Complex nonlinear behaviour of a fixed bed reactor with reactant recycle

Bodil Recke, Sten Bay Jørgensen

Research output: Contribution to journalConference articleResearchpeer-review

Abstract

The fixed bed reactor with reactant recycle investigated in this paper can exhibit periodic solutions. These solutions bifurcate from the steady state in a Hopf bifurcation. The Hopf bifurcation encountered at the lowest value of the inlet concentration turns the steady state unstable and marks the emergence of a stable periodic solution. This periodic solution in turn undergoes a period doubling leaving it unstable and giving rise to a stable period 2 solution. It is know that if the system possesses one period doubling it often also has the possibility of posessing a chaotic attractor. It is shown,that the dynamic behaviour of a fixed bed reactor with reactant recycle is much more complex than previously reported.
Original languageEnglish
JournalComputers & Chemical Engineering
Volume23
Issue numberSupplement
Pages (from-to)S179-S182
ISSN0098-1354
DOIs
Publication statusPublished - 1 Jun 1999
Event9th European Symposium on Computer Aided Process Engineering - Budapest, Hungary
Duration: 31 May 19992 Jun 1999
Conference number: 9
http://www.dcs.vein.hu/ESCAPE-9/

Conference

Conference9th European Symposium on Computer Aided Process Engineering
Number9
CountryHungary
CityBudapest
Period31/05/199902/06/1999
Internet address

Cite this

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title = "Complex nonlinear behaviour of a fixed bed reactor with reactant recycle",
abstract = "The fixed bed reactor with reactant recycle investigated in this paper can exhibit periodic solutions. These solutions bifurcate from the steady state in a Hopf bifurcation. The Hopf bifurcation encountered at the lowest value of the inlet concentration turns the steady state unstable and marks the emergence of a stable periodic solution. This periodic solution in turn undergoes a period doubling leaving it unstable and giving rise to a stable period 2 solution. It is know that if the system possesses one period doubling it often also has the possibility of posessing a chaotic attractor. It is shown,that the dynamic behaviour of a fixed bed reactor with reactant recycle is much more complex than previously reported.",
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Complex nonlinear behaviour of a fixed bed reactor with reactant recycle. / Recke, Bodil; Jørgensen, Sten Bay.

In: Computers & Chemical Engineering, Vol. 23, No. Supplement, 01.06.1999, p. S179-S182.

Research output: Contribution to journalConference articleResearchpeer-review

TY - GEN

T1 - Complex nonlinear behaviour of a fixed bed reactor with reactant recycle

AU - Recke, Bodil

AU - Jørgensen, Sten Bay

PY - 1999/6/1

Y1 - 1999/6/1

N2 - The fixed bed reactor with reactant recycle investigated in this paper can exhibit periodic solutions. These solutions bifurcate from the steady state in a Hopf bifurcation. The Hopf bifurcation encountered at the lowest value of the inlet concentration turns the steady state unstable and marks the emergence of a stable periodic solution. This periodic solution in turn undergoes a period doubling leaving it unstable and giving rise to a stable period 2 solution. It is know that if the system possesses one period doubling it often also has the possibility of posessing a chaotic attractor. It is shown,that the dynamic behaviour of a fixed bed reactor with reactant recycle is much more complex than previously reported.

AB - The fixed bed reactor with reactant recycle investigated in this paper can exhibit periodic solutions. These solutions bifurcate from the steady state in a Hopf bifurcation. The Hopf bifurcation encountered at the lowest value of the inlet concentration turns the steady state unstable and marks the emergence of a stable periodic solution. This periodic solution in turn undergoes a period doubling leaving it unstable and giving rise to a stable period 2 solution. It is know that if the system possesses one period doubling it often also has the possibility of posessing a chaotic attractor. It is shown,that the dynamic behaviour of a fixed bed reactor with reactant recycle is much more complex than previously reported.

U2 - 10.1016/S0098-1354(99)80044-1

DO - 10.1016/S0098-1354(99)80044-1

M3 - Conference article

VL - 23

SP - S179-S182

JO - Computers & Chemical Engineering

JF - Computers & Chemical Engineering

SN - 0098-1354

IS - Supplement

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