A basic mathematical model to describe the degradation of a single compound in a fiber-optic bundled array photocatalytic batch reactor (OFR) using a Langmuir−Hinshelwood kinetic expression is developed. An empirical global quantum efficiency, φ global, that incorporates reaction parameters such as the absorbed light intensity, intrinsic rate constants, concentration of adsorbed reactants, and reaction intermediates is used as a fitting parameter. An empirical term to describe the radiation field within the coated fiber is derived experimentally and normalized by the photocatalyst particle concentration within the fiber optic coating to account for the inverse relationship observed between absorbed light intensity and reaction quantum efficiency. Results of the mathematical model are compared to experimental data generated in an OFR for the photocatalytic oxidation of 4-chlorophenol (4CP), pentachlorophenol (PCP), and dichloroacetate (DCA). The global quantum efficiency, φ global, was found to be independent of absorbed light intensity. Calculated kinetic profiles are in excellent agreement with experimental observation.
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Peill et al. (1998) studied this question.
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