Numerical Simulation of Unsteady Natural Convection from Heated Horizontal Circular Cylinders in a Square Enclosure

Karimi, Fariborz; Xu, Hong Tao; Wang, Zhiyun; Yang, Mo; Zhang, Kun

doi:10.1080/10407782.2013.846607

Cited by 45 publications

(13 citation statements)

References 22 publications

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“…Karimi et al [13] carried out numerical research similar to that of Lacroix [12]. They carried out numerical simulation of natural convection from two heated horizontal cylinders in a cold square enclosure.…”

Section: Introductionmentioning

confidence: 97%

Natural convection in a square enclosure with four circular cylinders positioned at different rectangular locations

Park

2015

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 97%

Natural convection in a square enclosure with four circular cylinders positioned at different rectangular locations

Park

2015

International Journal of Heat and Mass Transfer

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“…Consequently, rooted from the gas kinetics, LBM is considered as a persuasive numerical technique tool in casting hydrodynamics in fluid flows in various engineering fields . Recently, it has been extended to simulate free convection in a considerable variety of complex dynamic and thermal behaviors, relayed on the temperature difference between the inner and outer bodies, the sizes and shapes of the inner bodies, their arrangement and their position . The most prominent model, lattice Bhatnagar‐Gross‐Krook (BGK) is used in this paper, which approximates the collision operator

{normalΩ}_{α} = - ω [f_{α} (\vec{r}, t) - {f_{α}}^{e q} (\vec{r}, t)]

as a relaxation of the distribution function

f_{α} false(\overset{r}{true}, t false)

towards a local equilibrium distribution

{f_{α}}^{e q} (\vec{r}, t)

.…”

Section: Simulation Method: Lbmmentioning

confidence: 99%

“…These studies were motivated by the desire to understand the fundamental physics and free convection characterization inside the cavity that can be influenced and affected by the sizes and shapes of the interior bodies, their number, position, arrangement, and also the configuration of the cavity . So, due to its substantial significance, heat transfer with free convection in presence of heating cylinders is investigated by many researchers .…”

Section: Introductionmentioning

confidence: 99%

Mesoscopic approach for steady‐state free convection in a diamond array

Chaabane

Askri

Jemni

2019

Heat Trans. Asian Res.

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The purpose of the present paper is testing an in-house efficiency algorithm based on lattice Boltzmann method (LBM) and using it to resolve the obtained coupled nondimensional governing equations to analyze twodimensional free convection inside a cold outer cavity subjected to a heated cylindrical diamond array. Steady state or oscillatory results are obtained using the Bhatnagar-Gross-Krook collision model associated to the thermal LBM. Both the velocity and temperature fields are solved using the D2Q9 models. With different Rayleigh numbers (Ra), the tested free convection can either achieve to steady state or oscillatory. We extended our in house Fortran 90 code using curved boundary conditions and implemented them into a cavity with a diamond array. The numerical simulations were done using distinct Ra (10 6 and 10 7 ) and distances ε 0.3 0.7 ≤ ≤ between the four neighboring circular cylinders aligned in a diamond array. The effects of several physical parameters, including Ra and position of the hot body array on flow and heat transfer characteristics are investigated. The obtained results are highlighted in the form of streamlines, isotherms, and velocities plots. We show in this paper the stability and the efficiency of the LBM to deal with a complex geometry and its ability to reach suitable convergence criteria for high Ra (10 6 and 10 7 ). The numerical results indicate that LBM can simulate numerical problems with a high Ra reaching a steady state where we can Heat Transfer-Asian Res. 2019;48:896-913. wileyonlinelibrary.com/journal/htj 896 | depict the change of the flow pattern and enhancement of the heat transfer in the presence of heated diamond array. K E Y W O R D S CFD, convection, curved boundary, diamond array, heat transfer, lattice Boltzmann method (LBM) | INTRODUCTIONNowadays, numerical studies of flow and thermal fields inside enclosed and confined space with assorted bodies in different positions on the Buoyancy-induced dynamic and thermal transfer characteristics have been the focus of numerous investigations in industry and academia owing to the diversity engineering applications such as energy engineering, heat exchangers, solar collector receivers, chemical reactors, pipes, nuclear and chemical reactors, refrigerator condensers bearing lubrication, cooling of electronic equipment, solar collector-receivers, air refrigeration, refrigerator condensers, insulation, and flooding protection for buried pipes used for district heating and cooling, cooling systems in nuclear reactors, etc. [1][2][3][4][5][6][7][8][9][10][11][12][13] These studies were motivated by the desire to understand the fundamental physics and free convection characterization inside the cavity that can be influenced and affected by the sizes and shapes of the interior bodies, their number, position, arrangement, and also the configuration of the cavity. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] So, due to its substantial significance, heat transfer with free convection in presence of heating cylin...

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“…Together with the experimental studies reported recently [14][15][16][17][18], there are also numerical simulations [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34], some based on the k-ε turbulence model [19][20][21] or direct numerical simulation (DNS) [22][23][24][25][26][27][28][29][30][31][32], with others by means of large eddy simulation (LES) [33,34]. For turbulent flow simulations, three strategies, phenomenological modeling [35,36], DNS [37], and LES [38], are usually employed.…”

Section: Introductionmentioning

confidence: 99%

LES of convective heat transfer and incompressible fluid flow past a square cylinder

Sun

Chan

Mei

et al. 2016

Numerical Heat Transfer, Part A: Applications

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This paper presents large eddy simulation (LES) results of convective heat transfer and incompressible-fluid flow around a square cylinder (SC) at Reynolds numbers in the range from 10 3 to 3.5 � 10 5 . The LES uses the swirling-strength based sub-grid scale (SbSGS) model. Several flow properties at turbulent regime are explored, including lift and drag coefficients, time-spanwise averaged sub-grid viscosity, and Kolmogorov micro-scale. Local and mean Nusselt numbers of convective heat transfer from the SC under isothermal wall temperature are predicted and compared with empirical results. ARTICLE HISTORY

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Numerical Simulation of Unsteady Natural Convection from Heated Horizontal Circular Cylinders in a Square Enclosure

Cited by 45 publications

References 22 publications

Natural convection in a square enclosure with four circular cylinders positioned at different rectangular locations

Natural convection in a square enclosure with four circular cylinders positioned at different rectangular locations

Mesoscopic approach for steady‐state free convection in a diamond array

LES of convective heat transfer and incompressible fluid flow past a square cylinder

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