Simulation of conjugate heat transfer between fluid-saturated porous media and solid wall

Chen, Sheng

doi:10.1016/j.ijthermalsci.2017.10.039

Cited by 15 publications

(7 citation statements)

References 35 publications

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“…They showed that their model can serve as a feasible tool for conjugate heat transfer problems in porous media. In addition, conjugate heat transfer between fluid-saturated porous media and solid walls was also studied in Chen's work [287].…”

Section: Rev-scale Single-phase Heat Transfermentioning

confidence: 99%

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: Rev-scale Single-phase Heat Transfermentioning

confidence: 99%

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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“…In this group, modified equilibrium DFs were introduced. The heat capacity is typically involved in the modified equilibrium DFs, such as [37,38]…”

Section: Group 3: Modified Equilibrium Distribution Functionsmentioning

confidence: 99%

“…There is another category of interface schemes that has attracted interest in the LBM community. In those schemes, additional source terms [34], alternative LBE formulations [35,36], or modified equilibrium DFs [37,38], were proposed to handle the conjugate conditions. The main motivation for those schemes is to avoid the consideration of the interface geometry or topology, which can be a challenge in complex systems such as porous media.…”

Section: Introductionmentioning

confidence: 99%

Interface Treatment for Conjugate Conditions in the Lattice Boltzmann Method for the Convection Diffusion Equation

Korba¹,

Li²

2020

Computational Fluid Dynamics Simulations

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The lattice Boltzmann method (LBM) has emerged as an attractive numerical method for fluid flows and thermal and mass transport. For LBM modeling of transport between different phases or materials of distinct properties, effective treatment for the conjugate conditions at the interface is required. Recognizing the benefit of satisfying the conjugate conditions in each time step without iterative computations using LBM, various interface schemes have been proposed in the last decade. This chapter provides a review of those interface schemes, with a focus on the comparison of numerical accuracy and convergence orders. It is shown that in order to preserve the second-order accuracy in LBM, the local interface geometry must be considered; and the modified geometry-ignored interface schemes result in degraded convergence orders and/or much higher error magnitude. It is also verified that with appropriate interface schemes, interfacial transport with scalar and flux jumps can be effectively modeled.

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“…In addition to its wide application, LBM has many other intrinsic advantages such as simple programming, ease in handling complex geometries, high computational efficiency, and natural parallelism . To date, the LBM has been widely used to investigate heat and mass transfer in porous media . He et al studied the influence of bottom heat source on natural convective heat transfer characteristics in a two‐dimensional square cavity fully filled with a homogeneous porous medium by the LBM.…”

Section: Introductionmentioning

confidence: 99%

“…[9][10][11][12] To date, the LBM has been widely used to investigate heat and mass transfer in porous media. [13][14][15][16] He et al 17 20 studied the mass transfer coefficient from bulk flows to pore surfaces in chemically reactive flows for both ordered and disordered porous structures based on LBM. LBM studies the heat transfer in porous media from the quasi-microscopic level.…”

mentioning

confidence: 99%

Research on heat transfer law of cement clinker accumulation body in grate cooler based on lattice Boltzmann method

Yan

Yuan

2018

Heat Trans. Asian Res.

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In view of the porous media characteristics of the clinker accumulation body in the cement cooler, this paper combined the seepage heat transfer theory with the lattice Boltzmann method (LBM) to analyze the heat transfer of the particle accumulation body. According to the principle of nonmutation of permeability, the minimum feature unit model of cement particles was established, and its heat transfer law was analyzed by LBM. The heat transfer law of the boundary of the feature unit was obtained, and it was used to analyze the heat transfer law of the whole accumulation body by using the double‐loop nesting algorithm. The correctness of this study result was verified by particle heat transfer experiments.

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Simulation of conjugate heat transfer between fluid-saturated porous media and solid wall

Cited by 15 publications

References 35 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

Interface Treatment for Conjugate Conditions in the Lattice Boltzmann Method for the Convection Diffusion Equation

Research on heat transfer law of cement clinker accumulation body in grate cooler based on lattice Boltzmann method

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