Lattice Boltzmann Simulation of Particle Motion in Binary Immiscible Fluids

2015 ◽  
Vol 18 (3) ◽  
pp. 757-786 ◽  
Author(s):  
Yu Chen ◽  
Qinjun Kang ◽  
Qingdong Cai ◽  
Moran Wang ◽  
Dongxiao Zhang
Keyword(s):  
Lattice Boltzmann ◽  
Particle Motion ◽  
Mass Conservation ◽  
Immiscible Fluids ◽  
Lattice Boltzmann Model ◽  
Lattice Boltzmann Simulation ◽  
Suspension Model ◽  
Wetting Model ◽  
Boltzmann Model ◽  
The Impact

AbstractWe combine the Shan-Chen multicomponent lattice Boltzmann model and the link-based bounce-back particle suspension model to simulate particle motion in binary immiscible fluids. The impact of the slightly mixing nature of the Shan-Chen model and the fluid density variations near the solid surface caused by the fluid-solid interaction, on the particle motion in binary fluids is comprehensively studied. Our simulations show that existing models suffer significant fluid mass drift as the particle moves across nodes, and the obtained particle trajectories deviate away from the correct ones. A modified wetting model is then proposed to reduce the non-physical effects, and its effectiveness is validated by comparison with existing wetting models. Furthermore, the first-order refill method for the newly created lattice node combined with the new wetting model significantly improves mass conservation and accuracy.

Modeling of collapsing cavitation bubble near solid wall by 3D pseudopotential multi-relaxation-time lattice Boltzmann method

2017 ◽  
Vol 232 (3) ◽  
pp. 445-456 ◽  
Author(s):  
Minglei Shan ◽  
Yu Yang ◽  
Hao Peng ◽  
Qingbang Han ◽  
Changping Zhu
Keyword(s):  
Relaxation Time ◽  
Lattice Boltzmann ◽  
Cavitation Bubble ◽  
Solid Wall ◽  
Three Dimensional ◽  
Lattice Boltzmann Model ◽  
Bubble Collapse ◽  
Lattice Boltzmann Simulation ◽  
Boltzmann Method ◽  
Boltzmann Model

Understanding the dynamic characteristic of the cavitation bubble near a solid wall is a fundamental issue for the bubble collapse application and prevention. In the present work, an improved three-dimensional multi-relaxation-time pseudopotential lattice Boltzmann model is adopted to investigate the cavitation bubble collapse near the solid wall. With respect to thermodynamic consistency, Laplace law verification, the three-dimensional pseudopotential multi-relaxation-time lattice Boltzmann model is investigated. By the theoretical analysis, it is proved that the model can be regarded as a solver of the Rayleigh–Plesset equation, and confirmed by comparing the results of the lattice Boltzmann simulation and the Rayleigh–Plesset equation calculation for the case of cavitation bubble collapse in the infinite medium field. The bubble collapse near the solid wall is modeled using the improved pseudopotential multi-relaxation-time lattice Boltzmann model. We find the lattice Boltzmann simulation and the experimental results have the same dynamic process by comparing the bubble profiles evolution. Form the pressure field and the velocity field evolution it is found that the tapered higher pressure region formed near the top of the bubble is a crucial driving force inducing the bubble collapse. This exploratory research demonstrates that the lattice Boltzmann method is an alternative tool for the study of the interaction between collapsing cavitation bubble and matter.

Lattice Boltzmann Simulation of Micro Poiseuille Flow in Curved Rough Channels

2009 ◽  
Author(s):  
Weizhong Li ◽  
Wenning Zhou
Keyword(s):  
Lattice Boltzmann ◽  
Specular Reflection ◽  
Lattice Boltzmann Model ◽  
Solid Boundary ◽  
Gas Flows ◽  
Curved Channel ◽  
Roughness Effect ◽  
Lattice Boltzmann Simulation ◽  
Boltzmann Model ◽  
Bounce Back

This paper studies the roughness effect of the two-dimensional micro Poiseuille gas flows in a curved channel by a modified lattice Boltzmann model. A method relating to the Knudsen number (Kn) with the relaxation time is discussed. In addition, to capture the slip velocity on a solid boundary more accurately, a combined boundary scheme (CBC), which combines the no-slip bounce-back and the free-slip specular reflection schemes, is applied to boundary condition treatment. The rough wall of the micro-channel is described by uniformly distributed rectangular or triangular rough elements. The simulation results show that the roughness and the geometries of the channel have great effects not only on velocity distribution but also on pressure distribution.

Two-Dimensional Lattice Boltzmann Model for Droplet Impingement and Breakup in Low Density Ratio Liquids

2011 ◽  
Vol 10 (3) ◽  
pp. 767-784 ◽  
Author(s):  
Amit Gupta ◽  
Ranganathan Kumar
Keyword(s):  
Lattice Boltzmann ◽  
Weber Number ◽  
Density Ratio ◽  
Lattice Boltzmann Model ◽  
Low Density ◽  
Two Dimensional ◽  
Conservation Of Energy ◽  
Dimensional Lattice ◽  
Boltzmann Model ◽  
The Impact

AbstractA two-dimensional lattice Boltzmann model has been employed to simulate the impingement of a liquid drop on a dry surface. For a range of Weber number, Reynolds number and low density ratios, multiple phases leading to breakup have been obtained. An analytical solution for breakup as function of Reynolds and Weber number based on the conservation of energy is shown to match well with the simulations. At the moment breakup occurs, the spread diameter is maximum; it increases with Weber number and reaches an asymptotic value at a density ratio of 10. Droplet breakup is found to be more viable for the case when the wall is non-wetting or neutral as compared to a wetting surface. Upon breakup, the distance between the daughter droplets is much higher for the case with a non-wetting wall, which illustrates the role of the surface interactions in the outcome of the impact.

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.

scholarly journals Apparent Permeability Prediction of Coal Matrix with Generalized Lattice Boltzmann Model considering Non-Darcy Effect

Geofluids ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14 ◽  
Author(s):  
Zhigao Peng ◽  
Shenggui Liu ◽  
Yingjun Li ◽  
Qi Yao
Keyword(s):  
Viscous Flow ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Transitional Flow ◽  
Apparent Permeability ◽  
Desorption Process ◽  
Coal Matrix ◽  
Inorganic Content ◽  
Boltzmann Model ◽  
The Impact

Methane flow in coal is associated with the content of both organic matter (OM) and inorganic matter (IOM). Coal matrix contains nanopores ranging in size from a few to hundreds of nanometers, which leads to a non-Darcy effect where the measured permeability of a gas (apparent permeability) is higher than that of a liquid (intrinsic permeability). In this study, a generalized Lattice Boltzmann model (GLBM) is employed for gas flow through the reconstructed coal matrix consisting of OM, IOM, and fractures. The apparent permeability model is proposed to calculate the total flow flux accounting for multiple transport mechanisms including viscous flow, slip flow, transitional flow, and the Knudsen diffusion. The impact of effective pore radius and gas surface diffusion on permeability in the gas adsorption-desorption process is also considered in the model. What’s more, the weighting factors are adopted to adjust the contribution of the viscous flow and the Knudsen flow. The effect of total organic/inorganic content and the development of fractures on the apparent permeability of the reconstructed coal matrix is also studied. It is found that the apparent permeability is extremely low when a fracture is nonexistent, and varies almost linearly with the total organic/inorganic content. A fracture plays a significant role in determining apparent permeability and the velocity distribution of the coal matrix.

A LATTICE BOLTZMANN APPROACH FOR IMMISCIBLE FLUIDS WITH VERY DIFFERENT VISCOSITIES

2005 ◽  
Vol 16 (09) ◽  
pp. 1409-1435
Author(s):  
LUCIANO MISICI ◽  
SILVIA PALPACELLI
Keyword(s):  
Lattice Boltzmann ◽  
Immiscible Fluids ◽  
Three Dimensions ◽  
Lattice Boltzmann Model ◽  
Reconstruction Method ◽  
Interface Motion ◽  
Qualitative Comparison ◽  
Multi Scale ◽  
Drop Collision ◽  
Boltzmann Model

In this article, a lattice Boltzmann model for two immiscible fluids with same density but a large viscosity difference is developed. The effect of surface tension is included. An indicator function is used to model the interface motion and is updated by a lattice Boltzmann scheme. The macroscopic equation for this function is derived using multi-scale analysis. Numerical results are compared with theoretical and experimental ones for the problem of drop deformation under steady linear flows. A qualitative comparison with results given by a level contour reconstruction method for drop collision in three dimensions is also shown. Other numerical applications, such as flow past obstacles and a falling drop, are presented.

scholarly journals An Improved Lattice Boltzmann Model for Immiscible Fluids

2008 ◽  
Vol 2 (2) ◽  
pp. 307-317
Author(s):  
Long WU ◽  
Michihisa TSUTAHARA ◽  
Shinsuke TAJIRI
Keyword(s):  
Lattice Boltzmann ◽  
Immiscible Fluids ◽  
Lattice Boltzmann Model ◽  
Boltzmann Model
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