Lattice Boltzmann Simulation of Two-Phase Flow and Heat Transfer in a Rectangular Channel

2004 ◽  
Author(s):  
Peng Yuan ◽  
Laura Schaefer
Keyword(s):  
Heat Transfer ◽  
Lattice Boltzmann ◽  
Two Phase Flow ◽  
Rectangular Channel ◽  
Phase Interface ◽  
Lattice Boltzmann Model ◽  
Phase Flow ◽  
Two Phase ◽  
Flow And Heat Transfer ◽  
Advection Diffusion Equation

The lattice Boltzmann method (LBM) is a kinetic approach, which assumes that a fluid consists of mesoscopic fluid particles with repeating collision and streaming patterns and is used to solve for the hydrodynamic phenomena of various systems In this work, we employ the LBM to investigate two-phase flow and heat transfer problems in a rectangular channel. First, the validity of the LBM is shown through some benchmark tests. Next, we use a single component multi-phase lattice Boltzmann model proposed by Shan and Chen to simulate two-phase flow in the channel. The two-phase interface is reproduced by interaction between different kinds of particles. The temperature field is simulated using the passive scalar approach, i.e. modeling the density field of an extra component, which evolves according to the advection-diffusion equation. Fluid-solid interaction, gravity, and the pressure gradient are also incorporated into the model. The dynamic behavior of the bubble under different conditions is investigated.

AMADEUS Project and Microscopic Simulation of Boiling Two-Phase Flow by the Lattice-Boltzmann Method

1997 ◽  
Vol 08 (04) ◽  
pp. 843-858 ◽  
Author(s):  
Yasuyoshi Kato ◽  
Koji Kono ◽  
Takeshi Seta ◽  
Daniel Martínez ◽  
Shiyi Chen
Keyword(s):  
Phase Transition ◽  
Gas Phase ◽  
Lattice Boltzmann ◽  
Bubble Dynamics ◽  
Two Phase Flow ◽  
Phase Interface ◽  
Lattice Boltzmann Model ◽  
Phase Flow ◽  
Two Phase ◽  
Boltzmann Model

A two-dimensional lattice-Boltzmann model with a hexagonal lattice is developed to simulate a boiling two-phase flow microscopically. Liquid-gas phase transition and bubble dynamics, including bubble formation, growth and deformation, are modeled by using an interparticle potential based on the van der Waals equation of state. Thermohydrodynamics is incorporated into the model by adding extra velocities to define temperature. The lattice-Boltzmann model is solved by a finite difference scheme so that numerical stability can be ensured at large discontinuity across the liquid-gas phase boundary and the narrow phase interface thickness can be attained. It is shown from numerical simulations that the model has the ability to reproduce phase transition, bubble dynamics and thermohydrodynamics while assuring numerical instability and narrow phase interface.

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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