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International Journal of Chemical Reactor Engineering

Ed. by de Lasa, Hugo / Xu, Charles Chunbao

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Volume 14, Issue 6


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Volume 1 (2002)

Dynamic Effectiveness Factor for Catalytic Particles with Anomalous Diffusion

Filiberto Martinez-Martinez
  • Facultad de Ciencias Químicas, Universidad Veracruzana, Xalapa Veracruz, México
  • Departamento de Ingeniería de Procesos e Hidráulica, Universidad Autónoma Metropolitana-Iztapalapa, México D.F., Mexico
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Victor M. Rivera / Miguel A. Morales-Cabrera
  • Facultad de Ciencias Químicas, Universidad Veracruzana, Xalapa Veracruz, México
  • Facultad de Ciencias Químicas, Poza-Rica Veracruz, México
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Eliseo Hernandez-Martinez
Published Online: 2016-08-10 | DOI: https://doi.org/10.1515/ijcre-2015-0221


The effectiveness factor (EF) is a useful tool for the study of heterogeneous reaction systems, such as catalytic particles, where interactions of reaction-diffusion processes are involved. For simplicity, the study of EF is achieved on steady state operation (SSEF), but recent studies have suggested that EF can increase on dynamic operation conditions, especially when diffusive transport does not follow the Fick’s law. In this paper, a study about the effect of anomalous diffusion on the dynamic effectiveness factor (DEF) in catalytic particles is presented. For this, it is considered a generalized Cattaneo-type diffusion model described by differential equations of fractional order applied at rectangular, cylindrical and spherical geometries of the catalytic particles, which is analyzed in the frequency space by means the Fourier transform method. Numerical results, based on Bode and Nyquist diagrams, show the conditions and regions where the DEF values are largest than SSEF.

Keywords: dynamic effectiveness factor; anomalous diffusion; catalytic particles


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About the article

Published Online: 2016-08-10

Published in Print: 2016-12-01

Citation Information: International Journal of Chemical Reactor Engineering, Volume 14, Issue 6, Pages 1235–1240, ISSN (Online) 1542-6580, ISSN (Print) 2194-5748, DOI: https://doi.org/10.1515/ijcre-2015-0221.

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Alberto Hernandez Aguirre, Miguel A. Morales Cabrera, Epifanio Morales Zarate, Victor M Rivera, Hector Puebla, and Eliseo Hernandez Martinez
International Journal of Chemical Reactor Engineering, 2017, Volume 0, Number 0

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