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Nonlinear Behavior of Reactor-Separator Networks : Influence of the Energy Balance Formulation

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons86527

Zeyer,  K. P.
Process Synthesis and Process Dynamics, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons86378

Kulkarni,  A.
Process Synthesis and Process Dynamics, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;
National Chemical Laboratory, Pune, India.;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons86359

Kienle,  A.
Process Synthesis and Process Dynamics, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;
Otto-von-Guericke-Universität Magdeburg, External Organizations;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons86437

Pushpavanam,  S.
Dep. of Chemical Engineering, Indian Institute of Tech., Madras, Chennai, India;
Process Synthesis and Process Dynamics, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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Citation

Zeyer, K. P., Kulkarni, A., Kienle, A., Kumar, V. M., & Pushpavanam, S. (2007). Nonlinear Behavior of Reactor-Separator Networks: Influence of the Energy Balance Formulation. Industrial and Engineering Chemistry Research, 46, 1197-1207. doi:10.1021/ie0607595.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-987C-3
Abstract
The dynamic behavior of a stand alone flash with 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 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 with 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. Copyright © 2007 American Chemical Society [accessed 2013 December 4th]