LATTICE BOLTZMANN METHOD IN SIMULATION OF THERMAL MICRO-FLOW WITH TEMPERATURE JUMP

We simulate the gas flow and heat transfer in micro-Couette flow by the lattice Boltzmann method (LBM). A new boundary treatment is adopted in the numerical experiment in order to capture the velocity slip and the temperature jump of the wall boundary. Velocity and temperature profiles are in good agreement with the analytic results, which exhibits the availability of this model and boundary treatment in describing thermal micro-flow with viscous heat dissipation. We also find the upper boundary's temperature jump is zero at the critical Ec, which is around 3.0 with different Kn.

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Velocity slip and temperature jump simulations by the three-dimensional thermal finite-difference lattice Boltzmann method

Physical Review E ◽

10.1103/physreve.79.066706 ◽

2009 ◽

Vol 79 (6) ◽

Cited By ~ 28

Author(s):

Minoru Watari

Keyword(s):

Finite Difference ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Temperature Jump ◽

Three Dimensional ◽

Velocity Slip ◽

Boltzmann Method

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Numerical Modeling of Slip Flow and Heat Transfer Over Microcylinders With Lattice Boltzmann Method

Journal of Heat Transfer ◽

10.1115/1.4042770 ◽

2019 ◽

Vol 141 (4) ◽

Cited By ~ 3

Author(s):

Zhenyu Liu ◽

Zhiyu Mu ◽

Huiying Wu

Keyword(s):

Heat Transfer ◽

Lattice Boltzmann ◽

Gas Flow ◽

Temperature Jump ◽

Slip Flow ◽

Velocity Slip ◽

Curved Boundary ◽

Slip Regime ◽

Flow And Heat Transfer ◽

Boltzmann Method

In this paper, a lattice Boltzmann (LB) model is established to simulate the gaseous fluid flow and heat transfer in the slip regime under the curved boundary condition. A novel curved boundary treatment is proposed for the LB modeling, which is a combination of the nonequilibrium extrapolation scheme for the curved boundary and the counter-extrapolation method for the macroscopic variables on the curved gas–solid interface. The established numerical model can accurately predict the velocity slip and temperature jump of the microscale gas flow on the curved surface, which agrees well with the analytical solution for the microcylindrical Couette flow and heat transfer. Then, the slip flow and the heat transfer over the single microcylinder are numerically studied in this work. It shows that the velocity slip and the temperature jump are obviously influenced by the Knudsen number and the Reynolds number, and the local Nusselt number depends on which gas rarefaction effect (velocity slip or temperature jump) is dominant. An increase in the Prandtl number leads to a decrease in the temperature jump, which enhances the heat transfer on the microcylinder surface. The numerical simulation of the flow and heat transfer over two microcylinders in tandem configuration are carried out to investigate the wake interference effect. The results show that the slip flow and heat transfer characteristics of the downstream microcylinder are influenced by the wake region behind the upstream cylinder as the spacing is small.

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A new curved boundary treatment in lattice Boltzmann method for micro gas flow in the slip regime

Acta Physica Sinica ◽

10.7498/aps.66.114701 ◽

2017 ◽

Vol 66 (11) ◽

pp. 114701

Author(s):

Gu Juan ◽

Huang Rong-Zong ◽

Liu Zhen-Yu ◽

Wu Hui-Ying

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Gas Flow ◽

Curved Boundary ◽

Slip Regime ◽

Boundary Treatment ◽

Micro Gas Flow ◽

Boltzmann Method

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Lattice Boltzmann method simulation of the gas heat conduction of nanoporous material

Thermal Science ◽

10.2298/tsci180906102h ◽

2020 ◽

Vol 24 (6 Part A) ◽

pp. 3749-3756

Author(s):

Ya Han ◽

Shuai Li ◽

Hai-Dong Liu ◽

Weipeng Cui

Keyword(s):

Thermal Conductivity ◽

Heat Conduction ◽

Lattice Boltzmann Method ◽

Knudsen Number ◽

Lattice Boltzmann ◽

Size Effects ◽

Temperature Jump ◽

Boundary Scattering ◽

Nanoporous Material ◽

Boltzmann Method

In order to deeply investigate the gas heat conduction of nanoporous aerogel, a model of gas heat conduction was established based on microstructure of aerogel. Lattice Boltzmann method was used to simulate the temperature distribution and gas thermal conductivity at different size, and the size effects of gas heat conduction have had been obtained under micro-scale conditions. It can be concluded that the temperature jump on the boundary was not obvious and the thermal conductivity remained basically constant when the value of Knudsen number was less than 0.01; as the value of Knudsen number increased from 0.01 to 0.1, there was a clear temperature jump on the boundary and the thermal conductivity tended to decrease and the effect of boundary scattering increased drastically, as the value of Knudsen number was more than 0.1, the temperature jump increased significantly on the boundary, furtherly, the thermal conductivity decreased dramatically, and the size effects were significantly.

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