Abstract
A simple two-dimensional model of a packed bed with down flow in which an exothermic reaction occurs is analyzed. Orthogonal collocation and continuation techniques are used to calculate the flow patterns and bifurcation diagrams. Steady-state solutions with and without stagnant regions as well as periodic and chaotic time-dependent solutions for the nonuniform flows are presented. The main result is that nonuniform solutions bifurcate from the uniform flow supercritically for large Damköhler numbers (or equivalently high conversions). This is in contrast to the case of a constant heat source (or equivalently no reactant consumption) for which the nonuniform flows bifurcate always subcritically.
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