Double-diffusive natural convection in a porous enclosure partially heated from below and differentially salted

Bourich, M.; Hasnaoui, M.; Amahmid, A.

doi:10.1016/j.ijheatfluidflow.2004.01.003

Cited by 51 publications

(30 citation statements)

References 18 publications

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“…The performance of the doublediffusive convection was tested against the results of Goyeau et al (1996) and Bourich et al (2004) for steady-state double-diffusive natural convection in a porous cavity differentially heated and salted. Table 2 shows the values of the average Nusselt and Sherwood numbers computed for various Rayleigh and Lewis numbers at Nc = 0 in comparison with data of Goyeau et al (1996) and Bourich et al (2004).…”

Section: Basic Equationsmentioning

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: Basic Equationsmentioning

confidence: 99%

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

2015

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“…Further, N is zero for non-species effect and infinite for solute-dominated effect. Combined global heat and solute flows and negative values of parameter N can lead to multiple solutions or oscillatory solutions (Mamou et al 1995;Chamkha and Al-Naser 2001;Mamou 2002;Bourich et al 2004;Liu et al 2006b), such situations are intentionally avoided in the present work. From the aforementioned boundary conditions and geometry of the enclosure, it appears that the present problem is simultaneously governed by additional three dimensionless geometry parameters, which are defined, respectively as,…”

Section: Physical Model and Problem Statementsmentioning

confidence: 99%

“…To further validate the present numerical code, the double diffusive natural convection in square uniform porous enclosure, where the two vertical walls are maintained at uniform and different temperatures and concentrations, has been numerically analyzed for R t = 10 2 −−2.0 × 10 3 , Le = 10, 100, and N = 0 (heat-transfer- Goyeau et al (1996), Bennacer et al (2001), and Bourich et al (2004) for the case of isotropic porous media on heat-transfer-driven flows (N = 0, AR = 1, B = 1) driven flows). In general, the results presented in Table 1 are in good agreement with those of Goyeau et al (1996), Bennacer et al (2001), and Bourich et al (2004). The accuracy of the numerical code is also checked with the steady results reported by Mamou et al (1995) in the case of double diffusive convection within a square porous enclosure subject to horizontal and uniform heat and mass fluxes.…”

Section: Numerical Technique and Code Validationmentioning

confidence: 99%

“…Though it has been received extensive attentions in pure natural convection heat transfer (as mentioned above) and for enclosures subject to cross gradients of temperature and concentration (Bourich et al 2004;Liu et al 2006a, b), there are no published results about the double diffusive natural convection in a vertical porous enclosure partially heated and salted from one side.…”

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confidence: 99%

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Free convection from one thermal and solute source in a confined porous medium

2007

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This paper reports a numerical study of double diffusive natural convection in a vertical porous enclosure with localized heating and salting from one side. The physical model for the momentum conservation equation makes use of the Darcy equation, and the set of coupled equations is solved using the finite-volume methodology together with the deferred central difference scheme. An extensive series of numerical simulations is conducted in the range of −10 N +10, 0 R t 200, 10 −2 Le 200, and 0.125 L 0.875, where N, R t , Le, and L are the buoyancy ratio, Darcy-modified thermal Rayleigh number, Lewis number, and the segment location. Streamlines, heatlines, masslines, isotherms, and iso-concentrations are produced for several segment locations to illustrate the flow structure transition from solutal-dominated opposing to thermal dominated and solutal-dominated aiding flows, respectively. The segment location combining with thermal Rayleigh number and Lewis number is found to influence the buoyancy ratio at which flow transition and flow reversal occurs. The computed average Nusselt and Sherwood numbers provide guidance for locating the heating and salting segment.

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“…Some studies, for example, Zhao et al [18] and Alloui et al [19], looked at double-diffusive natural convection in boundary conditions of heating and salting from below. 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].…”

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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Double-diffusive natural convection in a porous enclosure partially heated from below and differentially salted

Cited by 51 publications

References 18 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

Free convection from one thermal and solute source in a confined porous medium

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

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