Natural convective heat transfer in square enclosures heated from below

Calcagni, B.; Marsili, F.; Paroncini, M.

doi:10.1016/j.applthermaleng.2004.11.032

Cited by 291 publications

(135 citation statements)

References 9 publications

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“…The theoretical analysis of Rayleigh [10] was done at the beginning of the 20th century. Natural convective heat transfer is became an interesting field of study phenomenon [11].…”

Section: Validation Of the Codementioning

confidence: 99%

A Study on Natural Convection of Air in a Square Cavity with Partially Thermally Active Side Walls

Kane¹,

Mbow²,

Sow³

et al. 2017

OJFD

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In this present work, we study heat transfer in a confined environment. We have to determine the thermal and dynamics fields of the cavity while observing the effect of the Rayleigh number which depends on the characteristics of the fluid and the temperatures imposed. The behavior of boundary layers in natural convection is analyzed along this square cavity. The central halves of its vertical walls are heated at different temperatures. The left active part is at a higher temperature than the one on the right wall. The remaining inactive parts and the horizontal walls (upper and lower) are adiabatic. The thermal and dynamic modeling of two-dimensional problem was done using a calculation code Fortran 90 and a visualization software ParaView based on the finite volume method. The equations governing this phenomenon of unsteady flow have thus been solved. This allows the modeling of both air flow and heat transfer with a numerical stabilization of the solution. So, we have presented our results of numerical simulations using a visualization tool. The results show the different velocity and temperature curves, velocity vectors and isotherms in laminar flow regime.

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“…The theoretical analysis of Rayleigh [10] was done at the beginning of the 20th century. Natural convective heat transfer is became an interesting field of study phenomenon [11].…”

Section: Validation Of the Codementioning

confidence: 99%

A Study on Natural Convection of Air in a Square Cavity with Partially Thermally Active Side Walls

Kane¹,

Mbow²,

Sow³

et al. 2017

OJFD

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“…In fact, the origin of this complexity is attributed to the occurrence of many levels of instabilities (onset of convection, transitions towards single and multiple periodic regimes, transition towards chaotic regimes ...) and eventual existence of multiplicity of solutions, characterized by their 1 on the shape of the confining configuration and the imposed boundary conditions, whose combination control the generated flow structure and temperature distribution within the systems under study. Although the phenomenon of Rayleigh-Bénard convection in rectangular configurations was the subject of many previous works (Pallares et al, 1999;Calgagni et al, 2005;Kao and Yang, 2007;Platten et al, 2007, Raji et al, 2013, the topic remains an attractive field of investigation. In fact, further understanding of the system behaviors are required, mainly, when thermal excitations on the sidewalls are changed from adiabatic or periodic conditions to linear imposed temperatures.…”

Section: Introductionmentioning

confidence: 99%

MRT-LBM Simulation of Natural Convection in a Rayleigh-Benard Cavity With Linearly Varying Temperatures on the Sides: Application to a Micropolar Fluid

Mansouri¹,

Hasnaoui²,

Amahmid³

et al. 2017

Frontiers in Heat and Mass Transfer

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A two-dimensional numerical simulation is conducted to study natural convection flow and heat transfer characteristics in a square cavity filled with a micropolar fluid. The lower and upper walls of the cavity are respectively subject to isothermal heating and cooling while the temperatures of both vertical sides decrease linearly in the upwards direction. The Lattice-Boltzmann Method (LBM), with the multi-relaxation time (MRT) scheme for the collision process, is used to solve the problem with the objective to assess the ability and efficiency of this numerical method to describe the micropolar fluid behavior under the effect of the imposed thermal boundary conditions. Computations are carried out for Rayleigh number, , and material parameter (vortex viscosity), , varying respectively in the ranges 10 3  10 6 and 0 2. Combined effects of these parameters on the multiplicity of solutions and critical values of from which transitions occur are investigated for Pr 7. An increase of the material parameter is shown to increase the critical Rayleigh numbers, which confirms the stabilizing effect of the micropolar fluid compared to the Newtonian case ( 0). The study covers both steady and unsteady aspects of the problem under consideration. Initial perturbations play an important role in the cooling process of the hot bottom wall in the present configuration. The bicellular ascending and descending flows are two solutions mirror images of each other but they lead to very different quantities of heat from the bottom wall.

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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 convective heat transfer in square enclosures heated from below

Cited by 291 publications

References 9 publications

A Study on Natural Convection of Air in a Square Cavity with Partially Thermally Active Side Walls

A Study on Natural Convection of Air in a Square Cavity with Partially Thermally Active Side Walls

MRT-LBM Simulation of Natural Convection in a Rayleigh-Benard Cavity With Linearly Varying Temperatures on the Sides: Application to a Micropolar Fluid

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

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