scholarly journals Thermal Lattice Boltzmann Model for Simulating Two-Phase Flows.

2002 ◽  
Vol 68 (672) ◽  
pp. 2186-2194 ◽  
Author(s):  
Takeshi SETA ◽  
Ryoichi TAKAHASHI ◽  
Kenichi OKUI ◽  
Eisyun TAKEGOSHI
Keyword(s):  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Two Phase Flows ◽  
Two Phase ◽  
Thermal Lattice Boltzmann ◽  
Boltzmann Model

Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology

2018 ◽  
Vol 97 (3) ◽  
Author(s):  
Yan Ba ◽  
Ningning Wang ◽  
Haihu Liu ◽  
Qiang Li ◽  
Guoqiang He
Keyword(s):  
Power Law ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Two Phase Flows ◽  
Two Phase ◽  
Boltzmann Model

Lattice Boltzmann Simulation of Nucleation

2003 ◽  
Author(s):  
Takeshi Seta ◽  
Kenichi Okui ◽  
Eisyun Takegoshi
Keyword(s):  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Two Phase Flows ◽  
Two Phase ◽  
Lattice Boltzmann Simulation ◽  
Expansion Procedure ◽  
Theoretical Predictions ◽  
Boltzmann Method ◽  
Boltzmann Model ◽  
Pseudo Potential

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.

A Thermal Lattice Boltzmann Two-Phase Flow Model and Its Application to Heat Transfer Problems—Part 1. Theoretical Foundation

2005 ◽  
Vol 128 (1) ◽  
pp. 142-150 ◽  
Author(s):  
Peng Yuan ◽  
Laura Schaefer
Keyword(s):  
Fluid Dynamics ◽  
Temperature Field ◽  
Lattice Boltzmann ◽  
Two Phase Flow ◽  
Lattice Boltzmann Model ◽  
Phase Flow ◽  
Two Phase ◽  
Advection Diffusion Equation ◽  
Thermal Lattice Boltzmann ◽  
Boltzmann Model

A new and generalized lattice Boltzmann model for simulating thermal two-phase flow is described. In this model, the single component multi-phase lattice Boltzmann model proposed by Shan and Chen is used to simulate the fluid dynamics. The temperature field is simulated using the passive-scalar approach, i.e., through modeling the density field of an extra component, which evolves according to the advection-diffusion equation. By coupling the fluid dynamics and temperature field through a suitably defined body force term, the thermal two-phase lattice Boltzmann model is obtained. In this paper, the theoretical foundations of the model and the validity of the thermal lattice Boltzmann equation method are laid out, illustrated by analytical and numerical examples. In a companion paper (P. Yuan and L. Schaefer, 2006, ASME J. Fluids Eng., 128, pp. 151–156), the numerical results of the new model are reported.

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