scholarly journals A computational method to simulate mono- and poly-disperse two-dimensional foams flowing in obstructed channel

2021 ◽  
Author(s):  
Thales Carl Lavoratti ◽  
Sascha Heitkam ◽  
Uwe Hampel ◽  
Gregory Lecrivain
Keyword(s):  
Field Model ◽  
Flow Direction ◽  
Phase Field Model ◽  
Computational Method ◽  
Two Dimensional ◽  
Repulsive Potential ◽  
Static Limit ◽  
Jamming Transition ◽  
Wide Range ◽  
Gas Fractions

AbstractA modified phase-field model is presented to numerically study the dynamics of flowing foam in an obstructed channel. The bubbles are described as smooth deformable fields interacting with one another through a repulsive potential. A strength of the model lies in its ability to simulate foams with wide range of gas fraction. The foam motion, composed of about hundred two-dimensional gas elements, was analyzed for gas fractions ranging from 0.4 to 0.99, that is below and beyond the jamming transition. Simulations are preformed near the quasi-static limit, indicating that the bubble rearrangement in the obstructed channel is primarily driven by the soft collisions and not by the hydrodynamics. Foam compression and relaxation upstream and downstream of the obstacle are reproduced and qualitatively match previous experimental and numerical observations. Striking dynamics, such as bubbles being squeezed by their neighbors in negative flow direction, are also revealed at intermediate gas fractions.

Side-branch growth in two-dimensional dendrites. II. Phase-field model

2005 ◽  
Vol 71 (5) ◽  
Author(s):  
R. González-Cinca ◽  
Y. Couder ◽  
A. Hernández-Machado
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Side Branch ◽  
Two Dimensional ◽  
Branch Growth

scholarly journals Effect of the Particle Size Distribution on the Cahn-Hilliard Dynamics in a Cathode of Lithium-Ion Batteries

Batteries ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 29
Author(s):  
Pavel L’vov ◽  
Renat Sibatov
Keyword(s):  
Particle Size ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Phase Field ◽  
Single Phase ◽  
Field Model ◽  
Phase Field Model ◽  
Hilliard Equation ◽  
Wide Range ◽  
Cahn Hilliard Equation

The phase-field model based on the Cahn-Hilliard equation is employed to simulate lithium intercalation dynamics in a cathode with particles of distributed size. We start with a simplified phase-field model for a single submicron particle under galvanostatic condition. We observe two stages associated with single-phase and double-phase patterns typical for both charging and discharging processes. The single-phase stage takes approximately 10–15% of the process and plays an important role in the intercalation dynamics. We establish the laws for speed of front propagation and evolution of single-phase concentration valid for different sizes of electrode particles and a wide range of temperatures and C-rates. The universality of these laws allows us to formulate the boundary condition with time-dependent flux density for the Cahn-Hilliard equation and analyze the phase-field intercalation in a heterogeneous cathode characterized by the particle size distribution.

Two-Dimensional Phase-Field Model Applied to Freezing into Supercooled Melt

2004 ◽  
Vol 2 (2) ◽  
pp. 113-124 ◽  
Author(s):  
Ying Xu ◽  
J.M. McDonough ◽  
K.A. Tagavi ◽  
Dayong Gao
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Two Dimensional ◽  
Supercooled Melt

Permeation of oil-in-water emulsions through coalescing filter: Two-dimensional simulation based on phase-field model

AIChE Journal ◽  
2016 ◽  
Vol 62 (7) ◽  
pp. 2525-2532 ◽  
Author(s):  
Yasushi Mino ◽  
Yusuke Kagawa ◽  
Hideto Matsuyama ◽  
Toru Ishigami
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Two Dimensional ◽  
Oil In Water ◽  
Simulation Based ◽  
Dimensional Simulation

DESIGN OPTIMIZATION OF A FERROELECTRIC NANO-ACTUATOR USING PHASE-FIELD MODELING

2014 ◽  
Vol 1674 ◽  
Author(s):  
Ananya Renuka Balakrishna ◽  
John E. Huber
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Two Dimensional ◽  
Phase Field Modeling ◽  
Ferroelectric Crystal ◽  
Surface Conditions ◽  
Field Modeling ◽  
Working Principle ◽  
Ferroelectric Switching

ABSTRACTA ferroelectric crystal with charge-free surface conditions contains polarized domains which can form a flux closure with zero net polarization. In the presence of an external electric field, the flux closure in a two-dimensional continuum reorients its spontaneous polarization to align with the field. Based on this concept of ferroelectric switching coupled with mechanical straining, we demonstrate the working principle of a ferroelectric nano-actuator. The behavior of the actuator is explored under the action of electro-mechanical loading and its mechanism is simulated with a 2D phase-field model. The design of nano-actuator is modified to achieve greater actuation displacements by bending a thin device.

Simulation of Radiation-Induced Segregation by the Hybrid Potts-Phase Field Model

2014 ◽  
Vol 783-786 ◽  
pp. 1872-1879
Author(s):  
Efraín Hernández-Rivera ◽  
Veena Tikare ◽  
Lu Min Wang
Keyword(s):  
Hybrid Model ◽  
Phase Field ◽  
Radiation Effects ◽  
Field Model ◽  
Ion Irradiation ◽  
Phase Field Model ◽  
Surface Roughening ◽  
Wide Range ◽  
Radiation Induced ◽  
Chemical Segregation

A hybrid model of microstructural evolution of a coupled multi–field system that is subjected to ion irradiation is presented. Materials exposed to low energy ion irradiation experience a wide range of radiation effects, e.g. surface roughening and chemical segregation. The hybrid model combines Monte Carlo methods and a phase field model to simulate the kinetic and radiation-induced processes that lead to radiation induced chemical segregation with associated phase transformations of a binary system by differential diffusivity.

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