A thermal lattice Boltzmann model for natural convection in porous media under local thermal non-equilibrium conditions

In this work entropy generation and heat transfer for magnetohydrodynamic (MHD) forced convection flow in a micro duct filled with a porous medium are investigated using a modified axisymmetric Lattice Boltzmann Method. In modeling the flow, the Brinkman-Forchheimer-extended Darcy model is incorporated in momentum equations. The Local Thermal Non-Equilibrium (LTNE) assumption between fluid and solid phases is adopted to investigate heat transfer. All terms of viscous dissipation effects are included in the energy equation of the fluid phase. Our attention is focused on the effects of different values of Hartmann number Ha, Knudsen number, Kn, Eckert number, Ec, and Biot number, Bi, on the flow, Nusselt number and entropy generation.

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“…The single-particle equilibrium temperature distribution function has appropriate form for each phase and expressed as 31,32 …”

Section: Lattice Boltzmann Equations For the Temperature Eldsmentioning

confidence: 99%

Influence of magnetohydrodynamic viscous flow on entropy generation within porous micro duct using the Lattice Boltzmann Method

et al. 2017

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“…Nevertheless, the present pore scale studies need to describe the detailed geometric information of porous structures, thus the size of computation domain cannot be too large due to the limited computer resources [29].…”

Section: Introductionmentioning

confidence: 99%

Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media

Chen

Liu

2017

Phys. Rev. E

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“…As the governing equation of energy in a non-equilibrium status [16,17] is completely different from its local-equilibrium counterpart [9][10][11][12][13][14][15], in the present study, we only concentrate on the local-equilibrium scenarios where Eq. (1) is applicable.…”

Section: Introductionmentioning

confidence: 99%

A lattice Boltzmann model for heat transfer in porous media

Chen

Yang

Chen

2017

International Journal of Heat and Mass Transfer

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Porous media are commonly found not only in the nature but also in industries. Furthermore, porous media is an important research prototype for a diversity of disciplines. So far a REV (representative elementary volume) scale lattice Boltzmann (LB) model has been proposed and popularly used for investigation on heat transfer in porous media. Unfortunately, such model suffers from a serious drawback that it can not address an investigated domain where the heat capacitance (the product of density and specific heat capacity) of porous media varies spatially obviously. Such deficit restricts dramatically its applicable range. The purpose of the present work is to remedy such serious shortcoming in a simple way. Numerical validation demonstrates the capability and reliability of the present model. In order to clearly show the advantage of the present model, here a single-relaxation-time LB model is taken as an example to illustrate how to remedy the shortcoming of previous models. Its multiple-relaxation-time counterpart can be established straightforwardly in the same way.

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A thermal lattice Boltzmann model for natural convection in porous media under local thermal non-equilibrium conditions

Cited by 105 publications

References 55 publications

Influence of magnetohydrodynamic viscous flow on entropy generation within porous micro duct using the Lattice Boltzmann Method

Influence of magnetohydrodynamic viscous flow on entropy generation within porous micro duct using the Lattice Boltzmann Method

Multiple-relaxation-time lattice Boltzmann simulation for flow, mass transfer, and adsorption in porous media

A lattice Boltzmann model for heat transfer in porous media

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