Hybrid lattice Boltzmann finite difference simulation of Soret convection flows in a square cavity with internal heat generation

Hasnaoui, Safae; Amahmid, A.; Béji, H.; Raji, A.; Hasnaoui, M.; Mansouri, A. El; Dahani, Youssef; Alouah, M.

doi:10.1080/10407782.2018.1487690

Cited by 10 publications

(2 citation statements)

References 34 publications

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“…The first one is the mesoscopic lattice Boltzmann approach and the second one is the macroscopic finite difference technique. Indeed, the association of these methods is commonly used in two dimensions to analyze different thermal systems in various geometries ( Lallemand & Luo, 2003;Shi et al, 2006;Xu et al, 2006;Bettaibi et al, 2014;Hasnaoui et al, 2018). In three dimensions, FDM methods have been used for many years to perform various numerical simulations, while the LBM approach is relatively new.…”

Section: Introductionmentioning

confidence: 99%

3D Numerical Investigation of Free Convection using Lattice Boltzmann and Finite Difference Methods

Benhamou

Lahmer

Jami

et al. 2022

Int. J. Renew. Energy Dev.

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Numerical study of various physical phenomena in three dimensions has become a necessity to better understand the physical process than in two dimensions. Thus, in this paper, the code is elaborated to be adapted to the simulation of heat transfer in three dimensions. The numerical simulations are performed using a hybrid method. This method is based on the lattice Boltzmann approach for the computation of velocities, and on the finite difference technique for the calculation of temperature. The used numerical code is validated by examining the free convection in a cubic enclosure filled with air. Then, the analysis of the heat exchange between two cold vertical walls and a heated block located at the center of a cubic cavity is considered. The performed simulations showed that for a small value of the Rayleigh number (Ra=103 for example), the fluid exchanges its heat almost equally with all hot surfaces of the obstacle. However, for large values of Ra (Ra≥104), the numerical results found showed that the heat exchange rate is greater on the bottom face compared to the other faces of the obstacle.

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Section: Introductionmentioning

confidence: 99%

3D Numerical Investigation of Free Convection using Lattice Boltzmann and Finite Difference Methods

Benhamou

Lahmer

Jami

et al. 2022

Int. J. Renew. Energy Dev.

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“…Gangawane et al [20] studied the heat transfer process of fluid in the square cover drive cavity with triangular blocks, and the empirical formula for Nusselt number calculation about dimensionless length, triangular block position and Rayleigh number were proposed. Hasnaoui et al [21] utilized LBM to study the natural-convection heat transfer process in the square cavity with Soret effect and internal heat source, and analyzed the simulation results by the change of Nusselt number on the hot wall. Ibrahim et al [22,23] utilized LBM to study the natural convective heat transfer process of nanofluids in an inner heat source square cavity and a quarter of a circular tube, selected the relevant parameters of the highest heat transfer rate through the optimization of neural network algorithm.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on Nusselt number of moving phase interface during wax melting in tube using lattice Boltzman method

Zhou

Liu

et al. 2022

THERM SCI

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Paraffin melting is widely applied to the fields of phase change materials(PCMs) energy storage, gathering and transportation pipeline paraffin removal, etc. Natural convection is the main heat transfer mode during paraffin melting, and Ra number is an important factor affecting the change of natural convection intensity and Nu number. Nu number variation can reflect the influence of natural convection on heat transfer. The conventional Nu number of hot wall surface reflects only the convective heat transfer intensity of the fixed wall, while it does not take into account that the phase change interface has the characteristics of moving in the phase change process. A double distribution model of paraffin phase transformation in circular tube based on lattice Boltzmann method is established in this paper. The influence of Ra number on the temperature field and flow field of wax in circular tube is analyzed. The heat transfer process is reflected by Nu number of moving phase interface. The relation between Nu number of moving interface and Nu number of hot wall surface is also presented. The results show that the Nu number of moving phase interface can reflect the complex nonlinear characteristics of natural convection and describe the phase change heat transfer process of wax more accurately. Calculation formula of Nu number of moving phase interface and hot wall during wax phase change is proposed. Increasing Ra number can quicken the melting of wax to meet the actual engineering requirements.

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Applications of lattice Boltzmann method for double-diffusive convection in the cavity: a review

Kumar

Gangawane

Öztop

2022

J Therm Anal Calorim

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Hybrid lattice Boltzmann finite difference simulation of Soret convection flows in a square cavity with internal heat generation

Cited by 10 publications

References 34 publications

3D Numerical Investigation of Free Convection using Lattice Boltzmann and Finite Difference Methods

3D Numerical Investigation of Free Convection using Lattice Boltzmann and Finite Difference Methods

Numerical study on Nusselt number of moving phase interface during wax melting in tube using lattice Boltzman method

Applications of lattice Boltzmann method for double-diffusive convection in the cavity: a review

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