点热源触发的超导复合材料低温广义热传导特性分析
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摘要
本文针对超导材料在低温和跨温区环境下的热传导特性,基于广义热传导理论并考虑超导材料低温下的比热、热导率的温度依赖性,建立了一描述超导复合带材在点热源触发下的非线性热传导模型.采用有限元法进一步求解获得了超导复合带材低温和跨温区环境下的温度场演化特征.研究结果表明:低温下超导复合材料的参数温度依赖性对其温度分布与热传导特性有着显著影响,其随初始环境温度的升高而逐渐减弱;热松弛时间对低温下超导材料的热传导具有显著影响.另外,文中还讨论了超导复合材料不同铜超比对其低温热传导的影响等.
Based on the theory of generalized heat conduction with temperature-dependent specific heat and thermal conductivity,the present paper develops a nonlinear heat conduction model to analyze the heat conduction characteristics of superconducting materials under low temperature with a spot heater.The evolution features of temperature are obtained by solving the nonlinear problem by the finite elements method(FEM).The results indicate that the temperature-dependence of thermal parameter has significant influences on the temperature distribution in the superconducting composite wire(NbTi/Cu)under low temperature,and the influence decreases for a high initial temperature.The thermal relaxation time has a non-ignorable effect on the heat conduction of the superconducting materials.Additionally,the influence of different ratios of Cu to superconductor of the composite materials on the heat conduction process is further discussed.
Based on the theory of generalized heat conduction with temperature-dependent specific heat and thermal conductivity,the present paper develops a nonlinear heat conduction model to analyze the heat conduction characteristics of superconducting materials under low temperature with a spot heater.The evolution features of temperature are obtained by solving the nonlinear problem by the finite elements method(FEM).The results indicate that the temperature-dependence of thermal parameter has significant influences on the temperature distribution in the superconducting composite wire(NbTi/Cu)under low temperature,and the influence decreases for a high initial temperature.The thermal relaxation time has a non-ignorable effect on the heat conduction of the superconducting materials.Additionally,the influence of different ratios of Cu to superconductor of the composite materials on the heat conduction process is further discussed.
引文
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[2]O.Tsukamoto,J.Maguire,E.Bobrov,Y.Iwasa,Appl.Phys.Lett.,39(1981),172.
[3]J.Callaway,Phys.Rev.,113(1959),1046.
[4]N.Bagrets,W.Goldacker,A.Jung,K.-P.Weiss,IEEE Trans.Appl.Supercond.,23(2013),6600303.
[5]R.Yu,M.Salamon,J.P.Lu,W.Lee,Appl.Phys.Lett.,69(1992),1431.
[6]L.Taillefer,B.Lussier,R.Gagnon,K.Behnia,H.Aubin,Phys.Rev.Lett.,79(1997),483.
[7]W.B.Lor,H.S.Chu,Cryogenics,39(1999),739.
[8]M.Lewandowska,L.Malinowski,Cryogenics,41(2001),267.
[9]蒋方明,刘登瀛,力学进展,32(2002),128.
[10]M.Al-Odat,M.Al-Nimr,M.Hamdan,Int.J.Thermophys.,23(2002),855.
[11]J.M.Koo,S.Park,KSME Int.J.,12(1998),143.
[12]M.Lewandowska,L.Malinowski,Appl.Math.Model.,38(2014),4733.
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[14]H.Maeda,Y.Yanagisawa,IEEE Trans.Appl.Supercond.,24(2014),4602412.