Assessment of a POD method for the dynamical analysis of a catalyst pellet with simultaneous chemical reaction, adsorption and diffusion: Uniform temperature case

2017 ◽  
Vol 97 ◽  
pp. 259-270 ◽  
Author(s):  
Katarzyna Bizon
Keyword(s):  
Chemical Reaction ◽  
Dynamical Analysis ◽  
Uniform Temperature ◽  
Catalyst Pellet ◽  
And Diffusion

scholarly journals A review of the deterministic and diffusion approximations for stochastic chemical reaction networks

2018 ◽  
Vol 123 (2) ◽  
pp. 289-312 ◽  
Author(s):  
Pavel Mozgunov ◽  
Marco Beccuti ◽  
Andras Horvath ◽  
Thomas Jaki ◽  
Roberta Sirovich ◽  
...  
Keyword(s):  
Chemical Reaction ◽  
Chemical Reaction Networks ◽  
Reaction Networks ◽  
Diffusion Approximations ◽  
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.

Integral method of analysis for chemical reaction in a nonisothermal finite cylindrical catalyst pellet-II. Robin problem

1987 ◽  
Vol 42 (1) ◽  
pp. 35-40 ◽  
Author(s):  
Suryanarayana Mukkavilli ◽  
Lawrence L. Tavlarides ◽  
Charles V. Wittmann
Keyword(s):  
Chemical Reaction ◽  
Integral Method ◽  
Robin Problem ◽  
Catalyst Pellet

scholarly journals Dynamical Analysis of Dual Product Information Diffusion considering Preference in Complex Networks

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Liang’an Huo ◽  
Xiaoxiao Xie
Keyword(s):  
Complex Networks ◽  
Information Diffusion ◽  
Product Information ◽  
Mean Field ◽  
Dynamical Analysis ◽  
Critical Threshold ◽  
Technology Products ◽  
Information Diffusion Model ◽  
And Diffusion ◽  
Theory And Model

With the development of science and technology, products are being updated more and more quickly. Therefore, the diffusion of product information can make people better choose products. It is very meaningful to study the competition and diffusion of multiple product information. In this paper, the dual product information diffusion model with preference was proposed based on the mean-field equation in complex networks. The dynamic of the model was analyzed by the analysis of Markov chains. According to the Monte Carlo simulation mechanism, the critical threshold of product information was obtained. The accuracy of the theory and model results is verified by computer simulation, and the scenarios in which the two products information are mutually promoted and mutually suppressed are simulated.

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