RT Journal Article ID 54779ee5078b945c A1 Liu, Bin A1 Yuan, Yuan A1 Yi, Hong-Liang A1 Dong, Shi-Kui A1 Tan, Heping T1 RADIATIVE HEAT TRANSFER IN A MULTILAYER SEMITRANSPARENT SCATTERING MEDIUM USING THE PN−APPROXIMATION METHOD JF Heat Transfer Research JO HTR YR 2012 FD 2012-12-21 VO 43 IS 7 SP 591 OP 614 K1 radiative heat transfer K1 arbitrary order PN-approximation method K1 multilayer model K1 anisotropic scattering AB In this paper, a numerical method is developed to be used in calculations of infrared radiative transfer in participating media with particles. The decomposition of the radiative transfer equation is made using the spherical harmonics (PN-approximation) method, and a multilayer radiative transfer model based on the arbitrary-order PN-approximation method is established. With the coupled radiative−conductive heat transfer model, the calculation accuracy of the high-order PN-approximation method is established through comparison with theoretical solutions. The comparison shows that the arbitrary-order PN-approximation method yields results for nonlinear an-isotropic scattering with a high degree of accuracy. The multilayer radiative transfer model is well-suited in solving atmospheric infrared transmission problems. The influence of different scattering phase functions on the infrared transmission is analyzed within the multilayer medium. The results show that the influence of anisotropic scattering is similar to that of isotropic scattering in a steady state for optically thin media; the influence of nonlinear anisotropic scattering shows a clear linear dependence on the optical thickness in an unsteady state. With increase in the optical thickness, the apparent directional emissivity decreases. PB Begell House LK https://www.dl.begellhouse.com/journals/46784ef93dddff27,182ab8a93271fc96,54779ee5078b945c.html