Header menu link for other important links
X
Nonlinear behavior of reactor-separator networks: Influence of the energy balance formulation
Mantravadi Vasudeva Kumar,
Published in
2007
Volume: 46
   
Issue: 4
Pages: 1197 - 1207
Abstract
The dynamic behavior of a stand alone flash with a constant heating rate and a corresponding reactor-separator system with recycle is analyzed by means of different model formulations which are frequently applied. It is shown that the predictions of the different model formulations are rather close for the stand alone flash. In particular, in all cases, a stable steady state is predicted. In contrast to this, it is shown that the dynamics of the corresponding reactor-separator system can depend on the specific model formulation. For a rigorous model with a dynamic energy balance, a new type of bifurcation is found, where the eigenvalues have a pole with a change of sign. Similar effects are reported for systems with negligible and finite transportation delay of the recycle. For the latter, multiple periodic solutions are found for a model with a quasistatic energy balance, which will disappear because of the new type of bifurcation if a rigorous dynamic energy balance is applied. © 2007 American Chemical Society.
About the journal
JournalIndustrial and Engineering Chemistry Research
ISSN08885885
Open AccessNo
Concepts (10)
  •  related image
    Bifurcation (mathematics)
  •  related image
    Energy balance
  •  related image
    Mathematical models
  •  related image
    Nonlinear systems
  •  related image
    Numerical methods
  •  related image
    Separators
  •  related image
    DYNAMIC ENERGY BALANCE
  •  related image
    FINITE TRANSPORTATION DELAY
  •  related image
    MODEL FORMULATION
  •  related image
    Chemical reactors