Thermal patterns in simple models of cylindrical reactors

Moshe Sheintuch; Olga Nekhamkina

doi:10.1016/S0009-2509(02)00677-2

Thermal patterns in simple models of cylindrical reactors

Moshe Sheintuch^*, Olga Nekhamkina

^*Corresponding author for this work

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

12 Scopus citations

Abstract

The propagation of fronts and the emergence of spatiotemporal patterns on a cylindrically shaped thin catalytic reactor is simulated with a homogeneous model of a fixed catalytic bed, with characteristically large Lewis and Peclet numbers, and a first-order Arrhenius kinetics (i.e., thermokinetic model) which may be coupled with slow changes of catalytic activity (i.e., oscillatory kinetics). Planar fronts of the thermokinetic model may undergo symmetry breaking in the transversal direction only at relatively low Lewis number, but for high Le the front remains flat. Patterns due to oscillatory kinetics in reactors of high Le are shown, for the first time, to undergo symmetry breaking in the azimuthal direction when the perimeter is sufficiently large. The generic regular patterns simulated then are rotating multi-wave patterns of constant rotation-speed and oscillatory-'firing' ones, and theirs selection is highly sensitive to governing parameters and initial conditions. The results are organized in bifurcation diagrams showing the coexisting two-dimensional solutions with varying perimeter. Increasing convective velocity or reactor radius leads to symmetry breaking of regular patterns and the system may switch to chaos.

Original language	English
Pages (from-to)	1441-1451
Number of pages	11
Journal	Chemical Engineering Science
Volume	58
Issue number	8
DOIs	https://doi.org/10.1016/S0009-2509(02)00677-2
State	Published - Apr 2003
Externally published	Yes

Keywords

Catalytic oscillations
Packed bed
Pattern formation
Reaction engineering
Simulation

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10.1016/S0009-2509(02)00677-2

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title = "Thermal patterns in simple models of cylindrical reactors",

abstract = "The propagation of fronts and the emergence of spatiotemporal patterns on a cylindrically shaped thin catalytic reactor is simulated with a homogeneous model of a fixed catalytic bed, with characteristically large Lewis and Peclet numbers, and a first-order Arrhenius kinetics (i.e., thermokinetic model) which may be coupled with slow changes of catalytic activity (i.e., oscillatory kinetics). Planar fronts of the thermokinetic model may undergo symmetry breaking in the transversal direction only at relatively low Lewis number, but for high Le the front remains flat. Patterns due to oscillatory kinetics in reactors of high Le are shown, for the first time, to undergo symmetry breaking in the azimuthal direction when the perimeter is sufficiently large. The generic regular patterns simulated then are rotating multi-wave patterns of constant rotation-speed and oscillatory-'firing' ones, and theirs selection is highly sensitive to governing parameters and initial conditions. The results are organized in bifurcation diagrams showing the coexisting two-dimensional solutions with varying perimeter. Increasing convective velocity or reactor radius leads to symmetry breaking of regular patterns and the system may switch to chaos.",

keywords = "Catalytic oscillations, Packed bed, Pattern formation, Reaction engineering, Simulation",

author = "Moshe Sheintuch and Olga Nekhamkina",

note = "Funding Information: Work supported by the US-Israel Binational Science Foundation. MS is a member of the Minerva Center of Nonlinear Physics of Complex Systems. ON acknowledges partial support by the Center for Absorption in Science, Ministry of Immigrant Absorption, State of Israel. ",

year = "2003",

month = apr,

doi = "10.1016/S0009-2509(02)00677-2",

language = "英语",

volume = "58",

pages = "1441--1451",

journal = "Chemical Engineering Science",

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T1 - Thermal patterns in simple models of cylindrical reactors

AU - Sheintuch, Moshe

AU - Nekhamkina, Olga

N1 - Funding Information: Work supported by the US-Israel Binational Science Foundation. MS is a member of the Minerva Center of Nonlinear Physics of Complex Systems. ON acknowledges partial support by the Center for Absorption in Science, Ministry of Immigrant Absorption, State of Israel.

PY - 2003/4

Y1 - 2003/4

N2 - The propagation of fronts and the emergence of spatiotemporal patterns on a cylindrically shaped thin catalytic reactor is simulated with a homogeneous model of a fixed catalytic bed, with characteristically large Lewis and Peclet numbers, and a first-order Arrhenius kinetics (i.e., thermokinetic model) which may be coupled with slow changes of catalytic activity (i.e., oscillatory kinetics). Planar fronts of the thermokinetic model may undergo symmetry breaking in the transversal direction only at relatively low Lewis number, but for high Le the front remains flat. Patterns due to oscillatory kinetics in reactors of high Le are shown, for the first time, to undergo symmetry breaking in the azimuthal direction when the perimeter is sufficiently large. The generic regular patterns simulated then are rotating multi-wave patterns of constant rotation-speed and oscillatory-'firing' ones, and theirs selection is highly sensitive to governing parameters and initial conditions. The results are organized in bifurcation diagrams showing the coexisting two-dimensional solutions with varying perimeter. Increasing convective velocity or reactor radius leads to symmetry breaking of regular patterns and the system may switch to chaos.

AB - The propagation of fronts and the emergence of spatiotemporal patterns on a cylindrically shaped thin catalytic reactor is simulated with a homogeneous model of a fixed catalytic bed, with characteristically large Lewis and Peclet numbers, and a first-order Arrhenius kinetics (i.e., thermokinetic model) which may be coupled with slow changes of catalytic activity (i.e., oscillatory kinetics). Planar fronts of the thermokinetic model may undergo symmetry breaking in the transversal direction only at relatively low Lewis number, but for high Le the front remains flat. Patterns due to oscillatory kinetics in reactors of high Le are shown, for the first time, to undergo symmetry breaking in the azimuthal direction when the perimeter is sufficiently large. The generic regular patterns simulated then are rotating multi-wave patterns of constant rotation-speed and oscillatory-'firing' ones, and theirs selection is highly sensitive to governing parameters and initial conditions. The results are organized in bifurcation diagrams showing the coexisting two-dimensional solutions with varying perimeter. Increasing convective velocity or reactor radius leads to symmetry breaking of regular patterns and the system may switch to chaos.

KW - Catalytic oscillations

KW - Packed bed

KW - Pattern formation

KW - Reaction engineering

KW - Simulation

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U2 - 10.1016/S0009-2509(02)00677-2

DO - 10.1016/S0009-2509(02)00677-2

M3 - 文章

AN - SCOPUS:0037394773

SN - 0009-2509

VL - 58

SP - 1441

EP - 1451

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 8

ER -

Thermal patterns in simple models of cylindrical reactors

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Keywords

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