Premium
Analysis of autocatalytic reactions in isothermal catalyst particles
Author(s) -
Hu R.,
Sapre A. V.
Publication year - 1990
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690360304
Subject(s) - autocatalysis , isothermal process , thiele modulus , thermodynamics , quadratic equation , chemistry , catalysis , bifurcation , multiplicity (mathematics) , mathematics , physics , mathematical analysis , organic chemistry , quantum mechanics , geometry , nonlinear system
Multiplicity features of autocatalytic reactions in isothermal catalyst particles with diffusion interaction are presented. Discussed also are two types of autocatalytic reactions— A + B → 2 B (quadratic) and A + 2 B → 3 B (cubic)—and a decay reaction for autocatalyst B , B → C , and a nonautocatalytic reaction, A → B , which generates the autocatalyst. For quadratic reactions, the bifurcation diagrams for a catalyst particle are similar to those for a CSTR. The location of the branch solution, however, is somewhat different. For cubic autocatalytic reactions, the exact parameter regions, where the isola, mushroom, reverse‐ S , and reverse‐ S ‐plus‐isola patterns of bifurcation exist, are determined. Furthermore, the parameter space, where a unique solution exists for all Thiele moduli, is also given.