The bifurcation behavior of tubular reactors

Jensen, Klavs F.; Ray, W.Harmon

doi:10.1016/0009-2509(82)80155-3

Cited by 180Heat and Mass Transfer in Porous MediaNonlinear Dynamics and Pattern FormationAdvanced Differential Equations and Dynamical Systems

The bifurcation behavior of tubular reactors

Jensen, Klavs F., Ray, W.Harmon·1982·Chemical Engineering Science

DOI 10.1016/0009-2509(82)80155-3

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The dynamics of the reactant concentration can be described by the PDE given in Equation (1), belonging to the class of second order parabolic PDEs commonly used to characterize diffusion-convection-reaction systems.
“By applying first-principle modelling through relevant mass balance relations on an infinitesimally small section of the reactor, the dynamics of the reactant concentration can be described by the PDE given in Equation ( 1), belonging to the class of second order parabolic PDEs commonly used to characterize diffusion-convection-reaction systems [25] in chemical engineering.”
From Optimal control of axial dispersion tubular reactors with recycle: Addressing state‐delay through transport <scp>PDEs</scp> (2025) · cites this paper as [25]

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Authors: Jensen, K. F., & Ray, W. H.
Affiliations: University of Wisconsin–Madison (US)
Corresponding author: Ray, W.Harmon
ORCID: Jensen, Klavs F.
Venue: Chemical Engineering Science
Publisher: Elsevier BV
Published: 1982
Volume: 37
Issue: 2
Pages: 199-222
ISSN: 0009-2509 (ISSN-L)
DOI: 10.1016/0009-2509(82)80155-3
OpenAlex: W2065214383
Cited by: 180
References: 86
Citations by year: 2026: 2 · 2025: 5 · 2024: 5 · 2022: 3 · 2021: 4 · 2020: 4 · 2019: 5 · 2018: 3 · 2017: 4 · 2016: 3 · 2015: 6 · 2014: 1 · 2013: 7 · 2012: 2
FWCI: 5.55
Type: journal article
Language: en
Open access: closed
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
www.elsevier.com/legal/tdmrep-license (tdm)
Locations: Chemical Engineering Science (publishedVersion)
Defense Technical Information Center (DTIC) (submittedVersion)
Topics: Physical Sciences › Engineering › Computational Mechanics › Heat and Mass Transfer in Porous Media
Physical Sciences › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Equations and Dynamical Systems
Keywords: tubular reactor, bifurcation analysis, Hopf bifurcation, steady-state profiles, axial dispersion, first-order irreversible reaction, multiple steady states, periodic solutions, Lewis number, Peclet number, fixed-bed reactor, reaction-diffusion systems, two-phase model

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