Abstract
A new lumping technique for determining the stability of distributed systems described by a set of parabolic equations is developed. The method is used to investigate the stability characteristics of an isothermal reaction with a Langmuir—Hinshelwood rate expression occuring inside a catalytic slab. It is shown that when the diffusivities of the two reactants are quite different several pathological effects may occur. For example, a unique unstable steady state may exist forwhich the concentration profile continuously oscillates. These phenomena are likely to occur for certain hydrogenation and hydrogenolysis reactions which have complex rate expressions.
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