热波在超低热导率材料中传递特性的研究
doi: 10.11728/cjss2025.04.2024-0101 cstr: 32142.14.cjss.2024-0101
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洪思慧 女, 1990年12月出生于广东省韶关市, 现为浙江大学电气工程学院“百人计划”研究员, 博士生导师, 主要研究方向为高精度温控、器件封装与热管理、传热强化与节能、多相流动过程等. E-mail: 0024108@zju.edu.cn
作者简介:
Study on Thermal Wave Transfer Characteristics in Ultra-low Thermal Conductivity Materials
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摘要: 考虑具有时频变化的空间外热流和具有单一超低热导率隔热材料, 采用广义热弹性理论和一维热波理论对外热流噪声在单级隔热材料中的传递过程建立数理模型. 结合一维热波理论的CV模型构建了温度的阻尼振荡模型, 对外热流在单层材料中的准稳态传递过程进行数理建模, 构建温度噪声对外热流噪声响应的函数关系, 获得热流传递路径上材料各处的温度响应特性; 通过敏感度分析, 厘清影响温度噪声衰减的关键参数及其影响规律.Abstract: Considering a single ultra-low thermal conductivity insulation material, the transfer process of external heat flow noise in a single stage insulation material is modeled by using generalized thermoelasticity theory and one-dimensional thermomass theory. Combined with the CV model of one-dimensional Fourier heat conduction theory, the damping oscillation model of temperature was proposed, and the quasi-steady transfer process of external heat flow in single-layer materials was modeled. The functional relationship of temperature noise response to external heat flow noise was constructed, and the corresponding characteristics of node temperature were obtained. Through sensitivity analysis, the key parameters and their influencing rules of temperature noise attenuation were clarified.
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图 2 基于热弹性理论计算的热波在各向同性介质中传递的相速度和衰减系数结果
Figure 2. Calculation results of phase velocity and attenuation coefficient for thermal wave propagation in isotropic media based on thermoelastic theory
图 3 不同参考温度对热波在各向同性介质中传递的相速度和衰减系数的影响
Figure 3. Effect of reference temperature on phase velocity and attenuation coefficient for thermal wave propagation in isotropic media
图 6 材料比热对热波在各向同性介质中传递的相速度和衰减系数的影响
Figure 6. The effect of material specific heat capacity on phase velocity and attenuation coefficient for thermal wave propagation in isotropic media
图 4 材料热导率对热波在各向同性介质中传递的相速度和衰减系数的影响
Figure 4. Effect of material thermal conductivity on phase velocity and attenuation coefficient for thermal wave propagation in isotropic media
图 5 材料热膨胀系数对热波在各向同性介质中传递的相速度和衰减系数的影响
Figure 5. Effect of material thermal expansion coefficient on phase velocity and attenuation coefficient for thermal wave propagation in isotropic media
图 7 基于热质理论计算的温度响应特性
Figure 7. Calculated temperature response characteristics based on the thermomass theory
图 8 基于广义热弹性理论的热波传递特征
Figure 8. Thermal wave transfer characteristics based on generalized thermoelastic theory
图 9 材料物性参数对温度相应特性的敏感度分析
Figure 9. Sensitivity analysis of material property parameters on temperature response characteristics
表 1 热弹性介质模型参数
Table 1. Parameters of the thermoelastic model
热弹性介质模型参数 数值 导热系数k / (W·m–1·K–1) 0.28, 2.8, 28 比热容c / (kJ·kg–1) 114, 154, 204 热膨胀系数$ {\alpha }_{\mathrm{T}}\left(\times {10}^{-6}\right) $/ K–1 2.5, 2.8, 3.0 参考温度T / K 25, 50, 100, 200, 300 
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表 2 实际隔热材料的材料物性参数
Table 2. Material property parameters of practical thermal insulation material
泡沫塑料的材料物性参数 数值 导热系数k0 /(W·m–1·K–1) 0.2 比热容c0 /(kJ·kg–1) 1340 密度$ \rho $0/ (kg·m–3) 250 热扩散系数$ \alpha $ /(m2·s–1) 0.012216944 参考温度T /K 295
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