Abstract
A simple method is derived for predicting the effectiveness factor for a reaction of arbitrary kinetics, occurring within a porous catalyst pellet. The non-linear boundary value equations, describing the interactions of heat conduction, diffusion and reaction inside the pellet, together with external heat and mass transfer, are solved by an orthogonal collocation technique. Important simplifications are invoked by introducing the notion of an “effective” reaction zone. By this approach the effectiveness factor can be accurately obtained from the solution of single algebraic equation. The method is shown to be superior to alternative “approximate” techniques. A comparison of the results with numerical solutions indicates the accuracy and speed of the method over a wide range of conditions including the important region of multiple steady states.
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