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Stationary spatially complex solutions in cross‐flow reactors with two reactions
Author(s) -
Sheintuch Moshe,
Nekhamkina Olga
Publication year - 2003
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.690490515
Subject(s) - chaotic , ode , flow (mathematics) , statistical physics , mechanics , sequence (biology) , simple (philosophy) , bifurcation , kinetics , belousov–zhabotinsky reaction , biological system , period doubling bifurcation , chemistry , physics , mathematics , thermodynamics , computer science , classical mechanics , nonlinear system , biology , biochemistry , philosophy , epistemology , artificial intelligence , quantum mechanics
Formation of stationary spatially multiperiodic or even chaotic patterns is analyzed for a simple model of a cross‐flow reactor with two consecutive reactions and realistically high Le and Pe. Spatial patterns emerge much like dynamic temporal patterns in a mixed system of the same kinetics. The sequence of period doubling bifurcations is determined for the corresponding ODE system and is completely confirmed by direct numerical simulations of the full PDE model. The incorporation of a slow nondiffusing inhibitor led to chaotic spatiotemporal patterns.