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International Journal of Photoenergy
Volume 2018, Article ID 1678385, 16 pages
Research Article

Modelling and Simulation of the Radiant Field in an Annular Heterogeneous Photoreactor Using a Four-Flux Model

1Facultad de Química, Universidad Autónoma del Estado de México, Paseo Colon esq. Paseo Tollocan s/n, 50120 Toluca, MEX, Mexico
2Facultad de Química, Centro Conjunto de Investigación en Química Sustentable UAEM-UNAM, Universidad Autónoma del Estado de México, Carretera Toluca–Atlacomulco, Km 14.5, Unidad San Cayetano, 50200 Toluca, MEX, Mexico

Correspondence should be addressed to R. Natividad; moc.liamg@rnanyer and A. Ramírez-Serrano; xm.xemeau@szerimara

Received 7 May 2017; Revised 22 July 2017; Accepted 26 July 2017; Published 28 January 2018

Academic Editor: Detlef W. Bahnemann

Copyright © 2018 O. Alvarado-Rolon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work focuses on modeling and simulating the absorption and scattering of radiation in a photocatalytic annular reactor. To achieve so, a model based on four fluxes (FFM) of radiation in cylindrical coordinates to describe the radiant field is assessed. This model allows calculating the local volumetric rate energy absorption (LVREA) profiles when the reaction space of the reactors is not a thin film. The obtained results were compared to radiation experimental data from other authors and with the results obtained by discrete ordinate method (DOM) carried out with the Heat Transfer Module of Comsol Multiphysics® 4.4. The FFM showed a good agreement with the results of Monte Carlo method (MC) and the six-flux model (SFM). Through this model, the LVREA is obtained, which is an important parameter to establish the reaction rate equation. In this study, the photocatalytic oxidation of benzyl alcohol to benzaldehyde was carried out, and the kinetic equation for this process was obtained. To perform the simulation, the commercial software COMSOL Multiphysics v. 4.4 was employed.