Stability and multiplicity approach to the design of heat-integrated PFR

Costin S. Bildea, Alexandre C. Dimian

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


The nonlinear behavior of the heat-integrated plug-flow reactor, consisting of a feed-effluent heat exchanger (FEHE), furnace, adiabatic tubular reactor, and steam generator is studied, considering a first-order, irreversible, exothermic, adiabatic reaction. Bifurcation theory is used to analyze the relationships among design, reaction thermodynamics and kinetics, and state multiplicity and stability. Hysteresis, isola and boundary-limit varieties are computed, and the influence of the activation energy, reaction heat and FEHE efficiency on the multiplicity region is studied. The double-Hopf and double-zero bifurcation points divide parameter space in regions with different dynamic behavior. State multiplicity, isolated branches, and oscillatory behavior may occur for realistic values of model parameters. A design procedure is proposed to ensure a desired multiplicity pattern and a stable point of operation and to avoid high sensitivity. The procedure was applied to three reaction systems with different kinetic and thermodynamic characteristics.

Original languageEnglish
Pages (from-to)2703-2712
Number of pages10
JournalAIChE Journal
Issue number12
Publication statusPublished - Jan 1 1998

ASJC Scopus subject areas

  • Biotechnology
  • Environmental Engineering
  • Chemical Engineering(all)

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