TY - JOUR
T1 - Spatiotemporal patterns in models of cross-flow reactors
AU - Sheintuch, Moshe
AU - Nekhamkina, Olga
N1 - Funding Information:
This work was supported by the Volkswagen-Stiftung Foundation. MS is a member of the Minerva Center of Nonlinear Dynamics. OA is partially supported by the Center for Absorption in Science, Ministry of Immigrant Absorption State of Israel.
PY - 2001/11/1
Y1 - 2001/11/1
N2 - We review the behavior of stationary and moving spatially periodic patterns in a simple cross-flow fixed-bed reactor with a first-order exothermic reaction subject to the Danckwert's boundary conditions and realistically high Le and Pe. Spatiotemporal patterns emerge due to the interaction of concentration and temperature balances, much like dynamic patterns in a CSTR. Moving waves emerge in an unbounded system, but they transform into stationary spatially inhomogeneous patterns in a bounded system above certain Pe threshold. The critical parameters of this threshold are derived analytically. A weakly nonlinear analysis is used in order to derive the governing amplitude equation. The spatial behavior in the bounded system with Pe → ∞ is analogous to the temporal behavior of the simple thermokinetic CSTR problem and the behavior of the distributed system is classified according to that of the lumped one. Both regular kinetics and oscillatory one (with reversible catalytic activity) are considered. Suggestions for experimental realization of these phenomena are discussed.
AB - We review the behavior of stationary and moving spatially periodic patterns in a simple cross-flow fixed-bed reactor with a first-order exothermic reaction subject to the Danckwert's boundary conditions and realistically high Le and Pe. Spatiotemporal patterns emerge due to the interaction of concentration and temperature balances, much like dynamic patterns in a CSTR. Moving waves emerge in an unbounded system, but they transform into stationary spatially inhomogeneous patterns in a bounded system above certain Pe threshold. The critical parameters of this threshold are derived analytically. A weakly nonlinear analysis is used in order to derive the governing amplitude equation. The spatial behavior in the bounded system with Pe → ∞ is analogous to the temporal behavior of the simple thermokinetic CSTR problem and the behavior of the distributed system is classified according to that of the lumped one. Both regular kinetics and oscillatory one (with reversible catalytic activity) are considered. Suggestions for experimental realization of these phenomena are discussed.
KW - Moving and standing waves
KW - Reactor
KW - Spatiotemporal patterns
UR - http://www.scopus.com/inward/record.url?scp=0035504903&partnerID=8YFLogxK
U2 - 10.1016/S0920-5861(01)00345-5
DO - 10.1016/S0920-5861(01)00345-5
M3 - 会议文章
AN - SCOPUS:0035504903
SN - 0920-5861
VL - 70
SP - 383
EP - 391
JO - Catalysis Today
JF - Catalysis Today
IS - 4
T2 - Spatiotemporal Catalytic Patterns (SHEINTUCH S.I.)
Y2 - 15 October 2000 through 15 October 2000
ER -