# Nonstationary Heat and Mass Transfer in a Porous Catalyst Particle

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Consider the nonisothermal diffusion and reaction within a porous catalyst particle in which a first-order exothermic reaction takes place [1–4]. This system is governed by the following two dimensionless parabolic partial differential equations and boundary conditions BC1 and BC2:

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Contributed by: Housam Binous, Abdullah A. Shaikh, and Ahmed Bellagi (February 2016)

(King Fahd University of Petroleum and Minerals, KSA; ENIM, University of Monastir, Tunisia)

Open content licensed under CC BY-NC-SA

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References

[1] V. Hlaváček, M. Kubíček, and M. Marek, "Analysis of Nonstationary Heat and Mass Transfer in a Porous Catalyst Particle I," *Journal of Catalysis*, 15(1), 1969 pp. 17–30. doi:10.1016/0021-9517(69)90004-9.

[2] V. Hlaváček, M. Kubíček, and M. Marek, "Analysis of Nonstationary Heat and Mass Transfer in a Porous Catalyst Particle II," *J. Catalysis*, 15(1), 1969 pp. 31–42. doi:10.1016/0021-9517(69)90005-0.

[3] R. Aris, *The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts*, Vols. I and II. Oxford: Clarendon Press, 1975.

[4] M. Kubíček, and M. Marek, *Computational Methods in Bifurcation Theory and Dissipative Structures*, Springer Series in Computational Physics, New York: Springer-Verlag, 1983.

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