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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2012005899
pages 591-614

RADIATIVE HEAT TRANSFER IN A MULTILAYER SEMITRANSPARENT SCATTERING MEDIUM USING THE PN−APPROXIMATION METHOD

Bin Liu
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, P.R. China
Yuan Yuan
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, P.R. China
Hong-Liang Yi
School of Energy Science and Engineering, Harbin Institute of Technology, 92 West Dazhi Street, Harbin 150001, P. R. China
Shi-Kui Dong
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, P.R. China
Heping Tan
Key Laboratory of Aerospace Thermophysics of MIIT, School of Energy Science of Engineering, Harbin Institute of Technology, Harbin 150001, China

ABSTRACT

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.


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