The DRESOR Method For Radiative Heat Transfer In Three-dimensional Cylindrical Coordinate System

The DRESOR method use the Monte Carlo method to calculate the scattering effect ofthe granular media, which can calculate the radiation intensity at any point changes withspatial directions in the closed cavity with high spatial direction. The traditional DRESORmethod are based on the Cartesian coordinate system, usually applied to the rectangulardielectric. When we analysis radiative heat transfer in cylindrical media for industrialproduction, establishing the Cartesian coordinate system is not easy to accurately describethe cylindrical geometry boundary, while establishing the cylindrical coordinate system canbe a good solution to this problem. Therefore, the solving of the DRESOR method in thethree-dimensional cylindrical coordinate system has a great significance. when studying theradiative transfer in participatory media, we always assume that the refractive index of themedium is a uniform index, but the real refractive index is often not uniform effected by itstemperature, composition, etc., so the analysis of the radiation heat transfer in gradientrefractive index medium has important guiding significance for more accurate simulatingthe actual radiation heat transfer process. In this thesis, we discuss and present theDRESOR method in the three-dimensional cylindrical coordinate system with uniformrefractive index and gradient refractive index medium. The details are as follows:In this thesis, the DRESOR method in three-dimensional Cartesian coordinate systemof our group’s is extended to the three-dimensional cylindrical coordinate system, andapplied to the gradient index media. This paper gives a specific derivation for solving theradiative transfer equation of DRESOR method, described the different and difficulties incylindrical coordinates and the Cartesian coordinate system. The key of the DRESORmethod is the calculating of the DRESOR number through the ray propagating. Thecalculation of DRESOR number in cylindrical coordinates system has detailed described. The ray is no longer passed along a straight line in graded index medium, and the refractionand total internal reflection occurs in the grid boundary, about the ray propagating in curvedpaths has also presented.In order to verify the correctness of the DRESOR method for solving radiative transfer in three-dimensional cylindrical coordinate system, this paper check and analyze theDRESOR method in cylindrical, black wall, non-black wall, non-scattering medium andisotropic scattering medium, the anisotropic scattering medium, gradient refractive indexmedium respectively, and calculated radiation intensity, radiation heat flux and incidentradiation, and the results are consistent with well, thus demonstrating the correctness of theDRESOR method in three-dimensional cylindrical coordinate system, it is an effectivemethod to solve cylindrical media radiative heat transfer.