Decoupling Electrochemical Reaction and Diffusion Processes in Ionically-Conductive Solids on the Nanometer Scale

ACS Nano ◽  
2010 ◽  
Vol 4 (12) ◽  
pp. 7349-7357 ◽  
Author(s):  
Nina Balke ◽  
Stephen Jesse ◽  
Yoongu Kim ◽  
Leslie Adamczyk ◽  
Ilia N. Ivanov ◽  
...  
Keyword(s):  
Diffusion Processes ◽  
Electrochemical Reaction ◽  
Nanometer Scale ◽  
And Diffusion ◽  
Reaction And Diffusion

A computational model for diffusion-reaction-deformation coupled problems and its finite element implementation

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Bao Qin ◽  
Yexin Zhou ◽  
Zheng Zhong
Keyword(s):  
Finite Element ◽  
Chemical Reaction ◽  
Reaction Rate ◽  
Diffusion Processes ◽  
Diffusion Reaction ◽  
Governing Equations ◽  
Content Type ◽  
Finite Element Software ◽  
And Diffusion ◽  
Reaction And Diffusion

PurposeA diffusion-reaction-deformation coupled model is employed and implemented as a user-defined element (UEL) subroutine in the commercial finite element software package ABAQUS.Design/methodology/approachChemical reaction and diffusion are treated as two distinct processes by introducing the extent of reaction and the diffusion concentration as two kinds of independent variables, for which the independent governing equations for chemical reaction and diffusion processes are obtained. Furthermore, an exponential form of chemical kinetics, instead of the linearly phenomenological relation, between the reaction rate and the chemical affinity is used to describe reaction process. As a result, complex chemical reaction can be simulated, no matter it is around or away from equilibrium.FindingsTwo numerical examples are presented, one for validation of the model and another for the modeling of the deflection of a plane caused by a chemical reaction.Originality/value1. Independent governing equations for diffusion and reaction processes are given. 2. An exponential relation between the reaction rate and its driving force is employed. 3. The UEL subroutine is used to implement the finite element procedure.

Biological self-organisation and pattern formation by way of microtubule reaction-diffusion processes

1999 ◽  
Vol 02 (03) ◽  
pp. 221-276 ◽  
Author(s):  
James Tabony ◽  
Laurent Vuillard ◽  
Cyril Papaseit
Keyword(s):  
Pattern Formation ◽  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Underlying Process ◽  
Self Organisation ◽  
And Diffusion ◽  
Reaction And Diffusion

Chemically dissipative or Turing processes, have been predicted by theoreticians as a way by which an initially homogenous solution of chemicals or biochemicals can spontaneously self-organise and give rise to a macroscopic pattern by way of a combination of reaction and diffusion. They have been advanced as a possible underlying process for biological self-organisation and pattern formation. Until now, there have been no examples of in vitro biological substances showing this type of behaviour. Evidence is presented that microtubule solutions in vitro self-organise in this manner and that similar processes may occur in vivo during embryogenesis.

Theoretical Analysis of Reaction and Diffusion Processes in a Biofuel Cell Electrode

Fuel Cells ◽  
2015 ◽  
Vol 15 (3) ◽  
pp. 523-536 ◽  
Author(s):  
K. Saravanakumar ◽  
SP. Ganesan ◽  
L. Rajendran
Keyword(s):  
Theoretical Analysis ◽  
Diffusion Processes ◽  
Biofuel Cell ◽  
Cell Electrode ◽  
And Diffusion ◽  
Reaction And Diffusion
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