Temperature response model of finned tube for latent heat storage based on thermal network
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摘要:
为了解决空载高能武器储能冷却设备出口温度的快速计算问题，提出了一种二维热网络模型，用于翅片管式储能换热器在储能阶段的温度响应预测。建立了等效热阻模型，并引入了等效导热系数来考虑自然对流对相变材料融化的影响。在不同体积流量、入口温度、翅片结构和相变材料下与焓-多孔介质法模拟结果进行了对比，验证了热网络模型的准确性，石蜡类相变材料平均出口温度最大误差为0.634 K。热网络模型相比焓-多孔介质法节约了99%的计算时间，可以有效地用于复杂翅片管式储能系统的设计和优化。
Abstract:To solve the problem of fast calculation of the outlet temperature response of the latent heat storage cooling equipment for airborne high-energy weapons, a two-dimensional thermal network model was proposed to predict the temperature response of the finned tube heat exchanger during the energy storage stage. An equivalent thermal resistance model was established, and equivalent thermal conductivity was introduced to consider the influence of natural convection on the melting of phase change materials. The results were compared with the enthalpy-porous method simulation results under different flow rates, inlet temperatures, fin structures and phase change materials, which verified the accuracy of the thermal network model. The maximum error of the average outlet temperature of paraffin phase change materials was 0.634 K. Compared with the enthalpy-porous method, the thermal network model saved 99% of the calculation time, and can be effectively used in the design and optimization of complex finned tube latent heat storage systems.
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图 1 物理模型示意图和参数示意图
Figure 1. Physical model schematic diagram and parameter schematic diagram
图 3 网格无关性验证和时间步长无关性验证
Figure 3. Grid independent verification and time step independent verification
图 9 相变材料为RT35，入口温度为333 K，不同体积流量下RC法出口温度的有效性验证
Figure 9. Validation of RC outlet temperature at different flow rates with RT35 and inlet temperature of 333 K
图 10 相变材料为RT35，入口温度为363 K，不同体积流量下RC法出口温度的有效性验证
Figure 10. Validation of RC outlet temperature at different flow rates with RT35 and inlet temperature of 363 K
图 11 相变材料为RT35，入口温度为333 K，dfin为10 mm和5 mm，不同体积流量下RC法出口温度的有效性验证
Figure 11. Validation of RC outlet temperature at different flow rates with RT35, inlet temperature of 333 K and dfin of 10 mm and 5 mm
图 12 相变材料为RT35，入口温度为333 K，体积流量为1.5 L/min，不同rmax和rfin下RC法出口温度的有效性验证
Figure 12. Validation of RC outlet temperature at different rmax and rfin with RT35, inlet temperature of 333 K and flow rate of 1.5 L/min
图 13 相变材料为RT35，入口温度为333 K，体积流量为1.5 L/min，不同δfin下RC法出口温度的有效性验证
Figure 13. Validation of RC outlet temperature at different δfin with RT35, inlet temperature of 333 K and flow rate of 1.5 L/min
图 14 体积流量为1.0 L/min，不同相变材料下RC法出口温度的有效性验证
Figure 14. Validation of RC outlet temperature using different PCM with flow rate of 1.0 L/min
图 15 相变材料为PCM0，入口温度为323 K，不同体积流量下RC法出口温度的有效性验证
Figure 15. Validation of RC outlet temperature at different flow rates with PCM0 and inlet temperature of 323 K
表 1 相变材料热物性参数
Table 1. PCM thermophysical parameters
参数 数值 PCM0[32] RT27[33-34] RT35[35-36] RT42[37-38] RT58[39-40] ρsolidus/（kg/m3） 910 880 860 880 900 ρliquidus/（kg/m3） 1000 760 770 760 760 cp/（J/（kg∙K）） 4190 2000 2000 2000 2100 L/（kJ/kg） 334 189 170 165 180 k/（W/（K∙m）） 0.6 0.2 0.2 0.2 0.2 Tsolidus/K 273 298 302 311 321 Tliquidus/K 273 300 309 315 335 μ /（Pa∙s） 0.001 0.02 0.023 0.02351 0.269 β/（1/K） 0.0002 0.0005 0.0006 0.0005 0.00011 
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