Spatiotemporal patterns in models of cross-flow reactors

Moshe Sheintuch*, Olga Nekhamkina

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations


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.

Original languageEnglish
Pages (from-to)383-391
Number of pages9
JournalCatalysis Today
Issue number4
StatePublished - 1 Nov 2001
Externally publishedYes
EventSpatiotemporal Catalytic Patterns (SHEINTUCH S.I.) - Haifa, Israel
Duration: 15 Oct 200015 Oct 2000


  • Moving and standing waves
  • Reactor
  • Spatiotemporal patterns


Dive into the research topics of 'Spatiotemporal patterns in models of cross-flow reactors'. Together they form a unique fingerprint.

Cite this