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·1068· 工程科学学报,第37卷,第8期 的增加逐渐减小,随着温度的升高缓慢增加. at different doping levels.Int J Heat Mass Transfer,2006,49(9- (3)介孔二氧化硅的孔径大于50nm时,其有效 10):1703 导热系数趋于平缓,尺寸效应逐渐衰减:孔径越小,近 [15]Joulain K.Near-field heat transfer:a radiative interpretation of thermal conduction.I Quant Spectrose Radiat Transfer,2008, 场辐射的作用越显著 109(2):294 [16]Volokitin A I,Persson B N J.Radiative heat transfer between 参考文献 nanostructures.Phys Rer B,2001,63 (20):205404 [17]Joulain K,Mulet J P,Francoeur M,et al.Surface electromagnet- Li Y,Song QL,Xia S H.Progress in microscale/nanoscale ther- ic waves thermally excited:radiative heat transfer,coherence mal transport in solid.Prog Phys,2004.24(4):424 (吕曜,宋青林,夏善红固体微/纳米尺度传热理论研究进 properties and Casimir forces revisited in the near field.Suf Sci 展.物理学进展,2004,24(4):424) Rep,2005,57(34):59 2]Polder D,Van Hove M.Theory of radiative heat transfer between [18]Hu C,Morgen M,Ho P S,et al.Thermal conductivity study of closely spaced bodies.Phys Rer B,1971,4(10)3303 porous lowk dielectric materials.Appl Physlet 2000,77(1): 3]Chen RL Radiative heat transfer between two closely-spaced plates 145 [19] Coquil T,Richman E K,Hutchinson N J,et al.Thermal con- 143rd AlAA Aerospace Sciences Meeting and Exhibit.American In- stitute of Aeronautics and Astronautics,2005:2005-960 ductivity of cubic and hexagonal mesoporous silica thin films. 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Progress in microscale / nanoscale ther￾mal transport in solid. Prog Phys,2004. 24( 4) : 424 ( 吕曜,宋青林,夏善红. 固体微/纳米尺度传热理论研究进 展. 物理学进展,2004,24( 4) : 424) [2] Polder D,Van Hove M. Theory of radiative heat transfer between closely spaced bodies. Phys Rev B,1971,4( 10) : 3303 [3] Chen R L. Radiative heat transfer between two closely-spaced plates / / 43rd AIAA Aerospace Sciences Meeting and Exhibit. American In￾stitute of Aeronautics and Astronautics,2005: 2005-960 [4] Mulet J P,Joulain K,Carminati R,et al. Enhanced radiative heat transfer at nanometric distances. Microscale Thermophys Eng, 2002,6( 3) : 209 [5] Francoeur M,Mengüc M P. Role of fluctuational electrodynamics in near-field radiative heat transfer. J Quant Spectrosc Radiat Transfer,2008,109( 2) : 280 [6] Mulet J P,Joulain K,Carminati R,et al. Nanoscale radiative heat transfer between a small particle and a plane surface. Appl Phys Lett,2001,78( 19) : 2931 [7] Narayanaswamy A,Shen S,Chen G. 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Appl Phys Lett,2013,102: 053101 [25] Liu X L,Zhang R Z,Zhang Z M. Near-field thermal radiation between hyperbolic metamaterials: graphite and carbon nano￾tubes. Appl Phys Lett,2013,103( 21) : 213102 [26] Volokitin A I,Persson B N J. Near-field radiative heat transfer and noncontact friction. Rev Mod Phys,2007,79( 4) : 1291 [27] Pendry J B. Radiative exchange of heat between nanostructures. J Phys Condens Matter,1999,11( 35) : 6621 [28] Palik E D. Handbook of Optical Constants of Solids. Orlando: Academic Press,1985 [29] Rytov S M,Kravtsov Y A,Tatarskii V I. Principles of Statistical Radiophysics,Vol. 3. Berlin: Springer-Verlag,1989 [30] Zeng T F,Chen G. Phonon heat conduction in thin films: im￾pacts of thermal boundary resistance and internal heat generation. J Heat Transfer,2001,123( 2) : 340 [31] Zeng S Q,Hunt A,Greif R. Mean free path and apparent ther￾mal conductivity of a gas in a porous medium. J Heat Transfer, 1995,117( 3) : 758 [32] Zeng S Q,Hunt A,Greif R. Transport properties of gas in silica aerogel. J Non Cryst Solids,1995,186: 264 [33] Han Y J,Klemens P G. Anharmonic thermal resistivity of dielectric crystals at low temperatures. Phys Rev B,1993,48( 9) : 6033 [34] Callaway J. Model for lattice thermal conductivity at low tempera￾tures. Phys Rev,1959,113( 4) : 1046 · 8601 ·
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