Analysis of autocatalytic reactions in isothermal catalyst particles

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.