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Solving Radiative Transfer Equation in One-Dimensional Anisotropic Scattering Media with DRESOR Method

Author: HeCheng
Tutor: ZhouHuaiChun
School: Huazhong University of Science and Technology
Course: Thermal Power Engineering
Keywords: radiative intensity DRESOR method anisotropic scattering plane-parallel media
CLC: TK124
Type: Master's thesis
Year: 2005
Downloads: 125
Quote: 2
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Abstract


The radiative heat transfer is an important heat transfer mode ,and solving RTE is a fashional aspect in the studies of radiative heat transfer. The RTE governing the propagation of radiative intensity in participating media is an integro-differential equation, and the media is always with absorption, emitting and anisotropic scattering characters, so solving RTE is complicated. Hundred years later, many methods for calculating radiative transfer come forth. The four primary methods are Discrete Ordinate Method, Spheric Harmonics, Zonal and Monte Carlo Method. MCM can consider all the major influences in the procedure of simulating radiative heat transfer without any approximation .So, MCM is an important method in the study of radiative heat transfer. Space distributions of radiative intensity are always required in many occasions. Zonal method and MCM are used to get the result of heat transfer. PN method has a bad precision and DOM cannot give enough discrete directions. So we developed a new method for solving RTE based on MCM. We call it DRESOR method. In this paper, we take advantage of DRESOR method to solve the RTE in one-dimensional anisotropic scattering media. By calculating the direction distribution factor of the discrete energy bundles during the transfer progress, we can use the scattering phase function directly and speedup the simulation progress. We calculate a lot of examples with different optical thickness, different scattering albedo and different scattering phase function. The results are delivered into the formal solution of the RTE to validate the veracity of the DRESOR method. The space-distributions of radiative intensity, the incident radiation, the radiative flux and the heat source inside the medium are offered, and the results are analysed.

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CLC: > Industrial Technology > Energy and Power Engineering > Thermal engineering, heat > Thermal Engineering Theory > Heat Transfer
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