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采用格子玻尔兹曼方法对NaCl@Al2O3介孔复合材料内的声子热输运进行了模拟分析.基于德拜物理模型,提出了温度耦合的复合材料界面处理方法,有效实现了复合材料声子输运的格子玻尔兹曼模拟,获得了不同孔径、孔隙率、孔形状、孔排列、界面条件系数下介孔复合材料的热导率,并进行影响因素分析.结果表明:该介孔复合材料热导率,在孔隙率一定时,随着孔径增大而增大,呈现显著的尺度效应;在孔径一定时,热导率随孔隙率增大而减小;孔径和孔隙率一定时,热导率随界面条件系数的增大而减小;孔形状和孔排列均会影响介孔复合材料的热导率,且这种影响会随着界面条件系数的增大而增大.In this paper, lattice Boltzmann method is used to simulate the phonon heat transport in NaCl@Al2O3 mesoporous composite material. Based on the Debye model, temperature coupling method is first proposed in the thermal simulation of mesoporous composite material, to calculate the effective thermal conductivity of mesoporous composite material with pores of various interface condition coefficient value, pore size, porositiy, shape and arrangement. Studies show that for the same porosity, the estimated thermal conductivity increases with increasing the value of diameter, showing the scale effect; for the same diameter, the estimated thermal conductivity decreases with increasing the value of porosity; for the same porosity and diameter, the estimated thermal conductivity decreases with increasing the value of interface condition coefficient p; porous shape and arrangement will affect thermal conductivity value, and the influences greatly increase with increasing the value of p.
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Keywords:
- mesoporous composite material /
- lattice Boltzmann method /
- phonon heat transport /
- thermal conductivity
[1] Huang C L, Feng Y H, Zhang X X, Wang G, Li J 2011 Acta Phys. Sin. 60 114401 (in Chinese)[黄丛亮, 冯妍卉, 张欣欣, 王戈, 李静2011 60 114401]
[2] Yao S S, Karaguleff C, Gabel A, Fortenberry R, Seaton C Y, Stegeman G I 1985 Appl. Phys. Lett. 46 801
[3] Coffer J L, Beauchamp G, Zerda T W 1992 J. Non-Cryst. Solids 142 208
[4] Tohge N, Asuka M, Minam T 1992 J. Non-Cryst. Solids 147-148 652
[5] Wan H R, Hu R C, Yin P 2012 J. Ludong Univ. (Nat. Sci. Ed.) 28139(in Chinese) [万红日, 胡玉才, 殷平2012鲁东大学学报(自然科学版) 28139]
[6] Yang L, Feng X, Liu Y L 2010 Process. Chem. 22 32 (in Chinese)[杨泠, 冯炫, 刘应亮2010化学进展 22 32]
[7] Yuan S W, Feng Y H, Wang X, Zhang X X 2014 Acta Phys. Sin. 63 014402 (in Chinese)[袁思伟, 冯妍卉, 王鑫, 张欣欣2014 63 014402]
[8] Dam J, Djanashivili K, Kapteijn F, Hanefeld U 2013 Chem. Cat. Chem. 5 4 97
[9] Sarda K K, Bhandari A, Pant K K, Sapna J 2012 Fuel 93 86
[10] Zhao L, Ma R Y, Meng X L, Wang G, Fang X C2012 Adv. Mater. Res. 450-451 1419
[11] Ching W Y, Ouyang L Z, Rulis P, Yao H Z 2008 Phys. Rev. B 78 014106
[12] Majumdar A 1993 J. Heat Transfer 115 7
[13] Tien C, Majumdar A, Gerner F 2004 ASME Heat Transfer 4449
[14] Nabovati A, Sellan D P, Amon C H 2011 J. Comput. Phys. 230 5864
[15] Chattopadhyay A, Pattamatta A 2014 Int. J. Heat Mass Transfer 72 479
[16] Guo Z, Shi B, Zheng C 2002 Int. J. Numer. Meth. Fl. 39 325
[17] Wang M R, Wang J K, Pan N, Chen S Y 2007 Phys. Rev. E 75 036702
[18] Munro R G 1997 J. Am. Chem. Soc. 80 1919
[19] Chen G 1998 Phys. Rev. B 57 14958
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[1] Huang C L, Feng Y H, Zhang X X, Wang G, Li J 2011 Acta Phys. Sin. 60 114401 (in Chinese)[黄丛亮, 冯妍卉, 张欣欣, 王戈, 李静2011 60 114401]
[2] Yao S S, Karaguleff C, Gabel A, Fortenberry R, Seaton C Y, Stegeman G I 1985 Appl. Phys. Lett. 46 801
[3] Coffer J L, Beauchamp G, Zerda T W 1992 J. Non-Cryst. Solids 142 208
[4] Tohge N, Asuka M, Minam T 1992 J. Non-Cryst. Solids 147-148 652
[5] Wan H R, Hu R C, Yin P 2012 J. Ludong Univ. (Nat. Sci. Ed.) 28139(in Chinese) [万红日, 胡玉才, 殷平2012鲁东大学学报(自然科学版) 28139]
[6] Yang L, Feng X, Liu Y L 2010 Process. Chem. 22 32 (in Chinese)[杨泠, 冯炫, 刘应亮2010化学进展 22 32]
[7] Yuan S W, Feng Y H, Wang X, Zhang X X 2014 Acta Phys. Sin. 63 014402 (in Chinese)[袁思伟, 冯妍卉, 王鑫, 张欣欣2014 63 014402]
[8] Dam J, Djanashivili K, Kapteijn F, Hanefeld U 2013 Chem. Cat. Chem. 5 4 97
[9] Sarda K K, Bhandari A, Pant K K, Sapna J 2012 Fuel 93 86
[10] Zhao L, Ma R Y, Meng X L, Wang G, Fang X C2012 Adv. Mater. Res. 450-451 1419
[11] Ching W Y, Ouyang L Z, Rulis P, Yao H Z 2008 Phys. Rev. B 78 014106
[12] Majumdar A 1993 J. Heat Transfer 115 7
[13] Tien C, Majumdar A, Gerner F 2004 ASME Heat Transfer 4449
[14] Nabovati A, Sellan D P, Amon C H 2011 J. Comput. Phys. 230 5864
[15] Chattopadhyay A, Pattamatta A 2014 Int. J. Heat Mass Transfer 72 479
[16] Guo Z, Shi B, Zheng C 2002 Int. J. Numer. Meth. Fl. 39 325
[17] Wang M R, Wang J K, Pan N, Chen S Y 2007 Phys. Rev. E 75 036702
[18] Munro R G 1997 J. Am. Chem. Soc. 80 1919
[19] Chen G 1998 Phys. Rev. B 57 14958
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