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Analytical Solution of the Reaction‐Diffusion Process in a Permeable Spherical Catalyst
Author(s) -
Danish M.,
Kumar Sh.,
Kumar S.
Publication year - 2010
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.200900479
Subject(s) - diffusion , process (computing) , catalysis , reaction–diffusion system , adomian decomposition method , scheme (mathematics) , diffusion process , mathematics , thermodynamics , materials science , mathematical analysis , computer science , chemistry , physics , partial differential equation , organic chemistry , innovation diffusion , knowledge management , operating system
Abstract The limitations of the existing Adomian solution for the reaction‐diffusion process in a spherical catalyst were shown and an improved solution, overcoming these restrictions, was proposed by using a novel scheme of the restarted Adomian method coupled with orthogonal polynomials. This scheme is also applicable to other similar problems and yields short and accurate expressions, thus confirming the general and effective nature of the approach.