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

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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.

Original languageEnglish
Article number8733130
Pages (from-to)1525-1536
Number of pages12
JournalIEEE Transactions on Automatic Control
Volume65
Issue number4
DOIs
Publication statusPublished - Apr 2020
Externally publishedYes

Keywords

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

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