ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Near-field radiative heat transfer in mesoporous alumina |
Li Jing (李静)a, Feng Yan-Hui (冯妍卉)a, Zhang Xin-Xin (张欣欣)a, Huang Cong-Liang (黄丛亮)a, Wang Ge (王戈)b |
a School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China; b School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China |
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Abstract The thermal conductivity of mesoporous material has aroused the great interest of scholars due to its wide applications such as insulation, catalyst, etc. Mesoporous alumina substrate consists of uniformly distributed, unconnected cylindrical pores. Near-field radiative heat transfer cannot be ignored, when the diameters of the pores are less than the characteristic wavelength of thermal radiation. In this paper, near-field radiation across a cylindrical pore is simulated by employing the fluctuation dissipation theorem and Green function. Such factors as the diameter of the pore, and the temperature of the material are further analyzed. The research results show that the radiative heat transfer on a mesoscale is 2~ 4 orders higher than on a macroscale. The heat flux and equivalent thermal conductivity of radiation across a cylindrical pore decrease exponentially with pore diameter increasing, while increase with temperature increasing. The calculated equivalent thermal conductivity of radiation is further developed to modify the thermal conductivity of the mesoporous alumina. The combined thermal conductivity of the mesoporous alumina is obtained by using porosity weighted dilute medium and compared with the measurement. The combined thermal conductivity of mesoporous silica decreases gradually with pore diameter increasing, while increases smoothly with temperature increasing, which is in good agreement with the experimental data. The larger the porosity, the more significant the near-field effect is, which cannot be ignored.
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Received: 01 August 2014
Revised: 09 September 2014
Accepted manuscript online:
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PACS:
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44.40.+a
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(Thermal radiation)
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65.80.-g
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(Thermal properties of small particles, nanocrystals, nanotubes, and other related systems)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51422601), the National Basic Research Program of China (Grant No. 2012CB720404), and the National Key Technology Research and Development Program of China (Grant No. 2013BAJ01B03). |
Corresponding Authors:
Feng Yan-Hui
E-mail: yhfeng@me.ustb.edu.cn
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Cite this article:
Li Jing (李静), Feng Yan-Hui (冯妍卉), Zhang Xin-Xin (张欣欣), Huang Cong-Liang (黄丛亮), Wang Ge (王戈) Near-field radiative heat transfer in mesoporous alumina 2015 Chin. Phys. B 24 014401
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