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Catalytic Reaction in a Flat Particle

Original source of the model: V. Hlavacek, M. Marek, M. Kubícek: Modelling of chemical reactors X. Multiple solutions of enthalpy and mass balances for a catalytic reaction within a porous catalyst particle. Chem. Eng. Sci. 23 (1968) 1083-1097.

The curves in Figures 1 and 2 are a manifestation of a cusp catastrophe; the two fold curves in Figure 2 merge in the cusp point.


Figure 1
Branching diagrams y1(0) versus $\lambda$ for six values of the second parameter $\gamma$: $\gamma=20$ (left profile), $\gamma=18$, 14, 12, and $\gamma=10$ (right profile).

Figure 2
$(\lambda,\gamma)$-parameter chart with two turning point curves.


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Figure 1
Figure 2