scholarly journals Quantitative Analysis of Phase Separation Using the Lattice Boltzmann Method

2021 ◽  
Vol 9 ◽  
Author(s):  
Xiaoqi Li ◽  
Jichao Fang ◽  
Bingyu Ji
Keyword(s):  
Phase Separation ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Statistical Index ◽  
Complex Phase ◽  
Phase Separations ◽  
Structure Factors ◽  
Multiphase Systems ◽  
Two Phases ◽  
Boltzmann Method

Phase separation is widely observed in multiphase systems. In this study, it has been investigated using Shan–Chen lattice Boltzmann method. The adhesion parameter in SC model leads to the desired fluid–fluid phenomenon, which was varied to specify the strength of separation between two phases to present emulsified performance in oil production. In order to describe such behaviors quantitatively, graphical distributions were described with time and were corresponded with a statistical index–Fourier structure factor that is able to predict complex phase separation behaviors, thereby providing a measurement for calculating such random distribution during the process of separation as well as evaluating heterogeneous degrees of the entire domain. The repulsive interactions are specified as low, intermediate, and high values. Phase separations with clear boundaries have been observed and each stage of separation evolvement has been discussed in this study. Magnitudes of structure factors are increased with higher degrees of fluctuations.

scholarly journals Simulating liquid-vapor phase separation under shear with lattice Boltzmann method

2009 ◽  
Vol 52 (9) ◽  
pp. 1337-1344 ◽  
Author(s):  
Ce Wang ◽  
AiGuo Xu ◽  
GuangCai Zhang ◽  
YingJun Li
Keyword(s):  
Phase Separation ◽  
Lattice Boltzmann Method ◽  
Vapor Phase ◽  
Lattice Boltzmann ◽  
Boltzmann Method ◽  
Liquid Vapor

Lattice Boltzmann Method for Simulating Phase Separation of Sheared Binary Fluids with Reversible Chemical Reaction

2017 ◽  
Vol 10 (3) ◽  
pp. 656-670 ◽  
Author(s):  
Xiaoyu Wang ◽  
Jie Ouyang ◽  
Heng Yang ◽  
Jianwei Liu
Keyword(s):  
Phase Separation ◽  
Lattice Boltzmann Method ◽  
Chemical Reaction ◽  
Lattice Boltzmann ◽  
Finite Size ◽  
Reaction Rates ◽  
Growth Exponent ◽  
Binary Fluids ◽  
Reversible Chemical Reaction ◽  
Boltzmann Method

AbstractA lattice Boltzmann method is utilized for governing equations which control phase separation of binary fluids with reversible chemical reaction in presence of a shear flow in this paper. We first present the morphology modeling of sheared binary fluids with reversible chemical reaction. We then validate the model by taking the unsheared binary fluids as an example. It is found that the results fit well with the references. The paper shows structures of the sheared system and gives the detailed analysis for the morphology of sheared binary fluids with reversible chemical reaction. The phase separation of the domain structures with different chemical reaction rates is discussed. Through simulations of the sheared binary fluids, two interesting phenomena are observed, which do not exist in a binary mixture without reversible chemical reaction. One is that the same results appear in both low and high viscosity, and the other is that the domain growth exponent with both low and high viscosities presents wave due to the competition of the viscosity and phase separation. In addition, we find that the finite size effects resulting in the growth exponent decreasing appear faster than that of the unsheared blend at a large time when the size of domains is comparable with the lattice size.

scholarly journals Simulation of phase separation in a Van der Waals fluid under gravitational force with Lattice Boltzmann method

2019 ◽  
Vol 29 (9) ◽  
pp. 3095-3109 ◽  
Author(s):  
Ezequiel Oscar Fogliatto ◽  
Alejandro Clausse ◽  
Federico Eduardo Teruel
Keyword(s):  
Phase Separation ◽  
Numerical Simulations ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Van Der Waals ◽  
Numerical Results ◽  
Density Profiles ◽  
Content Type ◽  
Boltzmann Method ◽  
Liquid Vapor

PurposeThis paper aims to assess the accuracy of Lattice Boltzmann method (LBM) for numerical simulation of the stratification of a Van der Waals (VdW) fluid subjected to a gravity field and non-uniform temperature distribution. A sensitivity analysis of the influence of the pseudopotential parameters and the grid resolution is presented. The effect of gravity force on interface densities, density profiles and liquid volume fraction is studied.Design/methodology/approachThe D2Q9 multiple-relaxation-time pseudopotential LBM for two-phase flow is proposed to simulate the phase separation. The analytical solution for density profiles in a one-dimensional problem is derived and used as a benchmark case to validate the numerical results.FindingsThe numerical results reproduce the analytical density profiles with great accuracy over a wide range of simulation conditions, including variations of the gravity and temperature fields. Particularly, the numerical simulations are able to represent the effect of gravity on the existence and position of the liquid–vapor boundary of an ideal pure substance in thermodynamic equilibrium. The sensitivity of the results to variations of the calibration parameters of the VdW pseudopotential was assessed.Research limitations/implicationsThe numerical simulations were performed assuming a VdW fluid in a 2-D cavity with one periodic direction for which analytical solutions for benchmarking purposes are possible to obtain.Originality/valueThe following fundamental question is addressed: Is the pseudopotential LBM capable of simulating accurately the liquid–vapor equilibrium under gravity forces and temperature gradients? Moreover, regarding that the pseudopotential model requires the calibration of several internal parameters to achieve thermodynamic consistency, the sensitivity of the results to variations of these parameters is assessed.

Enslaved Phase-Separation Fronts and Liesegang Pattern Formation

2011 ◽  
Vol 9 (5) ◽  
pp. 1081-1093 ◽  
Author(s):  
E. M. Foard ◽  
A. J. Wagner
Keyword(s):  
Phase Separation ◽  
Pattern Formation ◽  
Numerical Simulations ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Critical Value ◽  
Exact Form ◽  
Analytical Derivation ◽  
Boltzmann Method

AbstractWe show that an enslaved phase-separation front moving with diffusive speeds can leave alternating domains of increasing size in their wake. We find the size and spacing of these domains is identical to Liesegang patterns. For equal composition of the components we are able to predict the exact form of the pattern analytically. To our knowledge this is the first fully analytical derivation of the Liesegang laws. We also show that there is a critical value for C below which only two domains are formed. Our analytical predictions are verified by numerical simulations using a lattice Boltzmann method.

Simulation of Laser-Induced Cavitation with Lattice Boltzmann Method

2012 ◽  
Vol 538-541 ◽  
pp. 1833-1836
Author(s):  
Yu Deng ◽  
Zhong Ning Guo ◽  
Zhi Gang Huang
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
High Speed ◽  
Physical Phenomenon ◽  
Initial Condition ◽  
Small Field ◽  
Bubble Wall ◽  
Two Phases ◽  
Set Up ◽  
Boltzmann Method

In this paper, the Lattice Boltzmann Method is applied to set up the numerical model of cavitations. In order to simplify the model without losing the accuracy of simulation, the movement of the bubble wall is considered as the boundary condition for the gas and as initial condition for the fluid so the two phases (gas-fluid) physical phenomenon is divided into two simple models which are connected by the bubble wall. In the simulation, through the analysis of the velocity and the pressure distribution, it is found out that the symmetric bubble is characteristic with pulsation and high speed shock that are limited in a small field with radius of 7mm during the bubble growth. And it noted that the bubble is circularly collapsed for the symmetric velocity distribution.

Numerical Simulation of the Nanofluid Phase Separation by Lattice Boltzmann Method

2014 ◽  
Vol 989-994 ◽  
pp. 619-622
Author(s):  
Shou Guang Yao ◽  
Xin Wang Jia ◽  
Chang Jiang Zhou ◽  
Yu Hong Nie
Keyword(s):  
Phase Separation ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Base Fluid ◽  
Pure Water ◽  
Lattice Boltzmann Model ◽  
Multiphase Model ◽  
Two Phase ◽  
Separation Phase ◽  
Boltzmann Method

Using shan-chen model of lattice Boltzmann method,considering the interaction between nanoparticles and base fluid, by modifying the nanofluids single-component multiphase model, established the nanofluid multi-component heterogeneous lattice Boltzmann model. The model was used to simulate square cavity phase separation of nanofluids, get the Nanofluid separation phase diagram, compared it with pure water phase separation diagram, the results show that, nanofluid in gas-liquid two phase separation process, the addition of nanoparticles is beneficial to produce bubbles, meanwhile the addition of nanoparticles caused a micro convection inside the base fluid, improved the performance of the spread of the base fluid, leaded to the transmission effect, hindered the coalescence of bubbles.

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