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

2009 ◽  
Vol 79 (6) ◽  
Author(s):  
Minoru Watari
Keyword(s):  
Finite Difference ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Temperature Jump ◽  
Three Dimensional ◽  
Velocity Slip ◽  
Boltzmann Method

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

2006 ◽  
Vol 17 (05) ◽  
pp. 603-614 ◽  
Author(s):  
ZHI-WEI TIAN ◽  
CHUN ZOU ◽  
ZHAO-HUI LIU ◽  
ZHAO-LI GUO ◽  
HONG-JUAN LIU ◽  
...  
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Gas Flow ◽  
Heat Dissipation ◽  
Temperature Jump ◽  
Velocity Slip ◽  
Boundary Treatment ◽  
Boundary Velocity ◽  
Micro Flow ◽  
Boltzmann Method

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.

Rotational Slip Flow in Coaxial Cylinders by the Finite-Difference Lattice Boltzmann Methods

2011 ◽  
Vol 9 (5) ◽  
pp. 1293-1314 ◽  
Author(s):  
Minoru Watari
Keyword(s):  
Finite Difference ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Slip Flow ◽  
Velocity Slip ◽  
Parallel Plates ◽  
Coaxial Cylinders ◽  
Cylindrical Coordinate ◽  
Boltzmann Method ◽  
Rotational Slip

AbstractRecent studies on applications of the lattice Boltzmann method (LBM) and the finite-difference lattice Boltzmann method (FDLBM) to velocity slip simulations are mostly on one-dimensional (1D) problems such as a shear flow between parallel plates. Applications to a 2D problem may raise new issues. The author performed numerical simulations of rotational slip flow in coaxial cylinders as an example of 2D problem. Two types of 2D models were used. The first were multi-speed FDLBM models proposed by the author. The second was a standard LBM, the D2Q9 model. The simulations were performed applying a finite difference scheme to both the models. The study had two objectives. The first was to investigate the accuracies of LBM and FDLBM on applications to rotational slip flow. The second was to obtain an experience on application of the cylindrical coordinate system. The FDLBM model with 8 directions and the D2Q9 model showed an anisotropic flow pattern when the relaxation time constant or the Knudsen number was large. The FDLBM model with 24 directions showed accurate results even at large Knudsen numbers.

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