A mathematical model by Hayes et al.  of porous catalysts that have non-linear reactions kinetic is discussed. The model involves the non-linear steady-state reaction-diffusion equation. The analytical solution for the concentration of species is obtained using the Adomian decomposition method. Simple and an approximate polynomial expressions for concentration and effectiveness factors are derived for general non-linear Langmiur-Hinshelwood-Haugen-Watson (LHHW) type models which has variety of real rate function. Comparison of the analytical approximation and numerical simulation is also presented. A good agreement between theoretical predictions and numerical results is observed. The concentration and the effectiveness factors are also computed for the limiting cases of LHHW type models.
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Published in Russian in Kinetika i Kataliz, 2013, Vol. 54, No. 1, pp. 100–110.
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Sivasankari, M.K., Rajendran, L. Analytical expression of the concentration of species and effectiveness factors in porous catalysts using the Adomian decomposition method. Kinet Catal 54, 95–105 (2013). https://doi.org/10.1134/S0023158413010138