The ordinate weighting method for solving radiative heat transfer through a Fresnel interface
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2021-08
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en
Pages
14
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Journal of Quantitative Spectroscopy and Radiative Transfer, Volume 270
Abstract
Refraction of electromagnetic waves at Fresnel interfaces, i.e. the boundaries between media with different refractive indices, is important not only in explaining many natural phenomena but also in radiation heat transfer in energy conversion and combustion systems, such as solar energy, spray cooling and combustion, and the evaporation of liquid fuels in pool fires. This paper presents a novel model for the efficient consideration of Fresnel interfaces in the Finite Volume Method-based solvers of thermal radiation. By conserving the transmitted radiative heat flux at the Fresnel interface, the new model accurately estimates the directional distribution of radiative intensities on the second side of the interface. To do so, a matrix of weighting coefficients is obtained, representing the transferred radiation energy from the control angles on the first side of the Fresnel interface into each control angle on the second side. To assess the accuracy of the novel ordinate weighting method (OWM), its predictions are compared with the analytical solutions that we obtained for one- and two-layer slabs with various combinations of absorption and scattering properties. The validations are shown for normalized heat flux and irradiation, reflectivity, transmissivity, and intensity. The predictions of the OWM show an excellent agreement with the results of the analytical solutions. Compared to Murthy's pixelation method, the OWM method provides better accuracy with lower computational cost. Finally, the sensitivity of the OWM method to uniform and non-uniform directional discretizations, used in the finite volume solution of the radiative heat transfer, is investigated.Description
Funding Information: The authors greatly acknowledge the support of the Academy of Finland under grant no. 314487 and the Finnish Fire Protection Fund (Palosuojelurahasto). Publisher Copyright: © 2021 The Author(s)
Keywords
Finite volume method, Fresnel boundary, Ordinate weighting method (OWM), Radiation heat transfer, Refraction
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Citation
Alinejad, F, Bordbar, H & Hostikka, S 2021, ' The ordinate weighting method for solving radiative heat transfer through a Fresnel interface ', Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 270, 107685 . https://doi.org/10.1016/j.jqsrt.2021.107685