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Evaluation of Hopf bifurcation points in parabolic equations describing heat and mass transfer in chemical reactors

✍ Scribed by Milan Kubíček; Martin Holodniok

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
532 KB
Volume
39
Category
Article
ISSN
0009-2509

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✦ Synopsis

Direct iteration algorithm for evaluation of Hopf bifurcation points in partial differential equations describing heat and mass transfer in chemical reactors is proposed. Origin of oscillatory phenomena in chemical reactor models is frequently at such points on the curve of the dependence of steady state solutions on a parameter, where stability of steady state solution is lost when varying the parameter in question. The algorithm suggested is based on the shooting method. Efficiency of the method is demonstrated on two examples. In the first one the mathematical model describing heat and mass transfer in a porous catalyst particle is considered. Bifurcation diagram

is constructed on the basis of the method proposed.

In the second example results are presented for the model of axial dispersion of heat and mass in a tubular reactor and compared with those obtained by other authors using the method of lines.

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