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International Heat Transfer Conference 6

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)


Kouichi Kamiuto
Department of Mechanical and Energy Systems Engineering, Oita University, Oita 870-1192, Japan; Kyushu University, Fukuoka 812 Japan

Ryozo Echigo
Department of Mechanical Engineering and Science, Tokyo Institute of Technology, Meguro-ku, Tokyo, Japan

Shu Hasegawa
Department of Nuclear Engineering, Faculty of Engineering, Kyushu University, Fukuoka 812, Japan

DOI: 10.1615/IHTC6.4210
pages 355-360


An analysis by the integral equation method has been performed on the radiative transfer in the plane-parallel fibrous media, in which the axes of scatterers are mutually parallel, under collimated incoming light. It is found that the intensities of the incident radiation in the media increase with the albedo ω and their distributions tend to have maxima in the vicinity of the boundary as ω asymptotes to unity. The resulting distributions of the incident radiation and the radiative heat flux are compared with the solutions obtained by the Lick's type exponential kernel approximation and thereafter the validity of this approximation is examined in some detail. Further the modified Lick's method is presented and illustrated to show good agreement with the exact solution for wide range of parameters. The radiation extinction function appeared in the present system is properly described by the Bickley-Naylor's function, Kin(x), and some integral relations on Kin(x) are presented.

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