Abstract
An accurate and expeditious modelling of the radiative heat transfer is essential for the prediction of combustion equipment performance. For anisotropically scattering media the knowledge of the scattering phase function is of utmost importance. In the present paper, a new phase function modelling, based on the geometrical optics limit, is presented. The new model is easily applicable to polydispersions and does not require the knowledge of any other parameter than the asymmetric factor and efficiency factors. Also, a curve-fitting approach is presented herein to calculate the above-mentioned required parameters. Moreover, this model allows for the analytical and expeditious determination of the radiative energy fraction that is scattered into a finite solid angle, feature that is particularly useful when using solution methods for the radiative heat transfer equation that discretise the space into a finite number of solid angles. When compared with the Mie theory results, the proposed model has proven to be very accurate, provided that the particles can be considered opaque.
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