Radiation transfer due to a point source in an isotropically scattering,inhomogeneous solid sphere |
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| Affiliation: | 1. Mechanical and Nuclear Engineering Department, College of Engineering, University of Sharjah, Sharjah 27272, United Arab Emirates;2. Sustainable and Renewable Energy Engineering Department, College of Engineering, University of Sharjah, Sharjah 27272, United Arab Emirates;1. Slovenian Nuclear Safety Administration, Litostrojska cesta 54, SI-1000 Ljubljana, Slovenia;2. ARAO (Radioactive Waste Management), Celovška cesta 182, SI-1000 Ljubljana, Slovenia;3. Jožef Stefan Institute, Jamova cesta 39, SI-1000 Ljubljana, Slovenia;4. Faculty of Mathematics and Physics, University of Ljubljana, Jadranska ulica 19, SI-1000 Ljubljana, Slovenia;1. Brest State A.S. Pushkin University, 21 Kosmonavtov Boulevard, Brest, 224016, Belarus;2. Joint Institute for Nuclear Research, 6 Joliot-Curie St., Dubna, Moscow Region, 141980, Russia;1. School of Physics, Universiti Sains Malaysia, 11800 USM Penang, Malaysia;2. Reactor Technology Center, Technical Support Division, Malaysian Nuclear Agency, 43000 Bangi, Selangor, Malaysia;1. Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, 24-107, Cambridge, MA 02139, United States;2. Mathematics and Computer Science, Argonne National Laboratory, 9700 S. Cass Avenue, Argonne, IL 60439, United States |
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| Abstract: | A method of analysis is presented for solving radiation transfer due to a point source in an absorbing, isotropically scattering, inhomogeneous sphere, which is subjected to a diffusely reflecting boundary. The space-dependent single-scattering albedo is represented in the form ω(r) = ΣKk=0 DK rk, where r is the optical variable and Dk are the known expansion coefficients. The effects of various functional forms of albedo on the incident radiation, angular distribution of radiation intensity and emissivity are examined. |
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