Chemical Reaction and Diffusion in a Catalytic Tubular Reactor

R. E. Walker

doi:10.1063/1.1706198

Variational treatment of chemical reaction and diffusion in a catalytic tubular reactor

International Journal of Engineering Science ◽

10.1016/0020-7225(72)90097-3 ◽

1972 ◽

Vol 10 (6) ◽

pp. 553-559 ◽

Cited By ~ 3

Author(s):

J.C. Pirkle ◽

V.G. Sigillito

Keyword(s):

Chemical Reaction ◽

Tubular Reactor ◽

Variational Treatment ◽

And Diffusion ◽

Reaction And Diffusion

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

Engineering Computations ◽

10.1108/ec-02-2021-0084 ◽

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.

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Chemical‐reaction and diffusion rates in solids produced by shock compression

Journal of Applied Physics ◽

10.1063/1.336425 ◽

1986 ◽

Vol 59 (6) ◽

pp. 1956-1961 ◽

Cited By ~ 6

Author(s):

J. Kleiman ◽

P. W. C. Chan ◽

N. Salansky ◽

I. I. Glass

Keyword(s):

Shock Compression ◽

Chemical Reaction ◽

Diffusion Rates ◽

And Diffusion ◽

Reaction And Diffusion

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Drug Absorption, Metabolism, and Excretion. V. Pharmacokinetic Studies on Renal Transport. (2). Analysis of p-Aminohippurate Run Out from the Kidney Slices by using Simultaneous Chemical Reaction and Diffusion Model

Chemical and Pharmaceutical Bulletin ◽

10.1248/cpb.17.1218 ◽

1969 ◽

Vol 17 (6) ◽

pp. 1218-1224 ◽

Cited By ~ 1

Author(s):

TAMOTSU KOIZUMI ◽

JUICHIRO SHIBASAKI

Keyword(s):

Diffusion Model ◽

Chemical Reaction ◽

Drug Absorption ◽

Pharmacokinetic Studies ◽

Renal Transport ◽

Kidney Slices ◽

And Diffusion ◽

Reaction And Diffusion

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Singular perturbation for a class of coupled chemical reaction and diffusion systems

Applied Mathematics and Mechanics ◽

10.1007/bf02458723 ◽

1995 ◽

Vol 16 (6) ◽

pp. 549-556

Author(s):

Chen Songlin

Keyword(s):

Singular Perturbation ◽

Chemical Reaction ◽

Diffusion Systems ◽

And Diffusion ◽

Reaction And Diffusion

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IMC growth of Sn-3.5Ag/Cu system: Combined chemical reaction and diffusion mechanisms

Journal of Alloys and Compounds ◽

10.1016/j.jallcom.2012.04.068 ◽

2012 ◽

Vol 537 ◽

pp. 87-99 ◽

Cited By ~ 72

Author(s):

Ousama M. Abdelhadi ◽

Leila Ladani

Keyword(s):

Chemical Reaction ◽

Diffusion Mechanisms ◽

And Diffusion ◽

Reaction And Diffusion

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Analyzation of radiation absorption effect on magneto hydro dynamics Casson fluid flow with chemical reaction and diffusion-thermo effects

10.1063/5.0066426 ◽

2021 ◽

Author(s):

K. Kranthi Kumar ◽

CH. Baby Rani ◽

A. V. Papa Rao

Keyword(s):

Fluid Flow ◽

Chemical Reaction ◽

Casson Fluid ◽

Radiation Absorption ◽

Absorption Effect ◽

And Diffusion ◽

Reaction And Diffusion

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Variational solution and error bound for a nonlinear boundary value problem in chemical reaction and diffusion

Lettere al Nuovo Cimento ◽

10.1007/bf02752748 ◽

1972 ◽

Vol 5 (8) ◽

pp. 604-606

Author(s):

N. Anderson ◽

A. M. Arthurs

Keyword(s):

Boundary Value Problem ◽

Error Bound ◽

Chemical Reaction ◽

Nonlinear Boundary ◽

Boundary Value ◽

Variational Solution ◽

Nonlinear Boundary Value Problem ◽

Nonlinear Boundary Value ◽

And Diffusion ◽

Reaction And Diffusion

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Special Issue on Simulation Studies on Solid Surfaces. Prediction of the Impurity Chemical Reaction and Diffusion Mechanisms by ab initio Molecular Dynamics.

Hyomen Kagaku ◽

10.1380/jsssj.15.204 ◽

1994 ◽

Vol 15 (4) ◽

pp. 204-210

Author(s):

Hiroshi Katayama-YOSHIDA ◽

Nozomi ORITA ◽

Taizo SASAKI

Keyword(s):

Molecular Dynamics ◽

Ab Initio ◽

Chemical Reaction ◽

Solid Surfaces ◽

Ab Initio Molecular Dynamics ◽

Simulation Studies ◽

Special Issue ◽

Diffusion Mechanisms ◽

And Diffusion ◽

Reaction And Diffusion

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Multicomponent reaction and diffusion in a tubular reactor: an operator-theoretic solution

Industrial & Engineering Chemistry Fundamentals ◽

10.1021/i100022a013 ◽

1986 ◽

Vol 25 (2) ◽

pp. 258-265

Author(s):

Brian G. Turner ◽

Doraiswami Ramkrishna

Keyword(s):

Multicomponent Reaction ◽

Tubular Reactor ◽

Theoretic Solution ◽

And Diffusion ◽

Reaction And Diffusion

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