Lattice Boltzmann simulation of pressure-driven two-phase flows in capillary tube and porous medium

2017 ◽  
Vol 155 ◽  
pp. 134-145 ◽  
Author(s):  
Jingwei Huang ◽  
Feng Xiao ◽  
Xiaolong Yin
2000 ◽  
Vol 2000.13 (0) ◽  
pp. 591-592
Author(s):  
Takaji INAMURO ◽  
Nobuharu KONISHI ◽  
Fumimaru OGINO

Author(s):  
Takeshi Seta ◽  
Kenichi Okui ◽  
Eisyun Takegoshi

We propose a lattice Boltzmann model capable of simulating nucleation. This LBM modifies a pseudo-potential so that it recovers a full set of hydrodynamic equations for two-phase flows based on the van der Waals-Cahn-Hilliard free energy theory through the Chapman-Enskog expansion procedure. Numerical measurements of thermal conductivity and of surface tension agree well with theoretical predictions. Simulations of phase transition, nucleation, pool boiling are carried out. They demonstrate that the model is applicable to two-phase flows with thermal effects. Using finite difference Lattice Boltzmann method ensures numerical stability of the scheme.


2002 ◽  
Vol 2002.3 (0) ◽  
pp. 215-216
Author(s):  
Takaji INAMURO ◽  
Takeshi OGATA ◽  
Shuichi TAJIMA ◽  
Fumimaru OGINO

1998 ◽  
Vol 09 (08) ◽  
pp. 1383-1391 ◽  
Author(s):  
Yu Chen ◽  
Shulong Teng ◽  
Takauki Shukuwa ◽  
Hirotada Ohashi

A model with a volumetric stress tensor added to the Navier–Stokes Equation is used to study two-phase fluid flows. The implementation of such an interface model into the lattice-Boltzmann equation is derived from the continuous Boltzmann BGK equation with an external force term, by using the discrete coordinate method. Numerical simulations are carried out for phase separation and "dam breaking" phenomena.


2017 ◽  
Vol 28 (09) ◽  
pp. 1750120 ◽  
Author(s):  
Yong Peng ◽  
Yun Fei Mao ◽  
Bo Wang ◽  
Bo Xie

Equations of State (EOS) is crucial in simulating multiphase flows by the pseudo-potential lattice Boltzmann method (LBM). In the present study, the Peng and Robinson (P–R) and Carnahan and Starling (C–S) EOS in the pseudo-potential LBM with Exact Difference Method (EDM) scheme for two-phase flows have been compared. Both of P–R and C–S EOS have been used to study the two-phase separation, surface tension, the maximum two-phase density ratio and spurious currents. The study shows that both of P–R and C–S EOS agree with the analytical solutions although P–R EOS may perform better. The prediction of liquid phase by P–R EOS is more accurate than that of air phase and the contrary is true for C–S EOS. Predictions by both of EOS conform with the Laplace’s law. Besides, adjustment of surface tension is achieved by adjusting [Formula: see text]. The P–R EOS can achieve larger maximum density ratio than C–S EOS under the same [Formula: see text]. Besides, no matter the C–S EOS or the P–R EOS, if [Formula: see text] tends to 0.5, the computation is prone to numerical instability. The maximum spurious current for P–R is larger than that of C–S. The multiple-relaxation-time LBM still can improve obviously the numerical stability and can achieve larger maximum density ratio.


2010 ◽  
Vol 9 ◽  
pp. 162-166 ◽  
Author(s):  
Xin-Rong Zhang ◽  
Li-Cong Jin ◽  
Xiao-Dong Niu ◽  
Hiroshi Yamaguchi

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