·796· 工程科学学报，第41卷，第6期 [5]Huising N,Schubert U.Aerogels-airy materials:chemistry,struc- simetry and gas sorption for pore structure characterization of ture,and properties.Angew Chem Int Ed,1998,37(12):22 nano-porous super thermal insulating materials.Acta Mater Com- 6]Qiao J H,Bolot R,Liao HL,et al.Knudsen effect on the estima- p0sSin,2013,30(Suppl):273 tion of the effective thermal conductivity of thermal barrier coat- (杨海龙，王晓婷，王软，等.压汞和气体吸附在纳米超级隔 ings.J Therm Spray Technol,2013,22(23)175 热材料孔隙结构表征中的应用研究.复合材料学报，2013， Spagnol S,Lartigue B,Trombe A,et al.Experimental investiga- 30(增刊)：273) tions on the thermal conductivity of silica aerogels by a guarded 18] Pirard R,Rigacci A,Marechal J C,et al.Characterization of thin-film-heater method.J Heat Transfer,2009,131 (7): hyperporous polyurethane-based gels by non-intrusive mercury po- 0745011 rosimetry.Polymer,2003,44(17)4881 [8]Zhu C Y,Li Z Y,Zhao X P,et al.The DSMC study on gas heat [19]Pirard R,Alie C,Pirard J P.Characterization of porous texture conduction in nanoscale.J Eng Thermophys,2016,37 (5):1027 of hyperporous materials by mercury porosimetry using densifica- (朱传勇，李增耀，赵新朋，等.纳米尺度下气体导热的 tion equation.Powder Technol,2002,128(23):242 DSMC模拟.工程热物理学报，2016,37(5)：1027) 220]Alie C,Pirard R,Pirard J P.Mercury porosimetry:applicability 9]Swimm K,Reichenauer G,Vidi S,et al.Gas pressure depend- of the bucking-intrusion mechanism to low-density xerogels.I ence of the heat transport in porous solids with pores smaller than Non-Cryst Solids,2001,292(13):138 10 um.Int J Thermophys,2009,30(4):1329 21]Wiener M,Reichenauer G,Braxmeier S,et al.Carbon aerogel- [10]Reichenauer G,Heinemann U,Ebert H P.Relationship between based high-emperature thermal insulation.Int I Thermophys, pore size and the gas pressure dependence of the gaseous thermal 2009,30(4):1372 conductivity.Colloids Surf A,2007,300(12)204 22]Bi C,Tang G H.Study of coupling heat transfer between solid [11]Zhang H,LiZY,Dan D,et al.The influence of gas pressure on and gas phases in nanoporous aerogel.Eng Thermophys,2015 the effective thermal conductivity of nano-porous material.J Eng 36(6):1315 Thermophys,2013,34(4):756 (毕成，唐桂华.多孔材料气凝胶气固耦合传热研究.工程 (张虎，李增摇，丹聃，等.气氛压力对纳米多孔材料等效热 热物理学报，2015,36(6)：1315) 导率的影响.工程热物理学报，2013,34(4)：756) 23 Zhao JJ.Yu H T,Duan YY,et al.Analysis of aerogel thermal [12]Zhao JJ,Duan YY,Wang X D,et al.Effects of solid-gas cou- conductivity based on the microstructure.J Eng Thermophys pling and pore and particle microstructures on the effective gase- 2013,34(10):1926 ous thermal conductivity in aerogels.J Nanopart Res,2012,14 (赵俊杰，于海童，段远源，等。基于微观结构的气凝胶热导 (8):1024 率分析.工程热物理学报，2013,34(10)：1926) [13]He Y L,Xie T.A review of heat transfer models of nanoporous 24]Zhao JJ,Duan YY,Wang X D,et al.A 3-numerical heat silica aerogel insulation material.Chin Sci Bull,2015,60(2): transfer model for silica aerogels based on the porous secondary 137 nanoparticle aggregate structure.Non-Cryst Solids,2012,358 (何雅玲，谢涛.气凝胶纳米多孔材料传热计算模型研究进 (10):1287 展.科学通报，2015,60(2)：137) 25]Li Z Y,Zhu C Y,Zhao X P.A theoretical and numerical study [14]Zhu C Y,Li Z Y.The numerical study on the gas-contributed on the gas-contributed thermal conductivity in acrogel.IntHeat thermal conductivity of aerogel.J Eng Thermophys,2017,38 Mass Transfer,2017,108:1982 (8):1753 26]Bi C,Tang G H,Hu Z J,et al.Coupling model for heat transfer (朱传勇，李增耀.气凝胶中气相贡献热导率的数值求解 between solid and gas phases in aerogel and experimental investi- 工程热物理学报，2017,38(8)：1753) gation.Int Heat Mass Transfer,2014,79:126 [15]Coquil T,Fang J,Pilon L.Molecular dynamies study of the ther- 227]Lee O J,Lee K H,Yim T J,et al.Determination of mesopore mal conductivity of amorphous nanoporous silica.Int Heat Mass size of aerogels from thermal conductivity measurements.J Non- Transfer,2011,54(21-22):4540 Cryst Solids,2002,298(23):287 [16]Raed K,Gross U.Modeling of influence of gas atmosphere and 28]Tamon H,Kitamura T,Okazaki M.Preparation of silica aerogel pore-size distribution on the effective thermal conductivity of from TEOS.J Colloid Interface Sci,1998,197 (2):353 knudsen and non-nudsen porous materials.Int J Thermophys, D29]Swimm K,Vidi S,Reichenauer G,et al.Coupling of gaseous 2009,30(4):1343 and solid thermal conduction in porous solids.Non-Cryst Sol- [17]Yang H L,Wang X T,Wang Q,et al.Study on mercury poro- id,2017,456:114工程科学学报，第 41 卷，第 6 期 ［5］ Hüsing N，Schubert U． Aerogels-airy materials: chemistry，struc￾ture，and properties． Angew Chem Int Ed，1998，37( 1-2) : 22 ［6］ Qiao J H，Bolot Ｒ，Liao H L，et al． Knudsen effect on the estima￾tion of the effective thermal conductivity of thermal barrier coat￾ings． J Therm Spray Technol，2013，22( 2-3) : 175 ［7］ Spagnol S，Lartigue B，Trombe A，et al． Experimental investiga￾tions on the thermal conductivity of silica aerogels by a guarded thin-film-heater method． J Heat Transfer， 2009， 131 ( 7 ) : 074501-1 ［8］ Zhu C Y，Li Z Y，Zhao X P，et al． The DSMC study on gas heat conduction in nanoscale． J Eng Thermophys，2016，37( 5) : 1027 ( 朱传勇，李 增 耀，赵 新 朋，等． 纳米尺度下气体导热的 DSMC 模拟． 工程热物理学报，2016，37( 5) : 1027) ［9］ Swimm K，Ｒeichenauer G，Vidi S，et al． Gas pressure depend￾ence of the heat transport in porous solids with pores smaller than 10 μm． Int J Thermophys，2009，30( 4) : 1329 ［10］ Ｒeichenauer G，Heinemann U，Ebert H P． Ｒelationship between pore size and the gas pressure dependence of the gaseous thermal conductivity． Colloids Surf A，2007，300( 1-2) : 204 ［11］ Zhang H，Li Z Y，Dan D，et al． The influence of gas pressure on the effective thermal conductivity of nano-porous material． J Eng Thermophys，2013，34( 4) : 756 ( 张虎，李增耀，丹聃，等． 气氛压力对纳米多孔材料等效热 导率的影响． 工程热物理学报，2013，34( 4) : 756) ［12］ Zhao J J，Duan Y Y，Wang X D，et al． Effects of solid-gas cou￾pling and pore and particle microstructures on the effective gase￾ous thermal conductivity in aerogels． J Nanopart Ｒes，2012，14 ( 8) : 1024 ［13］ He Y L，Xie T． A review of heat transfer models of nanoporous silica aerogel insulation material． Chin Sci Bull，2015，60( 2) : 137 ( 何雅玲，谢涛． 气凝胶纳米多孔材料传热计算模型研究进 展． 科学通报，2015，60( 2) : 137) ［14］ Zhu C Y，Li Z Y． The numerical study on the gas-contributed thermal conductivity of aerogel． J Eng Thermophys，2017，38 ( 8) : 1753 ( 朱传勇，李增耀． 气凝胶中气相贡献热导率的数值求解． 工程热物理学报，2017，38( 8) : 1753) ［15］ Coquil T，Fang J，Pilon L． Molecular dynamics study of the ther￾mal conductivity of amorphous nanoporous silica． Int J Heat Mass Transfer，2011，54( 21-22) : 4540 ［16］ Ｒaed K，Gross U． Modeling of influence of gas atmosphere and pore-size distribution on the effective thermal conductivity of knudsen and non-knudsen porous materials． Int J Thermophys， 2009，30( 4) : 1343 ［17］ Yang H L，Wang X T，Wang Q，et al． Study on mercury poro￾simetry and gas sorption for pore structure characterization of nano-porous super thermal insulating materials． Acta Mater Com￾pos Sin，2013，30( Suppl) : 273 ( 杨海龙，王晓婷，王钦，等． 压汞和气体吸附在纳米超级隔 热材料孔隙结构表征中的应用研究． 复合材料学报，2013， 30( 增刊) : 273) ［18］ Pirard Ｒ，Ｒigacci A，Marechal J C，et al． Characterization of hyperporous polyurethane-based gels by non-intrusive mercury po￾rosimetry． Polymer，2003，44( 17) : 4881 ［19］ Pirard Ｒ，Alie C，Pirard J P． Characterization of porous texture of hyperporous materials by mercury porosimetry using densifica￾tion equation． Powder Technol，2002，128( 2-3) : 242 ［20］ Alie C，Pirard Ｒ，Pirard J P． Mercury porosimetry: applicability of the bucking-intrusion mechanism to low-density xerogels． J Non-Cryst Solids，2001，292( 1-3) : 138 ［21］ Wiener M，Ｒeichenauer G，Braxmeier S，et al． Carbon aerogel￾based high-temperature thermal insulation． Int J Thermophys， 2009，30( 4) : 1372 ［22］ Bi C，Tang G H． Study of coupling heat transfer between solid and gas phases in nanoporous aerogel． J Eng Thermophys，2015， 36( 6) : 1315 ( 毕成，唐桂华． 多孔材料气凝胶气固耦合传热研究． 工程 热物理学报，2015，36( 6) : 1315) ［23］ Zhao J J，Yu H T，Duan Y Y，et al． Analysis of aerogel thermal conductivity based on the microstructure． J Eng Thermophys， 2013，34( 10) : 1926 ( 赵俊杰，于海童，段远源，等． 基于微观结构的气凝胶热导 率分析． 工程热物理学报，2013，34( 10) : 1926) ［24］ Zhao J J，Duan Y Y，Wang X D，et al． A 3-D numerical heat transfer model for silica aerogels based on the porous secondary nanoparticle aggregate structure． J Non-Cryst Solids，2012，358 ( 10) : 1287 ［25］ Li Z Y，Zhu C Y，Zhao X P． A theoretical and numerical study on the gas-contributed thermal conductivity in aerogel． Int J Heat Mass Transfer，2017，108: 1982 ［26］ Bi C，Tang G H，Hu Z J，et al． Coupling model for heat transfer between solid and gas phases in aerogel and experimental investi￾gation． Int J Heat Mass Transfer，2014，79: 126 ［27］ Lee O J，Lee K H，Yim T J，et al． Determination of mesopore size of aerogels from thermal conductivity measurements． J Non￾Cryst Solids，2002，298( 2-3) : 287 ［28］ Tamon H，Kitamura T，Okazaki M． Preparation of silica aerogel from TEOS． J Colloid Interface Sci，1998，197( 2) : 353 ［29］ Swimm K，Vidi S，Ｒeichenauer G，et al． Coupling of gaseous and solid thermal conduction in porous solids． J Non-Cryst Sol￾ids，2017，456: 114 · 697 ·