Near-field radiation across a spherical pore in mesoporous silica
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摘要: 介孔二氧化硅基材內含不連續且均勻分布的球形孔.由于孔徑小于熱輻射特征波長,近場輻射作用不容忽視.本文基于漲落耗散理論和并矢格林函數,計算介孔二氧化硅球形孔內的近場輻射換熱,由此得到的近場輻射的當量導熱系數,將進一步用來修正介孔二氧化硅的有效導熱系數.采用稀介質孔隙率加權模型耦合球形孔內近場輻射當量導熱系數、孔內受限氣體導熱系數及介孔二氧化硅基材導熱系數,得到介孔二氧化硅的有效導熱系數,并進一步考察了孔徑和溫度的影響.研究結果表明,在介觀尺度下,其輻射熱流比宏觀尺度下要高2-7個數量級.球形孔內近場輻射的熱流及當量導熱系數隨著孔徑的增加呈指數衰減,隨著溫度的升高而增大.介孔二氧化硅的有效導熱系數隨著孔隙率的增加逐漸減小,隨著溫度的升高緩慢增加.孔徑越小,近場輻射的作用越顯著,不容忽視.當孔徑大于50 nm時,尺寸效應逐漸消失.Abstract: A mesoporous silica substrate consists of uniformly distributed and unconnected spherical pores. Since the pore diameter is less than the characteristic wavelength of thermal radiation,near-field radiative heat transfer cannot be ignored. In this paper,near-field radiation across a spherical pore in mesoporous silica was simulated by employing the fluctuation dissipation theorem and the Green function. The calculated equivalent thermal conductivity of radiation was further developed to modify the thermal conductivity of mesoporous silica. The combined thermal conductivity of mesoporous silica was obtained by using the porosity weighted dilute medium(PWDM) model to combine the equivalent thermal conductivity of radiation across the pore,the thermal conductivity of confined air in the pore and the thermal conductivity of the silica substrate. Such factors as the pore diameter and the material temperature were further analyzed. Research results show that the radiative heat transfer at the mesoscale is 2-7 orders higher than that at the macroscale.The heat flux and equivalent thermal conductivity of radiation across a spherical pore decrease exponentially with increasing pore diameter,but increase with increasing temperature. The combined thermal conductivity of mesoporous silica decreases gradually with increasing pore diameter,while increases smoothly with increasing temperature. The smaller the pore diameter,the more significant the near-field effect,which cannot be ignored. When the pore diameter is greater than 50 nm,the size effect gradually disappeared.
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Key words:
- mesoporous materials /
- silica /
- near field /
- radiation /
- thermal conductivity
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