ASYMPTOTIC FRONT FORMATION IN HETEROGENEOUS REACTION-DIFFUSION KINETICS.

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Abstract

This paper studies the asymptotic formation and the inner structure of propagating reaction-diffusional fronts. A reversible second order adsorbtion type reaction is assumed, yielding at local equilibrium the Langmuir isotherm. Three limiting kinetic situations are discussed - that of local equilibrium, reaction control and film (pore) diffusion control. The front formation, occurring when the appropriate systems parameters tend to their specific limits, is traced in each case as an asymptotic process, upon the evolution of an initial concentration jump in a slab. The front structure associated with the above kinetic limits is described and discussed. Thus in conditions of local reaction equilibrium the front thickness is proportional to the square root of time, the inner front structure is selfsimilar and is not characterized by any typical length scale.

Original languageEnglish
Pages (from-to)879-899
Number of pages21
JournalPCH. Physicochemical hydrodynamics
Volume6
Issue number5-6
StatePublished - 1 Dec 1984
Externally publishedYes
EventPhysicochem Hydrodyn, 5th Int Conf - Tel Aviv, Isr
Duration: 16 Dec 198421 Dec 1984

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