Theoretical analysis of catalytic reactions is very often done assuming isothermal condition since in the actual situation of non-isothermal condition, the reaction rate constant has an exponential dependence on temperature and this makes the governing equations highly non-linear. The coupled concentration and temperature equations for the non-isothermal case have often been solved numerically. However, the perturbation technique can be used to derive approximate analytical solution for the non-isothermal case for small or large values of the Thiele modulus. The perturbation solution to the problem is shown here following Cardoso and Rodrigues (2006).
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