Application of the lattice Boltzmann method to transient conduction and radiation heat transfer in cylindrical media

Chaabane, Raoudha; Askri, Faouzi; Nasrallah, Sassi Ben

doi:10.1016/j.jqsrt.2011.04.002

Cited by 40 publications

(22 citation statements)

References 30 publications

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“…It assures a simple calculation procedure, a numerical stability and efficient implementation for parallel computation. 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 .…”

Section: Simulation Method: Lbmmentioning

confidence: 99%

“…LBM is popular now because it significantly enhances the stability of simulations for fluid flow with heat transfer without compromising on computational efficiency. It is widely used to simulate successfully industrial fluid flow and heat problems in many specific topics and seeking brevity, general details will be displayed within this paper. LBM has many advantages, namely, easy solution procedure and simple algebraic manipulation for implementation of Cartesian.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Simulation Method: Lbmmentioning

confidence: 99%

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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“…It has been applied extensively within the last decade. Based on kinetic theory for simulating fluid flows and modeling the physics in fluids [25][26][27][28][29][30][31][32], it becomes a powerful, effective and easy numerical method, for simulation of complex flow problems with different boundary conditions [33,34].…”

Section: Introductionmentioning

confidence: 99%

Free Convection in a MHD Open Cavity with a Linearly Heated Wall Using LBM

Chaabane¹

2020

Pattern Formation and Stability in Magnetic Colloids

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This chapter examines the magneto-hydrodynamic (MHD) free convection in a square enclosure filled with liquid gallium subjected to a [transverse magnetic field] in-plane magnetic field. First, the side vertical walls of the cavity have spatially varying linearly temperature distributions. The bottom wall is uniformly heated and the upper wall is adiabatic. The second configuration is an open enclosure heated linearly from the left wall. Lattice Boltzmann method (LBM) is applied in order to solve the coupled equations of flow and temperature fields. This study has been carried out for Ra of 10 5 . The results show that the heat transfer rate decreases with an increase of the Ha number which is a widely solicited result in different engineering applications. Streamlines, isotherm counters and Nu numbers are displayed and discussed. A good stability is observed for all studied cases employing an in-house code. The obtained results show that the free-convection heat transfer in the open MHD enclosure is enhanced and it is greater to that of a uniformly heated wall.

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“…The main aim of the present study is to demonstrate the use of the Lattice Boltzmann Method (LBM) [31][32][33][34][35][36][37][38][39][40] . The north and south horizontal boundaries are adiabatic.…”

Section: Introductionmentioning

confidence: 99%

The Study of Magneto-Convection Heat Transfer in a Partially Open Cavity Based on LBM

Chaabane¹

2020

Pattern Formation and Stability in Magnetic Colloids

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A free convection heat transfer in a sinusoidally heated enclosure filled with conducting fluid is presented in this chapter by Lattice Boltzmann Method (LBM). The horizontal walls in the enclosures are insulated and there is an opening part on the right wall. The right non-open parts of the vertical wall of the square cavity are maintained at constant cold temperature and the left wall of the cavity is sinusoidally heated. The cavity is get under a uniform in-plane magnetic field. The main aim of this study is to highlight the effectiveness of the LBM mesoscopic approach to predict the effects of pertinent parameters such as the Hartmann number varying from 0 to 150 where Rayleigh number is fixed at moderate value of 10 5 on flow patterns. This in-house numerical code used in this chapter is ascertained and a good agreement with literature is highlighted. The appropriate validation with previous numerical investigations demonstrated that this attitude is a suitable method and a powerful approach for engineering MHD problems. Findings and results show the alterations of Hartmann number that influence the isotherms and the streamlines widely.

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Application of the lattice Boltzmann method to transient conduction and radiation heat transfer in cylindrical media

Cited by 40 publications

References 30 publications

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

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

Free Convection in a MHD Open Cavity with a Linearly Heated Wall Using LBM

The Study of Magneto-Convection Heat Transfer in a Partially Open Cavity Based on LBM

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