Natural convection from a discrete heat source on the bottom of a horizontal enclosure

Sezai, I.; Mohamad, A. A.

doi:10.1016/s0017-9310(99)00304-x

Cited by 107 publications

(46 citation statements)

References 17 publications

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“…The governing equations (1)(2)(3)(4)(5) are solved by a finite-volume method using general purpose CFD software [13]. Pressure-velocity coupling between the incompressible Navier-Stokes and continuity equations is solved using SIMPLE algorithm.…”

Section: Numerical Approachmentioning

confidence: 99%

“…The majority of the published studies can be classified into two groups: enclosures heated from below and cooled from above (Rayleigh-Bénard problem) and differentially heated enclosures. Other articles on the topic published after 1988 show a relatively big interest in the studies of convective phenomena in cavities heated from below and cooled with different kinds of boundary conditions [3]- [5]. Towards effect of fluid properties on heat transfer, Emery and Lee [6] studied the effect of fluid property variations on the natural convection in a square enclosure with different boundary conditions on the sidewalls.…”

Section: Introductionmentioning

confidence: 99%

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Studies on Convective Cooling of Cryogenic Fluids Towards Superconducting Applications

Satpathy

Dubois

Duchesne

et al. 2017

Computational Methods and Experimental Measurements XVIII

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To understand the cooling aspect through natural convection in a cryogenic fluid interacting with a constant heat source, numerical simulations are carried out in a parallelepiped enclosure. The 3D form of N-S equations is solved to obtain the detailed flow features through path line profiles, isotherm contours and velocity vectors. The effect of heater aspect ratio (x/L) on the rate of heat transfer is studied in terms of the average Nusselt number (Nuave). The results indicate that effective heat transfer enhancement occurs for a small heater length, resulting in an efficient cooling. Increasing the heater length will favor heat transfer through conduction over convection. The maximum temperature difference across the fluid and the velocity magnitude are found to decrease with heater length. 3D and 2D results are in agreement for short heater lengths, but vary for higher heater lengths, presumably due to the essential effect of the heater width. Further analysis on different types of coolant reveals a constant correlation between Nuave and the Rayleigh number (Ra), with Nuave ~ Ra 0.374 . Benchmark validation for natural convection in a square enclosure is found to be satisfactory against the reported results.

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Section: Numerical Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Studies on Convective Cooling of Cryogenic Fluids Towards Superconducting Applications

Satpathy

Dubois

Duchesne

et al. 2017

Computational Methods and Experimental Measurements XVIII

View full text Add to dashboard Cite

show abstract

“…Natural convection in cavities heating from below and cooling from the side walls as well as heating from one side and cooling from ceiling has been studied by Aydin et al [9][10], Sharif and Mohammad [11]. Sezai and Mohammad [12] studied the natural convection from a discrete heat source on the bottom of horizontal enclosure. Following de Vahl Davis [2], Dixit and Babu [13] have recently investigated natural convection of air in square cavity by using the lattice Boltzmann method.…”

Section: Introductionmentioning

confidence: 99%

Natural Convection Flow in A Square Cavity with Temperature Dependent Heat Generation

Habiba¹

2017

IOSR JM

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“…For some related problems with just a heat effect (pure convection) from below, see, for example, Elder [6], Robillard et al [7], Sezai and Mohamad [8], and Calcagni et al [9], and for heat and mass transfer effect see, for example, Bejan and Khair [10]. The review of the literature on double-diffusive natural convection in fluids filled with a porous medium shows that most of studies focus on the thermosolutal effect inside cavities or enclosures where different boundary conditions apply.…”

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 heat source on the bottom of a horizontal enclosure

Cited by 107 publications

References 17 publications

Studies on Convective Cooling of Cryogenic Fluids Towards Superconducting Applications

Studies on Convective Cooling of Cryogenic Fluids Towards Superconducting Applications

Natural Convection Flow in A Square Cavity with Temperature Dependent Heat Generation

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

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