scholarly journals Numerical investigations of convection heat transfer in a thermal source-embedded porous medium via a lattice Boltzmann method

2022 ◽  
Vol 30 ◽  
pp. 101758
Cun-Hai Wang ◽  
Zi-Yang Liu ◽  
Ze-Yi Jiang ◽  
Xin-Xin Zhang
2011 ◽  
Vol 322 ◽  
pp. 61-67 ◽  
Jiu Gu Shao ◽  
Yang Liu ◽  
You Sheng Xu

The problem of the natural convection heat transfer for phase-change in a square filled with heterogeneously porous medium is solved by lattice Boltzmann method. The lattice Boltzmann equation is governed by the heat conduction equation combined with enthalpy formation. The velocity of liquid part is fully coupled with the temperature distribution through relaxation time. It is found that the high Ra number has significantly impact on the heat transfer and convection, but the low Ra number has little influence on the natural convection. The porosity of the middle porous medium is nothing to do with the heat transfer and convection. The result is of great importance to engineering interest and also provides a new solution to phase transition.

2019 ◽  
Vol 30 (6) ◽  
pp. 3371-3398 ◽  
Masoud Mozaffari ◽  
Annunziata D’Orazio ◽  
Arash Karimipour ◽  
Ali Abdollahi ◽  
Mohammad Reza Safaei

Purpose The purpose of this paper is to improve the lattice Boltzmann method’s ability to simulate a microflow under constant heat flux. Design/methodology/approach Develop the thermal lattice Boltzmann method based on double population of hydrodynamic and thermal distribution functions. Findings The buoyancy forces, caused by gravity, can change the hydrodynamic properties of the flow. As a result, the gravity term was included in the Boltzmann equation as an external force, and the equations were rewritten under new conditions. Originality/value To the best of the authors’ knowledge, the current study is the first attempt to investigate mixed-convection heat transfer in an inclined microchannel in a slip flow regime.

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