Spatiotemporal patterns in models of cross-flow reactors. Regular and oscillatory kinetics

TY - JOUR

T1 - Spatiotemporal patterns in models of cross-flow reactors. Regular and oscillatory kinetics

AU - Nekhamkina, Olga

AU - Rubinstein, Boris Y.

AU - Sheintuch, Moshe

N1 - Funding Information: This work was supported by the Volkswagen-Stiftung Foundation. M.S. and B.R. are members of the Minerva Center of Nonlinear Dynamics. O.N. is partially supported by the Center for Absorption in Science, Ministry of Immigrant Absorption State of Israel.

PY - 2001/2

Y1 - 2001/2

N2 - We simulate and analyze the behavior of stationary and moving spatially periodic patterns in a simple cross-flow reactor with a first-order exothermic reactor and realistically high Pe and Le. Novel nonTuring stationary patterns emerge due to reactor-diffusion-convection interaction in the simple model that incorporates only concentration and temperature as its variables. We extend our previous analysis to account for reversible changes in a catalytic activity. We conduct linear and weakly nonlinear analysis around the critical point - the perturbation amplification threshold, as well as numerical simulations. For the limit case Pe → ∞ the spatial behavior of the distributed system is analogous to the temporal behavior of the related CSTR problem. In the vicinity of the bifurcation point the emerging spatiotemporal patterns drastically depends on the type of a phase plane and both regular and aperiodic (chaotic) behavior was observed.

AB - We simulate and analyze the behavior of stationary and moving spatially periodic patterns in a simple cross-flow reactor with a first-order exothermic reactor and realistically high Pe and Le. Novel nonTuring stationary patterns emerge due to reactor-diffusion-convection interaction in the simple model that incorporates only concentration and temperature as its variables. We extend our previous analysis to account for reversible changes in a catalytic activity. We conduct linear and weakly nonlinear analysis around the critical point - the perturbation amplification threshold, as well as numerical simulations. For the limit case Pe → ∞ the spatial behavior of the distributed system is analogous to the temporal behavior of the related CSTR problem. In the vicinity of the bifurcation point the emerging spatiotemporal patterns drastically depends on the type of a phase plane and both regular and aperiodic (chaotic) behavior was observed.

KW - Catalytic packed bed

KW - Nonlinear dynamics

KW - Numerical simulation

KW - Oscillations

KW - Stability analysis

UR - http://www.scopus.com/inward/record.url?scp=0035247744&partnerID=8YFLogxK

U2 - 10.1016/S0009-2509(00)00288-8

DO - 10.1016/S0009-2509(00)00288-8

M3 - 文章

AN - SCOPUS:0035247744

SN - 0009-2509

VL - 56

SP - 771

EP - 778

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 3

ER -