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Communications on the theory of diffusion and reaction—VIII Variational bounds on the effectiveness factor

✍ Scribed by S. Rester; R. Aris

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
932 KB
Volume
27
Category
Article
ISSN
0009-2509

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✦ Synopsis

It is shown how upper and lower bounds to the effectiveness factor may be obtained by variational methods. The formulae are developed to be capable of handling mass transferresistance at the surface of the catalyst particle, a diffusion coefficient which depends upon position in the particle, and a non-linear but monotonic increasing reaction rate function. Such bounds are developed for two catalysts: those in which the reaction occurs at every point, and those in which the reaction occurs on discrete active surfaces distributed throughout an inert particle. It is shown how these bounds may be used to analyze experimental data taken for a first order reaction.

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NOTATION ra & a component transferring into phase of interest f A concentration of a, moles/l A, interfacial concentration of component a, moles/l ; b component already present in phase of interest B concentration of b, moles/l B, initial concentration of component b, moles/l 5 REFERENCES diffusivit