A modified lattice Boltzmann model for conjugate heat transfer in porous media

Gao, Dahai; Chen, Zhenqian; Chen, Linghai; Zhang, Dongliang

doi:10.1016/j.ijheatmasstransfer.2016.10.023

Cited by 69 publications

(25 citation statements)

References 42 publications

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“…Wu [194], and Gao et al [73]. In these thermal LB models, special interface treatments of the conjugate conditions have been avoided, offering efficient strategies to deal with heat transfer in complex porous systems at the pore scale.…”

Section: The Thermal Boundary Treatmentsmentioning

confidence: 99%

“…Furthermore, convection heat transfer in porous media was also studied by Wang et al [71] with their modified DDF-BGK model. Gao et al [73] have investigated conjugate heat transfer in a system containing simultaneously a porous medium and other media. In their work, they simulated conjugate natural convection in a cavity partially filled with porous medium and conjugate heat transfer in porous media with a conducting wall.…”

Section: Rev-scale Single-phase Heat Transfermentioning

confidence: 99%

“…An alternative approach is to simulate fluid flow and heat transfer in porous media at the REV scale. With the development in the past two decades, many REV-scale LB models have been proposed for simulating fluid flow [59][60][61][62][63][64] and heat transfer [65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81] in porous media. In the REV-scale approach, the porous medium is viewed as a continuous medium, i.e., the detailed geometric information of the medium has been ignored.…”

Section: Introductionmentioning

confidence: 99%

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Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review

Liu

et al. 2019

International Journal of Heat and Mass Transfer

204

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Since its introduction 30 years ago, the lattice Boltzmann (LB) method has achieved great success in simulating fluid flows and modeling physics in fluids. Owing to its kinetic nature, the LB method has the capability to incorporate the essential microscopic or mesoscopic physics, and it is particularly successful in modeling transport phenomena involving complex boundaries and interfacial dynamics.The LB method can be considered to be an efficient numerical tool for fluid flow and heat transfer in porous media. Moreover, since the LB method is inherently transient, it is especially useful for investigating transient solid-liquid phase-change processes wherein the interfacial behaviors are very important. In this article, a comprehensive review of the LB methods for single-phase and solid-liquid phase-change heat transfer in porous media at both the pore scale and representative elementary volume (REV) scale. The review first introduces the fundamentals of the LB method for fluid flow and heat transfer. Then the REV-scale LB method for fluid flow and single-phase heat transfer in porous media, and the LB method for solid-liquid phase-change heat transfer, are described. Some applications 2 of the LB methods for single-phase and solid-liquid phase-change heat transfer in porous media are provided. In addition, applications of the LB method to predict effective thermal conductivity of porous materials are also provided. Finally, further developments of the LB method in the related areas are discussed. Keyword: Lattice Boltzmann method; Single-phase heat transfer; Solid-liquid phase change; Porous media proposed the RLBE model with an enhanced collision operator, which was shown to be linearly stable. Based on the Bhatnagar-Gross-Krook (BGK) collision operator [104], the LB model using a single relaxation time, referred to as the BGK-LB model, has been independently proposed by Chen et al. [14], Koelman [15], and Qian et al. [16]. In the BGK-LB model, the equilibrium distribution function is chosen to recover the incompressible N-S equations in the incompressible limit. Due to its high efficiency and extreme simplicity, the BGK-LB model has become the most popular LB model, in spite of some well-known deficiencies (e.g., numerical instability, viscosity dependence of boundary 9 locations). Almost at the same time when the BGK-LB method was developed, d'Humières [17] proposed the multiple-relaxation-time (MRT) LB method. The MRT-LB equation (also referred to as generalized lattice Boltzmann equation (GLBE)) is an important extension of the RLBE proposed by Higuera et al. [12,13]. This work is significant because, in addition to it overcomes some deficiencies of the BGK-LB model, it facilitates the extension of the LB method, expanding the applications to a much wider range of phenomena and processes.In 1997, a direct connection between the LB equation and the continuous Boltzmann equation in kinetic theory was rigorously established by He and Luo [19,20]. In particular, it has been demonstrated that the LB equation c...

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Section: The Thermal Boundary Treatmentsmentioning

confidence: 99%

Section: Rev-scale Single-phase Heat Transfermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review

Liu

et al. 2019

International Journal of Heat and Mass Transfer

204

View full text Add to dashboard Cite

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“…In order to recover the macroscopic equations (3) and (4), according to Refs. [46][47][48], the source terms can be chosen as   04 ,, [17]).…”

Section: Mrt-lb Equations For the Temperature And Concentration Fieldsmentioning

confidence: 99%

Multiple-relaxation-time lattice Boltzmann model for simulating double-diffusive convection in fluid-saturated porous media

Liu

2018

International Journal of Heat and Mass Transfer

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Double-diffusive convection in porous media is a common phenomenon in nature, and has received considerable attention in a wide variety of engineering applications. In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is developed for simulating double-diffusive convection in porous media at the representative elementary volume scale. The MRT-LB model is constructed in the framework of the triple-distribution-function approach: the velocity field, the temperature and concentration fields are solved separately by three different MRT-LB equations. The present model has two distinctive features. First, the equilibrium moments of the temperature and concentration distributions have been modified, which makes the effective thermal diffusivity and heat capacity ratio as well as the effective mass diffusivity and porosity decoupled. This feature is very useful in practical applications. Second, source terms have been added into the MRT-LB equations of the temperature and concentration fields so as to recover the macroscopic temperature and concentration equations. Numerical tests demonstrate that the present model can serve as an accurate and efficient numerical method for simulating double-diffusive convection in porous media.

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“…There are a number of studies about the applications of LBM in simulation of single-mode heat transfer in porous media. Gao et al [18] used a new LBM to simulate conjugate convective heat transfer between a porous medium and other media including fluid, solid, and porous media. In their LBM, the volumetric heat capacity and a new parameter were defined for the equilibrium temperature distribution function to satisfy the temperature and heat flux continuities at the interface between the two media.…”

Section: Introductionmentioning

confidence: 99%

Simulation of conjugate radiation–forced convection heat transfer in a porous medium using the lattice Boltzmann method

et al. 2019

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In this paper, a lattice Boltzmann method is employed to simulate the conjugate radiation-forced convection heat transfer in a porous medium. The absorbing, emitting, and scattering phenomena are fully included in the model. The effects of different parameters of a silicon carbide porous medium including porosity, pore size, conduction-radiation ratio, extinction coefficient and kinematic viscosity ratio on the temperature and velocity distributions are investigated. This shows that there is a good agreement between the results obtained by the current LBM and the existing analytical solutions. The convergence times of modified and regular LBMs for this problem are 15s and 94s, respectively, indicating a considerable reduction in the solution time through using the modified LBM. Further, the thermal plume formed behind the porous cylinder elongates as the porosity and pore size increase. This result reveals that the thermal penetration of the porous cylinder increases with increasing the porosity and pore size. Finally, the mean temperature at the channel output increases by about 22% as the extinction coefficient of fluid increases in the range of 0 to 0.03.

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A modified lattice Boltzmann model for conjugate heat transfer in porous media

Cited by 69 publications

References 42 publications

Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review

Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review

Multiple-relaxation-time lattice Boltzmann model for simulating double-diffusive convection in fluid-saturated porous media

Simulation of conjugate radiation–forced convection heat transfer in a porous medium using the lattice Boltzmann method

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