Statistical parameter optimization and modeling of photodegradation of methyl orange using a composite photocatalyst pre

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RESEARCH ARTICLE

Statistical parameter optimization and modeling of photodegradation of methyl orange using a composite photocatalyst prepared by thermal synthesis Samira Ghafoori 1,2 & Mohsen Nasirian 1 & Rasha Al-Jamal 3 & Fahad Abu Mallouh 2 & Mehrab Mehrvar 1 Received: 26 February 2020 / Accepted: 27 July 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Doping a transition metal into photocatalysts enhances the photocatalytic activity drastically. In the first part of this study, Taguchi design of experiment is applied to evaluate and optimize the efficiency of the Fe2O3/TiO2 photocatalyst synthetized by thermal method assisted by UV radiation. The contribution percentages of Fe:TiO2 mass ratio, Fe2O3/TiO2 dosage, and pH on the total organic carbon (TOC) removal are determined using analysis of variance (ANOVA). In the second part of this study, in order to model the photocatalytic degradation process, the optical properties of the photocatalyst, including the extinction, absorption, and scattering coefficients, are determined. Subsequently, the radiation transfer equation (RTE) is solved numerically based on the surface emission model using the discrete ordinate method. Furthermore, a rigorous model, including chemical reaction rates, radiation transfer, and mass transfer is proposed and validated by a set of experimental data. A satisfactory correlation between the predicted and experimental data with less than 5% error confirms the reliability of the model. The intrinsic kinetic parameters are also determined by comparing predicted values to those of the experimental results by applying non-linear regressions. Keywords Photocatalyst . Doping . Fe2O3/TiO2 . Taguchi method . TOC removal . Optimization . Modeling

Nomenclature Ccat catalyst concentration (g m−3) eaλ volumetric rate of photon absorption (Einstein m−2 s−1) g Henyey and Greenstein asymmetry factor (−) I UV light intensity (Einstein m−2 s−1 sr) ki rate constant (M−1 s−1), (s−1) kλ volumetric absorption coefficient (m−1) pλ phase function (−) Responsible Editor: Sami Rtimi Electronic supplementary material The online version of this article (https://doi.org/10.1007/s11356-020-10301-5) contains supplementary material, which is available to authorized users. * Mehrab Mehrvar [email protected] 1

Department of Chemical Engineering, Ryerson University, 350 Victoria Street, Toronto, ON M5B 2K3, Canada

2

Department of Petroleum Engineering, Australian College of Kuwait, P.O. Box 1411, 13015 Safat, Kuwait

3

Department of Mathematics, Australian College of Kuwait, P.O. Box 1411, 13015 Safat, Kuwait

regression coefficient (−) R2 ri reaction rate (M−1 s−1) s linear coordinate along the direction Ω (m) t time (s) x position vector (m) Greek letters α1 kinetic parameter (M−1 s) α2 kinetic parameter (M2 Einstein−1s) ελ extinction coefficient (m−1) θ spherical coordinate (rad) λ wavelength (nm) μ director cosine, μ = cosθ. σ volumetric scattering coefficient (m−1) φ quantum yield (mol Einstein−1) Ω solid angle (sr) Acronyms ANOV