Transient,combined conduction and radiation in an absorbing,emitting, and isotropically scattering solid sphere |
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| Institution: | 1. College of Civil and Transportation Engineering, Hohai Univ., No. 1, Xikang Rd, Nanjing 210098, China;2. Jiangsu Engineering Research Center of Crack Control in Concrete, No. 1, Xikang Rd, Nanjing 210098, China;3. Nanjing Engineering Research Center for Prefabricated Construction, No. 1, Xikang Rd, Nanjing 210098, China;4. Nanjing Construction Group CO, Ltd, No. 200, Ruanjian Avenue, Nanjing 210012, China;1. Department of Industrial Engineering and Engineering Management, University of Sharjah, PO Box 27272, Sharjah, United Arab Emirates;2. Department of Industrial Engineering, Haliç University, Sütlüce Mahallesi, İmrahor Cd. No. 82, 34445 Beyoğlu, İstanbul, Turkey;3. Department of Mathematics, University of Sharjah, PO Box 27272, Sharjah, United Arab Emirates;1. Basic Research Center, School of Power and Energy, Northwestern Polytechnical University, Xi''an, 710064, PR China;2. Center of Computational Physics and Energy Science, Yangtze River Delta Research Institute of NPU, Northwestern Polytechnical University, Taicang, Jiangsu, 215400, PR China;3. Key Laboratory of Shaanxi Province for Development and Application of New Transportation Energy, School of Automobile, Chang''an University, Xi''an, 710064, PR China;4. Shanghai Key Laboratory of Multiphase Flow and Heat Transfer in Power Engineering, School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai, 200093, PR China |
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| Abstract: | Transient, combined conduction and radiation is solved in an absorbing, emitting, and isotropically scattering solid sphere with a black boundary initially at a uniform temperature and for times t > 0 subjected to a constant temperature at the spherical surface. The collocation method is used to solve the radiation part of this problem and the implicit finite difference scheme is used to solve the conduction part. The effects of the conduction-to-radiation parameter, the single scattering albedo, the optical thickness of the medium on the temperature distribution and the heat flux in the medium are examined. |
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