Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls

Sharif, M. A. R.; Mohammad, Taquiur Rahman

doi:10.1016/j.ijthermalsci.2005.02.006

Cited by 145 publications

(77 citation statements)

References 16 publications

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“…An Alternating Direction Implicit (ADI) technique and Successive Over Relaxation (SOR) method are employed to solve the discretized equations as reported in [5]. The results obtained by the code developed were validated against those of Zhong et al [3] and Oztop et al [14] for ITBC and Sharif et al [18] for IFBC (see Fig. 2(b)).…”

Section: Mathematical Analysismentioning

confidence: 98%

“…They observed that, for the square cavity, the flow and thermal fields are not strongly affected by the isothermal or constant heat flux boundary condition at the bottom heat source. Recently, Sharif and Mohammad [18] performed a numerical study of natural convection in a rectangular cavity with constant flux at the bottom and symmetrically cooled from the vertical walls. They found that at lower Grashof number, diffusion is the dominating heat transfer mechanism whereas at higher Grashof number buoyancy convection is dominating.…”

Section: Introductionmentioning

confidence: 99%

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Buoyancy convection in a cavity with mutually orthogonal heated plates

Saravanan

Kandaswamy

Lee

2008

Computers & Mathematics with Applications

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Buoyancy driven convection in a square cavity induced by two mutually orthogonal arbitrarily placed heated thin plates is studied numerically under isothermal and isoflux boundary conditions. The flow is assumed to be two-dimensional. The coupled governing equations were solved by the finite difference method using the Alternating Direction Implicit technique and Successive Over Relaxation method. The steady state results are depicted in terms of streamline and isotherm plots. It is found that the resulting convection pattern is stronger for the isothermal boundary condition. A better overall heat transfer can be achieved by placing one of the plates far away from the center of the cavity for isothermal boundary condition and near the center of the cavity for isoflux boundary condition.

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Section: Mathematical Analysismentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Buoyancy convection in a cavity with mutually orthogonal heated plates

Saravanan

Kandaswamy

Lee

2008

Computers & Mathematics with Applications

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“…Therefore, 151×151 grid size is approved to be sufficient to resolve the velocity and temperature fields for the related case. [16], Ambarita [17] . The results are found to be good agreement with these solutions.…”

Section: Numerical Proceduresmentioning

confidence: 99%

Buoyancy and Thermocapillary Driven Flows in an Open Cavity With Bottom Heating and Symmetrical Cooling From Sides

Nithyadevi¹,

Begum²,

Shankar³

2015

IJHT

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In this study, the effect of thermocapillary and buoyancy driven flows in an open cavity filled with fluid is numerically examined. A physical configuration is encountered where a constant heating element at the bottom wall and cooled from the sidewalls while the top wall can be considered free surface. The length of the heat source is varied from 20 to 100% of t he total length of the bottom wall and remaining parts are adiabatic. The governing equations are discretized by finite volume method with power law scheme and solved numerically by SIMPLE algorithm. The effects of dimensionless heat source on flow and heat transfer are studied. The detailed flow pattern and heat transfer characteristics inside the cavity presented in the form of streamlines, isotherms, velocity profiles and average Nusselt number for different values of Grashof number and Marangoni number.

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“…The study of convective heat transfer of conventional heat-transfer fluids in confined spaces has drawn an enormous attention of researchers for a long period of time due to its wide variety of the engineering and industrial applications (such as solar collectors, nuclear reactors, and food processing) [1][2][3][4][5][6][7][8][9][10][11][12]. However, conventional heat-transfer fluids (such as water, ethylene glycol, and engine oil) have limited capabilities in term of thermal properties.…”

Section: Introductionmentioning

confidence: 99%

Constructal Design of a Rectangular Fin in a Mixed Convective Confined Environment

et al. 2018

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Extended surfaces or fins offer an efficient solution in many engineering situations that demand a higher heat transfer, including cooling gas-turbine components and electronic chips via internal convective flows. However, fins require a higher active surface area for higher heat transfer, which may not be always feasible in a confined environment. A feasible solution to enhance heat transfer from fins can be the use of nanofluids, which are the combination of a fluid base and nanoparticles. The main purpose of this study is, therefore, to optimize a rectangular fin intruded into the mixed convective confined space filled with a nanofluid and by means of constructal design. Here, a two-dimensional macroscopic numerical model has been developed for Al 2 O 3 -water nanofluid to investigate the heat transfer and fluid flow inside a square confined-space with an intruded rectangular fin and to optimize the fin geometry for maximizing the heat transfer using the constructal design method. The flow fields, temperature fields, heat transfer rates, and the transition from forced to mixed convection are examined for different values of Rayleigh and Reynolds numbers for various fin geometries in order to maximize the heat transfer from the fin to the surrounding nanofluid flow. The outcome of this study provides important insights into the constructal design method for the confined environment, which would be beneficial in developing novel fin geometries with enhanced and controlled heat-transfer for engineering problems, including cooling gas-turbine components and electronic chips.

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Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls

Cited by 145 publications

References 16 publications

Buoyancy convection in a cavity with mutually orthogonal heated plates

Buoyancy convection in a cavity with mutually orthogonal heated plates

Buoyancy and Thermocapillary Driven Flows in an Open Cavity With Bottom Heating and Symmetrical Cooling From Sides

Constructal Design of a Rectangular Fin in a Mixed Convective Confined Environment

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