Natural Convection from a Discrete Heater in a Square Cavity Filled with a Porous Medium

Saeid, Nawaf H.; Pop, Ioan

doi:10.1615/jpormedia.v8.i1.50

Cited by 78 publications

(46 citation statements)

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“…Further, the present numerical procedure is validated for a porous medium case where a porous square cavity, with air (Pr ¼ 0.71) as fluid, is heated isothermally on the left wall while the right wall is maintained cold isothermal and the horizontal walls are maintained adiabatic, similar to the problem reported by Bejan [49], Manole and Lage [50], Saeid and Pop [51], and Baytas and Pop [52]. The comparison of average Nusselt number with the results reported earlier at modified Rayleigh number, Ra m ¼ 1000 where Ra m ¼ Ra Â Da, are presented in Table 1.…”

Section: Numerical Procedures and Validationmentioning

confidence: 89%

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Entropy Generation During Natural Convection in a Porous Cavity: Effect of Thermal Boundary Conditions

Basak

Kaluri

Balakrishnan

2012

Numerical Heat Transfer, Part A: Applications

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Entropy generation plays a significant role in the overall efficiency of a given system, and a judicious choice of optimal boundary conditions can be made based on a knowledge of entropy generation. Five different boundary conditions are considered and their effect of the permeability of the porous medium, heat transfer regime (conduction and convection) on entropy generation due to heat transfer, and fluid friction irreversibilities are investigated in detail for molten metals (Pr ¼ 0.026) and aqueous solutions (Pr ¼ 10), with Darcy numbers (Da) between 10 À5 -10 À3 and at a representative high Rayleigh number, Ra ¼ 5 Â 10 5 . It is observed that the entropy generation rates are reduced in sinusoidal heating (case 2) when compared to that for uniform heating (case 1), with a penalty on thermal mixing. Finally, the analysis of total entropy generation due to variation in Da and thermal mixing and temperature uniformity indicates that, there exists an intermediate Da for optimal values of entropy generation, thermal mixing, and temperature uniformity.

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Section: Numerical Procedures and Validationmentioning

confidence: 89%

“…Effects of thermal boundary conditions, such as sinusoidal heating and discrete heating, are reported in the literature [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation During Natural Convection in a Porous Cavity: Effect of Thermal Boundary Conditions

Basak

Kaluri

Balakrishnan

2012

Numerical Heat Transfer, Part A: Applications

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“…Bejan [4] 15.800 Goyeau et al [5] 13.470 Gross et al [6] 13.448 Manole and Lage [7] 13.637 Saeid and Pop [8] 13.726 Baytas and Pop [9] 14.060 This study 13.564 solution of linear algebraic equations was performed using successive under relaxation (SUR) method. The following convergence criterion is employed for termination of procedure…”

Section: Tablementioning

confidence: 99%

“…In the past years, most of the researchers focused on investigation of natural convection in porous square or rectangular enclosures with constant temperature or heat flux boundary conditions as reported in the literature by Bejan [4], Goyeau et al [5], Gross et al [6], Manole and Lage [7], Saeid and Pop [8], Baytas and Pop [9]. However, non-isothermal boundary conditions are also faced in practice.…”

Section: Introductionmentioning

confidence: 99%

Visualization of natural convection heat transport using heatline method in porous non-isothermally heated triangular cavity

Varol¹,

Öztop²,

Mobedi³

et al. 2008

International Journal of Heat and Mass Transfer

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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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Natural Convection from a Discrete Heater in a Square Cavity Filled with a Porous Medium

Cited by 78 publications

References 0 publications

Entropy Generation During Natural Convection in a Porous Cavity: Effect of Thermal Boundary Conditions

Entropy Generation During Natural Convection in a Porous Cavity: Effect of Thermal Boundary Conditions

Visualization of natural convection heat transport using heatline method in porous non-isothermally heated triangular cavity

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

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