LATTICE BOLTZMANN SIMULATION OF VAPOR–LIQUID EQUILIBRIUM ON 3D FINITE LATTICE

2004 ◽  
Vol 15 (03) ◽  
pp. 459-469 ◽  
Author(s):  
GUSZTÁV MAYER ◽  
GÁBOR HÁZI ◽  
ATTILA R. IMRE ◽  
THOMAS KRASKA ◽  
LEONID V. YELASH
Keyword(s):  
Lattice Boltzmann ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Finite Size ◽  
Two Dimensions ◽  
Finite Size Effect ◽  
Lattice Boltzmann Simulation ◽  
Lattice Boltzmann Simulations ◽  
Vapor Liquid Equilibria ◽  
Vapor Liquid

Numerical calculations for three-dimensional vapor–liquid equilibria have been accomplished by lattice Boltzmann simulations. The aim of this investigation is to test the capability of the lattice Boltzmann method in comparison with solutions obtained by the underlying equation of state. As a result we have found a finite-size effect (just like the ones obtained in one and two dimensions) at small lattice sizes for all phase equilibrium properties and related constants such as the critical exponent β. Here, systems with up to 1003 lattice sites are investigated. Reasonable convergence has been obtained from about 323 lattice sites.

Lattice Boltzmann Simulation of Jet Breakup and Droplet Formation in Immiscible Liquid-Liquid System

2017 ◽  
Author(s):  
Shimpei Saito ◽  
Yutaka Abe ◽  
Akiko Kaneko ◽  
Yuzuru Iwasawa ◽  
Kazuya Koyama
Keyword(s):  
Lattice Boltzmann ◽  
Numerical Stability ◽  
Three Dimensional ◽  
Droplet Formation ◽  
Liquid System ◽  
Immiscible Liquid ◽  
Two Phase ◽  
Jet Breakup ◽  
Lattice Boltzmann Simulation ◽  
Lattice Boltzmann Simulations

It is essential to understand the fundamental processes between melt jet and coolant during a postulated core-disruptive accident of a sodium-cooled fast reactor. In the present study, jet breakup and droplet formation in immiscible liquid-liquid system were studied numerically. A lattice Boltzmann two-phase model was modified in framework of three-dimensional 27-lattice to enhance the numerical stability. This model was applied to the conditions of jet breakup simulations. The present lattice Boltzmann simulations qualitatively reproduced the characteristic transitions of breakup regimes.

scholarly journals Lattice Boltzmann simulation of liquid falling on horizontal rectangular pillar arrays

2021 ◽  
Vol 321 ◽  
pp. 01014
Author(s):  
Makoto Sugimoto ◽  
Tatsuya Miyazaki ◽  
Zelin Li ◽  
Masayuki Kaneda ◽  
Kazuhiko Suga
Keyword(s):  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Phase Field Model ◽  
Flow Simulation ◽  
High Viscosity ◽  
Two Phase ◽  
Lattice Boltzmann Simulation ◽  
Pillar Arrays ◽  
Boltzmann Method ◽  
Behavior Characteristic

Stator coils of automobiles in operation generate heat and are cooled by a coolant poured from above. Since the behavior characteristic of the coolant poured on the coils is not clarified yet due to its complexity, the three-dimensional two-phase flow simulation is conducted. In this study, as a steppingstone to the simulation of the liquid falling on the actual coils, the coils are modelled with horizontal rectangular pillar arrays whose governing parameters can be easily changed. The two-phase flows are simulated using the lattice Boltzmann method and the phase-field model, and the effects of the governing parameters, such as the physical properties of the cooling liquid, the wettability, and the gap between the pillars, on the wetting area are investigated. The results show that the oil tends to spread across the pillars because of its high viscosity. Moreover, the liquid spreads quickly when the contact angle is small. In the case that the pillars are stacked, the wetting area of the inner pillars is larger than that of the exposed pillars.

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.

scholarly journals Inertial focusing of finite-size particles in microchannels

2018 ◽  
Vol 840 ◽  
pp. 613-630 ◽  
Author(s):  
Evgeny S. Asmolov ◽  
Alexander L. Dubov ◽  
Tatiana V. Nizkaya ◽  
Jens Harting ◽  
Olga I. Vinogradova
Keyword(s):  
Lattice Boltzmann ◽  
Slip Velocity ◽  
Lift Force ◽  
Finite Size ◽  
Reynolds Numbers ◽  
Velocity Difference ◽  
Inertial Focusing ◽  
Inertial Migration ◽  
Lattice Boltzmann Simulations ◽  
Insight Into

At finite Reynolds numbers, $Re$, particles migrate across laminar flow streamlines to their equilibrium positions in microchannels. This migration is attributed to a lift force, and the balance between this lift and gravity determines the location of particles in channels. Here we demonstrate that velocity of finite-size particles located near a channel wall differs significantly from that of an undisturbed flow, and that their equilibrium position depends on this, referred to as slip velocity, difference. We then present theoretical arguments, which allow us to generalize expressions for a lift force, originally suggested for some limiting cases and $Re\ll 1$, to finite-size particles in a channel flow at $Re\leqslant 20$. Our theoretical model, validated by lattice Boltzmann simulations, provides considerable insight into inertial migration of finite-size particles in a microchannel and suggests some novel microfluidic approaches to separate them by size or density at a moderate $Re$.

Ag–Mn nanoparticles: Three-dimensional finite size effect of the spin glass state

1999 ◽  
Vol 86 (11) ◽  
pp. 6571-6575 ◽  
Author(s):  
J. Ederth ◽  
A. Hoel ◽  
C. I. Johansson ◽  
L. B. Kiss ◽  
E. Olsson ◽  
...  
Keyword(s):  
Size Effect ◽  
Spin Glass ◽  
Three Dimensional ◽  
Finite Size ◽  
Spin Glass State ◽  
Finite Size Effect ◽  
Glass State

Massively Parallel Lattice-Boltzmann Simulation of Turbulent Channel Flow

1997 ◽  
Vol 08 (04) ◽  
pp. 869-877 ◽  
Author(s):  
Giorgio Amati ◽  
Sauro Succi ◽  
Renzo Piva
Keyword(s):  
Channel Flow ◽  
Lattice Boltzmann ◽  
Scaling Laws ◽  
Turbulent Channel Flow ◽  
Parallel Machine ◽  
Wall Layer ◽  
Massively Parallel ◽  
Parallel Performance ◽  
Lattice Boltzmann Simulation ◽  
Lattice Boltzmann Simulations

High resolution lattice-Boltzmann simulations of turbulent channel flow on the Quadrics parallel machine are presented. The parallel performance is discussed together with some preliminary results concerning the vorticity structures which appear near the wall layer and their influence on the scaling laws.

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