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<p>Modelling light transport in fixed-bed photochemical
reactors can be challenging if the geometry of the packing is the object of
investigation. In this manuscript, we present a physically-based model of light
transport for the simulation of fixed-bed photochemical reactors to be coupled with
explicit consideration of reactor geometry: spatial properties of the fixed
bed, such as size, shape, distribution and quality of the surface of packing
particles are used as input variables. The existence of a catalytic coating on
the packing surface, and its major properties such as spectral coefficient of
absorption and surface rugosity can also be easily coupled with the light
propagation algorithm. The model was built upon the framework of the bidirectional
reflectance distribution function (BRDF), using the microfacets theory (MFT) to
evaluate an approximate solution. As an example of application, easily
measurable experimental data, such as UV absorption/extinction spectra and
surface roughness, and readily available literature data on spectral refractive
indices are used as inputs to calculate (i) the fate of the irradiated energy
(percentage absorbed, transmitted and scattered-out) and (ii) the spatial
distribution of the scattered rays. Taken together, these output data should
offer the engineer guidelines for the design of fixed-bed photochemical
reactors with optimised light collection and distribution.</p>
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