Numerical study of flow and heat transfer in differentially heated enclosures

Chang, Byong Hoon

doi:10.2298/tsci110626007c

Cited by 13 publications

(9 citation statements)

References 26 publications

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“…Figure 8(b) reveals that in addition to the main large circulation, two small prominent circulations are observed at diagonally opposite corners for 0 < / < / Ã and these corner circulations increase in size with increasing / for the inclination angle ranging from 0 to / Ã . A similar behavior was reported earlier by other authors [31]. A comparison between Figs.…”

Section: Quantitiessupporting

confidence: 91%

“…Here, / Ã is found to remain between 5 deg and 9 deg but the precise value of / Ã is dependent on the value of Ra, which is in contrast to previous findings [2][3][4][5][6][7]30] where / Ã is predicted to be about 25 deg. However, recent numerical results by Chang [31] have also reported / Ã < 25 deg and numerical results by Khezzar et al [7] did not show any local minimum of Nu with / variation. The discontinuity in Nu at / ¼ / Ã takes place due to the change in cell structure between 0 < / < / Ã and / > / Ã .…”

Section: Quantitiesmentioning

confidence: 87%

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Laminar Natural Convection of Bingham Fluids in Inclined Differentially Heated Square Enclosures Subjected to Uniform Wall Temperatures

Yiğit

Poole

Chakraborty

2015

Journal of Heat Transfer

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The effects of inclination 180 deg ! / ! 0 deg on steady-state laminar natural convection of yield-stress fluids, modeled assuming a Bingham approach, have been numerically analyzed for nominal values of Rayleigh number Ra ranging from 10 3 to 10 5 in a square enclosure of infinite span lying horizontally at / ¼ 0 deg, then rotated about its axis for / > 0 deg cases. It has been found that the mean Nusselt number Nu increases with increasing values of Rayleigh number but Nu values for yield-stress fluids are smaller than that obtained in the case of Newtonian fluids with the same nominal value of Rayleigh number Ra due to the weakening of convective transport. For large values of Bingham number Bn (i.e., nondimensional yield stress), the mean Nusselt number Nu value settles to unity (Nu ¼ 1:0) as heat transfer takes place principally due to thermal conduction. The mean Nusselt number Nu for both Newtonian and Bingham fluids decreases with increasing / until reaching a local minimum at an angle / Ã before rising with increasing / until / ¼ 90 deg. For / > 90 deg the mean Nusselt number Nu decreases with increasing / before assuming Nu ¼ 1:0 at / ¼ 180 deg for all values of Ra. The Bingham number above which Nu becomes unity (denoted Bn max ) has been found to decrease with increasing / until a local minimum is obtained at an angle / Ã before rising with increasing / until / ¼ 90 deg. However, Bn max decreases monotonically with increasing / for 90 deg < / < 180 deg. A correlation has been proposed in terms of /, Ra, and Bn, which has been shown to satisfactorily capture Nu obtained from simulation data for the range of Ra and / considered here.

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Section: Quantitiessupporting

confidence: 91%

Section: Quantitiesmentioning

confidence: 87%

Laminar Natural Convection of Bingham Fluids in Inclined Differentially Heated Square Enclosures Subjected to Uniform Wall Temperatures

Yiğit

Poole

Chakraborty

2015

Journal of Heat Transfer

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“…The finite difference method is used to discretize eqs. 7and (8) subject to boundary conditions (9). The discretized equations are solved using the Successive-Under Relaxation (SUR) method.…”

Section: Solution Procedures and Code Validationmentioning

confidence: 99%

“…These studies provide good understanding in circulation of cardiovascular system, design of solar collectors and geothermal systems. There are plenty of studies in enclosures with different geometries [1][2][3] under various conditions, like, radiation [4], external magnetic field [5], aspect ratio [6], variable fluid properties [7,8], and rotating rod [9]. Aich et al [1] examined natural convection in an isosceles prismatic enclosure and asymmetric flow structure is observed.…”

Section: Introductionmentioning

confidence: 99%

Natural convection in an inclined porous triangular enclosure with various thermal boundary conditions

Sivasankaran¹,

Cheong²,

Bhuvaneswari³

2018

Therm sci

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The aim of the study is to analyse the effect of two different thermal boundary conditions on natural convection in a porous triangular enclosure. Sinusoidal and linearly varying temperature profiles on the left wall are considered. The top wall of the enclosure is kept to be adiabatic. The Darcy model is adopted in this study and the governing equations are solved using the finite difference method for various values of inclination angle and Darcy-Rayleigh number. The results are presented in the form of streamlines, isotherms, and Nusselt numbers. The heat transfer rates are calculated and compared between two thermal boundary conditions. The heat transfer is more enhanced in the case of sinusoidal wall temperature than linearly varying wall temperature.

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“…Two-Dimensional natural convection in differentially heated enclosure has been studied [9]. The purpose of this study is to investigate the effect of aspect ratio and inclination angle on flow and heat transfer.…”

Section: Ra mentioning

confidence: 99%