Analysis of the Existence of Equilibrium Profiles in Nonisothermal Axial Dispersion Tubular Reactors

Anthony Hastir; Francois Lamoline; Joseph J. Winkin; Denis Dochain

doi:10.1109/tac.2019.2921675

Analysis of the Existence of Equilibrium Profiles in Nonisothermal Axial Dispersion Tubular Reactors

Anthony Hastir, Francois Lamoline, Joseph J. Winkin, Denis Dochain

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

Abstract

This paper deals with the analysis of the nonisothermal axial dispersion tubular reactor. The existence of equilibrium profiles is investigated. In particular, for equal Peclet numbers, it is shown that one or three equilibria can be exhibited, depending on the parameters of the system, especially on the diffusion coefficient. In addition, different and close Peclet numbers are also considered. In these cases, it is also shown that the reactor has one or three equilibrium profiles. Some numerical simulations support the theoretical results.

Original language	English
Article number	8733130
Pages (from-to)	1525-1536
Number of pages	12
Journal	IEEE Transactions on Automatic Control
Volume	65
Issue number	4
DOIs	https://doi.org/10.1109/tac.2019.2921675
Publication status	Published - Apr 2020
Externally published	Yes

Keywords

Equilibrium profile
nonisothermal tubular reactor
nonlinear infinite-dimensional systems
positive semigroup

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10.1109/tac.2019.2921675

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abstract = "This paper deals with the analysis of the nonisothermal axial dispersion tubular reactor. The existence of equilibrium profiles is investigated. In particular, for equal Peclet numbers, it is shown that one or three equilibria can be exhibited, depending on the parameters of the system, especially on the diffusion coefficient. In addition, different and close Peclet numbers are also considered. In these cases, it is also shown that the reactor has one or three equilibrium profiles. Some numerical simulations support the theoretical results.",

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author = "Anthony Hastir and Francois Lamoline and Winkin, {Joseph J.} and Denis Dochain",

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AB - This paper deals with the analysis of the nonisothermal axial dispersion tubular reactor. The existence of equilibrium profiles is investigated. In particular, for equal Peclet numbers, it is shown that one or three equilibria can be exhibited, depending on the parameters of the system, especially on the diffusion coefficient. In addition, different and close Peclet numbers are also considered. In these cases, it is also shown that the reactor has one or three equilibrium profiles. Some numerical simulations support the theoretical results.

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KW - nonlinear infinite-dimensional systems

KW - positive semigroup

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Analysis of the Existence of Equilibrium Profiles in Nonisothermal Axial Dispersion Tubular Reactors

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Keywords

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