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

Altawallbeh

Saeid

Hashim

2013

Advances in Mechanical Engineering

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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.

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“…They imposed the boundary conditions at the vertical side walls in such a way that the thermal and solutal buoyancy effects are counteracting, resulting in an opposing gradient flow configuration. Numerical study of double-diffusive natural convection in a porous cavity using the Darcy Brinkman formulation was done by Goyeau et al (1996). They observed that the strong influence of the Darcy number on heat transfer is more complex than in thermal convection, and then the behavior of the thermosolutal flow in porous media is different from the behavior already assessed for fluids.…”

Section: Introductionmentioning

confidence: 99%

Double diffusive natural convection in power-law fluid saturated porous medium with Soret and Dufour Effects

Srinivasacharya¹,

Reddy²

2012

J. Braz. Soc. Mech. Sci. & Eng.

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Numerical study of double-diffusive natural convection in a porous cavity using the Darcy-Brinkman formulation

Cited by 222 publications

References 31 publications

The Impact of Cylindrical Fuel Assemblies’ Arrangement on the Heat and Mass Transfers into an Horizontal Porous Circular Cylinder

The Impact of Cylindrical Fuel Assemblies’ Arrangement on the Heat and Mass Transfers into an Horizontal Porous Circular Cylinder

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

Double diffusive natural convection in power-law fluid saturated porous medium with Soret and Dufour Effects

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