Transversal patterns in three-dimensional packed bed reactors: Oscillatory kinetics

Olga Nekhamkina; Moshe Sheintuch

doi:10.1002/aic.12199

Transversal patterns in three-dimensional packed bed reactors: Oscillatory kinetics

Olga Nekhamkina^*, Moshe Sheintuch

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Formation of transversal patterns in a 3D cylindrical reactor is studied with a catalytic reactor model in which an exothermic first-order reaction of Arrhenius kinetics occurs with a variable catalytic activity. Under these oscillatory kinetics, the system exhibits a planar front (1D) solution with the front position oscillating in the axial direction. Three types of patterns were simulated in the 3D system: rotating fronts, oscillating fronts with superimposed transversal (nonrotating) oscillations, and mixed rotating-oscillating fronts. These solutions coexist with the planar front solution and require special initial conditions. We map bifurcation diagrams showing domains of different modes using the reactor radius as a bifurcation parameter. The possible reduction of the 3D model to the 2D cylindrical shell model is discussed.

Original language	English
Pages (from-to)	2887-2897
Number of pages	11
Journal	AICHE Journal
Volume	56
Issue number	11
DOIs	https://doi.org/10.1002/aic.12199
State	Published - Nov 2010
Externally published	Yes

Keywords

Bifurcations
Fronts
Process
Reactor analysis
Simulation
Transversal patterns

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10.1002/aic.12199

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abstract = "Formation of transversal patterns in a 3D cylindrical reactor is studied with a catalytic reactor model in which an exothermic first-order reaction of Arrhenius kinetics occurs with a variable catalytic activity. Under these oscillatory kinetics, the system exhibits a planar front (1D) solution with the front position oscillating in the axial direction. Three types of patterns were simulated in the 3D system: rotating fronts, oscillating fronts with superimposed transversal (nonrotating) oscillations, and mixed rotating-oscillating fronts. These solutions coexist with the planar front solution and require special initial conditions. We map bifurcation diagrams showing domains of different modes using the reactor radius as a bifurcation parameter. The possible reduction of the 3D model to the 2D cylindrical shell model is discussed.",

keywords = "Bifurcations, Fronts, Process, Reactor analysis, Simulation, Transversal patterns",

author = "Olga Nekhamkina and Moshe Sheintuch",

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T1 - Transversal patterns in three-dimensional packed bed reactors

T2 - Oscillatory kinetics

AU - Nekhamkina, Olga

AU - Sheintuch, Moshe

PY - 2010/11

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N2 - Formation of transversal patterns in a 3D cylindrical reactor is studied with a catalytic reactor model in which an exothermic first-order reaction of Arrhenius kinetics occurs with a variable catalytic activity. Under these oscillatory kinetics, the system exhibits a planar front (1D) solution with the front position oscillating in the axial direction. Three types of patterns were simulated in the 3D system: rotating fronts, oscillating fronts with superimposed transversal (nonrotating) oscillations, and mixed rotating-oscillating fronts. These solutions coexist with the planar front solution and require special initial conditions. We map bifurcation diagrams showing domains of different modes using the reactor radius as a bifurcation parameter. The possible reduction of the 3D model to the 2D cylindrical shell model is discussed.

AB - Formation of transversal patterns in a 3D cylindrical reactor is studied with a catalytic reactor model in which an exothermic first-order reaction of Arrhenius kinetics occurs with a variable catalytic activity. Under these oscillatory kinetics, the system exhibits a planar front (1D) solution with the front position oscillating in the axial direction. Three types of patterns were simulated in the 3D system: rotating fronts, oscillating fronts with superimposed transversal (nonrotating) oscillations, and mixed rotating-oscillating fronts. These solutions coexist with the planar front solution and require special initial conditions. We map bifurcation diagrams showing domains of different modes using the reactor radius as a bifurcation parameter. The possible reduction of the 3D model to the 2D cylindrical shell model is discussed.

KW - Bifurcations

KW - Fronts

KW - Process

KW - Reactor analysis

KW - Simulation

KW - Transversal patterns

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DO - 10.1002/aic.12199

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SN - 0001-1541

VL - 56

SP - 2887

EP - 2897

JO - AICHE Journal

JF - AICHE Journal

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ER -

Transversal patterns in three-dimensional packed bed reactors: Oscillatory kinetics

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Keywords

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