Modelling Phases Formed during Boriding for Estimation of the Depth of Boron through the Growing in Substrate by the Lattice Boltzmann Method ‎

2016 ◽  
Vol 369 ◽  
pp. 177-181
Author(s):  
A.T. Debicha ◽  
Karim Rayane ◽  
Omar Allaoui
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Boride Layer ◽  
Collision Theory ◽  
Boltzmann Method ◽  
And Diffusion

The objective of this work is to predict for a given concentration, what will be the depth of the boride layer under set conditions using collision theory between atoms and diffusion by means of the Lattice Boltzmann Method.

Detailed Electrochemistry and Gas Transport in a SOFC Anode Using the Lattice Boltzmann Method

2006 ◽  
Author(s):  
Kyle N. Grew ◽  
Abhijit S. Joshi ◽  
Aldo A. Peracchio ◽  
Wilson K. S. Chiu
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Electrochemical Reaction ◽  
Coupled Model ◽  
Transport Processes ◽  
Flux Boundary Conditions ◽  
Sofc Anode ◽  
Boltzmann Method ◽  
Electrochemical Model ◽  
And Diffusion

A coupled electrochemical reaction and diffusion model has been developed and verified for investigation of mass transport processes in Solid Oxide Fuel Cell (SOFC) anode triple-phase boundary (TPB) regions. The coupled model utilizes a two-dimensional (2D), multi-species Lattice Boltzmann Method (LBM) to model the diffusion process. The electrochemical model is coupled through localized flux boundary conditions and is a function of applied activation overpotential and the localized hydrogen and water mole fractions. This model is designed so that the effects of the anode microstructure within TPB regions can be examined in detail. Results are provided for the independent validation of the electrochemical and diffusion sub-models, as well as for the coupled model. An analysis on a single closed pore is completed and validated with a Fick's law solution. A competition between the electrochemical reaction rate and the rate of mass transfer is observed to be dependent on inlet hydrogen mole fraction. The developed model is presented such that future studies on SOFC anode microstructures can be completed.

scholarly journals Lattice Boltzmann Method and diffusion in materials with large diffusivity ratios

2017 ◽  
Vol 21 (3) ◽  
pp. 1173-1182 ◽  
Author(s):  
Édouard Walther ◽  
Rachid Bennacer ◽  
Sa De
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Heterogeneous Materials ◽  
Homogeneous Material ◽  
Pure Diffusion ◽  
Relaxation Factors ◽  
Boltzmann Method ◽  
And Diffusion

This work is centered on the safe usage of the lattice Boltzmann method for 2-D pure diffusion. The basics of the method for pure diffusion are first elucidated using a new definition given in the paper. The oscillating behavior and safe conditions of use are then explored in the case of homogeneous material as well as heterogeneous materials with circular and plane interfaces. As a conclusion, the range of valid relaxation factors is given for a correct use of lattice Boltzmann method.

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