Three-dimensional simulation of conjugate heat transfer using the hybrid lattice Boltzmann-finite difference method

Benhamou, Jaouad; Lahmer, El Bachir; Jami, Mohammed

doi:10.1016/j.icheatmasstransfer.2022.106486

Cited by 21 publications

(27 citation statements)

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“…To model and describe at the macroscopic scale the behavior of the fluid in this scenario, the fundamental equations governing the conservation of mass (Equation 8), momentum (Equations 9-11), and energy (Equation 12) are used. These equations are given as follows 26,41,42 :…”

Section: Finite Difference Methodsmentioning

confidence: 99%

“…For simplicity and practicality, dimensionless quantities are used instead of the corresponding physical quantities. The conversion provided in our previous work 26 is used to relate the dimensional and dimensionless fields. This conversion is based on the use in the international system of the physical length of the considered geometry L , ph reference velocity…”

Section: Finite Difference Methodsmentioning

confidence: 99%

“…The first and second spatial derivatives in Equation ( 14) are computed by using the secondorder central finite difference schemes. 26,43 For example, the derivatives T x / ∂ ∂ and T x / ∂ ∂ can be calculated as:…”

Section: Finite Difference Methodsmentioning

confidence: 99%

“…Because of its stability and efficiency, 36,37 the D3Q19 multiple relaxation time model is used in this paper to calculate the velocities and density caused by the free convection phenomenon. For the LB method, this phenomenon can be modeled by the following Boltzmann equation 26,37,38 :…”

Section: Mrt-lattice Boltzmann Modelmentioning

confidence: 99%

“…In addition to using the pure LBM method to simulate this type of thermal problem, investigations carried out in the literature have shown that the coupling of this technique with the finite difference method (FDM) can offer many advantages in terms of computational efficiency and accuracy. [23][24][25][26][27] Thus, the hybrid LBM-FDM approach is employed in this paper to examine the 3D free convection in a cubic enclosure containing a heat source.…”

Section: Introductionmentioning

confidence: 99%

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Three‐dimensional numerical simulation of free convection and entropy generation in a cubic cavity containing a heat source

et al. 2023

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The present article provides a three‐dimensional numerical investigation of thermal convection and entropy generation. The lattice Boltzmann method, coupled with the finite difference approach, is applied to perform numerical simulations. The validation of these numerical approaches for thermal convection simulation and entropy calculation is performed by comparing our numerical results with those in the published literature for the case of benchmark problems. The physical geometry studied in this paper concerns a hot obstacle having the shape of a plus sign (+) placed in the center of a cubic enclosure. This cube is filled with air of a Prandtl number of 0.71 and characterized by two cold vertical walls. The heat exchange between the fluid and the hot body is studied as a function of the Rayleigh number (). The performed simulations show that the heat transfer rate can be increased by about 429% by switching from to . The entropy generation due to fluid friction, heat transfer, and total entropy are also calculated and discussed. For an irreversibility coefficient , the analysis of the results showed that for low values of the Rayleigh number (), the entropy production due to temperature gradients predominates over that produced by viscous effects. In the cases of and , entropy generation is due to both fluid friction and heat transfer. However, when the Rayleigh number becomes large (), entropy generation due to viscosity predominates over entropy production related to heat exchange. These results have important implications for the optimization and design of heat transfer systems in various industrial applications.

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Section: Finite Difference Methodsmentioning

confidence: 99%

Section: Finite Difference Methodsmentioning

confidence: 99%

Section: Finite Difference Methodsmentioning

confidence: 99%