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Numerical study of phonon radiative transfer in porous nanostructures
Authors:Sheng-Yen Li  Hsin-Sen Chu  Wei-Mon Yan
Affiliation:1. Department of Mechanical Engineering, National Chiao Tung University, Hsin-Chu 300, Taiwan, ROC;2. Department of Mechatronic Engineering, Huafan University, Shih-Ting, Taipei 223, Taiwan, ROC;1. Equipe photo thermique et composants électroniques (UR/99/13-22), Institut Préparatoire aux Etudes d’Ingénieurs de Nabeul (IPEIN), 8000 Merazka, Nabeul, Tunisia;2. Institut des Nanotechnologies de Lyon (site INSA UMR 5270), Bât. Blaise Pascal, 7 Avenue Jean Capelle, 69621 Villeurbanne Cedex, France;3. Unité de recherche sur les Hétéro-Epitaxies et applications, Faculté des Sciences de Monastir, 5019 Monastir, Tunisia;1. Graduate School of Science Osaka City University, Sumiyoshi-ku, Osaka 558-8585, Japan;2. Ewha Womans University, 11-1, Daehyun-Dong, Seoul 120-750, South Korea;3. National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32306-4005, USA;4. Institute for Materials Research, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai 980-8577, Japan;5. Riken, 2-1, Hirosawa, Wako, Saitama 351-0198, Japan;1. Department of Mathematical Sciences, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan;2. CCSE, Japan Atomic Energy Agency, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8587, Japan;3. NanoSquare Research Center (N2RC), Osaka Prefecture University, 1-2 Gakuen-cho, Naka-ku, Sakai 599-8570, Japan
Abstract:This study analyzes the phonon radiative transfer in two-dimensional porous silicon nanostructures with a phonon transport model based on the Boltzmann transportation equation. We focus on the inter-scattering between pores. The numerical results show that when the aspect ratio is less than 1.22, the scale factor dominates the thermal conductivity, and the thermal conductivity of nanostructures with in-line arrangement pores is determined by the dependent phonon scattering effect. In nanostructures with staggered arrangement pores, the phonons are prevented from transporting through the material. In general, the results show that the larger the pore size, the lower the thermal conductivity of the nanostructure. The results presented in this study provide a useful reference for the development of high-efficiency thermoelectric structures.
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