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FINITE ELEMENT METHOD FOR SOLVING TWO-DIMENSIONAL diffusion-reaction EQUATIONS OF BOUNDARY LAYER TYPE IN POROUS CATALYST PELLET

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Chinese Journal of Chemical Engineering 1995年第2期3卷 29-41页

作者：潘天舒孙启文房鼎业朱炳辰华东理工大学上海

In this paper,finite element method(FEM)is used to solve two-dimensional diffu-sion-reaction equations of boundary layer *** kind of equations are usually too complicatedand diffcult to be solved by applying the traditional methods used in chemical engineering becauseof the steep gradients of concentration and ***,these difficulties are easy to be over-comed when the FEM is *** integraded steps of solving this kind of problems by the FEMare presented in this *** applying the FEM to the two actual examples,the conclusion can bereached that the FEM has the advantages of simplicity and good accuracy.

关键词： finite element method diffusion-reaction equation boundary layer type

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Mass Transport/diffusion and Surface reaction Process with Lattice Boltzmann

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Communications in Computational Physics 2011年第5期9卷 1362-1374页

作者： Giuseppe De Prisco Xiaowen Shan Exa Corporation 55 Network DriveBurlingtonMassachusetts 01773USA Ingrain Inc 3733 Westheimer RoadHoustonTexas 77027USA

Multi-component flow with chemical reactions is a common problem in different industrial applications:the mixing chamber of a reaction injection molding(RIM)machine;the dynamics of diesel soot particles interacting with a porous-ceramic particulate filter;reactive transport in porous media;bio-chemical processes involving enzyme-catalyzed *** all these cases,mass diffusion/convection and wall or volume chemical interactions among components play an important *** the present paper we underline the importance of diffusion/convection/reaction mechanisms in bio-chemical processes using the Lattice Boltzmann(LB)*** bio-application where we studied diffusion/convection/reaction mechanisms is the quorum-sensing pathway for the bio-synthesis of the AI-2,a molecule that allows the bacteria to launch a coordinated attack on a host immune system(see[9,10]for more details of the bio-application).The overall goal is to create a micro-device to screen potential drugs that inhibit AI-2 *** Michaelis-Menten saturation kinetic model is implemented at the reactive surface and the results are shown in terms of two dimensionless numbers:Damkohler(Da)and Peclet(Pe)*** high Pe number a small conversion of reactants into products is obtained at the reactive surface,but the overall flux of products is high;moreover,a fast saturation of the conversion of reactants to products is obtained for high Da *** trade-off for setting the Pe and Da numbers depends on the specific application and the technologies used in the micro-device(e.g.,sensitivity of the detector,cost of reactants).

关键词： Lattice Boltzmann multi-component diffusion-reaction

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diffusion AND reaction OF BENZENE HYDROGENATION OVER POROUS Ni/γ-Al_2O_3 CATALYST

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Chinese Journal of Chemical Engineering 1993年第4期1卷 28-37页

作者：葛庆峰李绍芬廖晖

The macro-kinetics of benzene hydrogenation over porous Ni/γ-Al2O3 catalyst was measured with asingle-pellet diffusion *** on the dusty-gas model,the differential equations by taking into account ofthe variation of effective diffusivities with the composition were derived to describe the diffusion and reactionprocesses of reacting species over porous *** the tortuosity factors determined under the condition ofsteady physical diffusion,the global reaction rates were calculated by solving the equations,and the results are ingood agreement with the experimental data obtained.

关键词： diffusion-reaction kinetics benzene hydrogenation multicomponent diffusion

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