On the perturbation solution of interface-reaction controlled diffusion in solids

Zhi-Wei Cui; Feng Gao; Jian-Min Qu

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On the perturbation solution of interface-reaction controlled diffusion in solids

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Insertion of species A into species B forms a product P through two kinetic processes,namely,(1) the chemical reaction between A and B that occurs at the B-P interface,and (2) the diffusion of species A in product P.These two processes are symbiotic in that the chemical reaction provides the driving force for the diffusion,while the diffusion sustains the chemical reaction by providing sufficient reactant to the reactive interface.In this paper,a mathematical framework is developed for the coupled reactiondiffusion processes.The resulting system of boundary and initial value problem is solved analytically for the case of interface-reaction controlled diffusion,i.e.,the rate of diffusion is much faster than the rate of chemical reaction at the interface so that the final kinetics are limited by the interface chemical reaction.Asymptotic expressions are given for the velocity of the reactive interface and the concentration of diffusing species under two different boundary conditions.

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《力学学报：英文版》 |2012年第004期|1049-1057|共9页
作者
Zhi-Wei Cui; Feng Gao; Jian-Min Qu;
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Department of Civil and Environmental Engineering Department of Mechanical Engineering Northwestern University, 60208 Evanston, USA;

Department of Civil and Environmental Engineering Department of Mechanical Engineering Northwestern University, 60208 Evanston, USA;

Department of Civil and Environmental Engineering Department of Mechanical Engineering Northwestern University, 60208 Evanston, USA;

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On the perturbation solution of interface-reaction controlled diffusion in solids

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