The Nonisothermal Catalyst Pellet Reprise

Villadsen and Michelsen2 have drawn attention to a remarkable property of functions associated with irreversible reactions such as G in equation (194). Let us take the slightly more general case of a p h order reaction in a sphere, for which 

2 Villadsen, J. and M. L. Michelsen. Diffusion and reaction in spherical catalyst pellets. Chem. Eng. Set 27, 751 (1972). 

We see that (B, T) lies on the line that joins (-1,0) and (0, y) and traverses this segment as uv goes from — to 1. 

This determines tj for the chosen v, and thus v acts as a parameter and the 17, p curve is obtained by varying v. 

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