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Volume :31 Issue : 1 2004      Add To Cart                                                                    Download

Global bifurcation analysis of two-phase systems in continuous stirred tank reactors

Auther : MOHAMED E. E. ABASHAR

 Department of Chemical Engineering, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia. Fax: + 966-1-4678770
E-mail: mabashar@ksu.edu.sa

ABSTRACT

 The problem of two-phase stirred tank reactors is considered from the standpoint of global steady state bifurcation analysis. The investigation is based on the singularity theory and dividing the global parameter space into regions with different numbers of solutions and bifurcation diagrams. This approach is shown to be powerful giving new insights, which are so difficult to obtain by numerical and parametric studies. The investigation has uncovered a good part of the multiplicity characteristics in feasible regions of these complicated systems. The problem presents some interesting features of the existence of two singular points of highest codimension (butterfly) in feasible regions. It has been shown that regions of up to five steady states exist and bifurcation diagrams of discontinuous branches are presented.

Keywords: Bifurcation; CSTR ; multi-phase systems, steady-state multiplicity.

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