Thermal Characteristics of Steel-BFPC Interface Under Oil Medium
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摘要:
为了研究钢和玄武岩纤维树脂混凝土（BFPC）组成的结合面在油介质条件下的热特性，首先，利用离散原理来计算钢-BFPC结合面的实际接触面积，由于结合面接触时本质上是微凸体接触，微凸体会受到挤压形成挤压应力不同的面积区域，故进一步考虑接触比重，提高实际接触面积结果的精确性；然后，根据结合面的形貌特征，结合傅里叶定律分析油介质条件下钢-BFPC结合面的传热机理；最后，分别通过理论计算和实验研究分析不同载荷（0.2、0.4、0.6、0.8、1.0 MPa）对结合面热特性参数的影响. 研究结果表明：接触热阻随着载荷增大而减小，传热系数和导热系数随着载荷增大而增大，不同载荷下，理论计算与实验计算的接触热阻误差分别为6.40%、6.18%、5.85%、4.61%、3.73%，接触热阻的误差随着载荷增大而减小.
Abstract:In order to study the thermal characteristics of the interface composed of steel and basalt fiber polymer concrete (BFPC) under oil medium conditions, the discrete principle was first used to calculate the actual contact area of the steel-BFPC interface. Since the contact surface is essentially a micro convex contact, the micro convex body is subjected to certain extrusion, forming an area with different extrusion stresses. Therefore, the accuracy of the actual contact area was further improved while considering the specific gravity of contact. Then, based on the morphology characteristics of the interface and Fourier’s law, the heat transfer mechanism of the steel-BFPC interface under oil medium conditions was analyzed. Finally, the influence of different loads (0.2, 0.4, 0.6, 0.8, and 1.0 MPa) on the thermal characteristic parameters of the interface was analyzed through theoretical calculation and experimental research. The results show that with the increase in load, the contact thermal resistance decreases, and the heat transfer coefficient and thermal conductivity coefficient increase. Under different loads, the error of contact thermal resistance between theoretical calculation and experimental calculation is 6.40%, 6.18%, 5.85%, 4.61%, and 3.73%, respectively. The error of contact thermal resistance decreases with increasing load.
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图 4 考虑接触比重的离散单元
Figure 4. Discrete element diagram considering specific gravity of contact
图 7 载荷对结合面接触热阻影响
Figure 7. Influence of load on contact thermal resistance of interface
图 9 理论计算与实验计算的接触热阻结果对比
Figure 9. Comparison of contact thermal resistance results between theoretical calculation and experimental calculation
图 10 理论计算与实验计算的接触热阻误差
Figure 10. Contact thermal resistance error of theoretical calculation and experimental calculation
表 1 不同等分份数的计算结果
Table 1. Calculation results for different aliquots
等分
份数/份内接触
单元数/个边界接触
单元数/个接触
面积比90 6236 722 0.8235 180 10726 7427 0.4502 270 15032 17615 0.3474 360 21738 27822 0.2542 540 36158 49821 0.1807 720 63545 63358 0.1413 
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表 2 不同载荷下计算得到的热特性参数
Table 2. Thermal characteristic parameters calculated under different loads
载荷P/
MPa单位面积法向刚度/
（N·（m·mm2）−1）传热厚Lc/
μm实际接触面积之比
Ac/A导热系数λc/（W·（m·K）−1） 传热系数hc/（W·（m2·K）−1） 接触热阻Rc/
(K·W−1)0.2 7769.34 1474.26 0.0502 0.262 177.716 0.250 0.4 13093.29 1469.49 0.0767 0.337 229.331 0.194 0.6 17326.02 1465.37 0.0918 0.380 259.320 0.171 0.8 21029.01 1461.96 0.1103 0.427 292.398 0.152 1.0 23105.36 1456.72 0.1349 0.483 331.675 0.134
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表 3 不同载荷下实验计算得到的结合面热特性参数
Table 3. Thermal characteristic parameters of interface calculated by experiments under different loads
载荷P/MPa T1/
℃T2/
℃温差ΔT/
℃导热系数
λc/（W·（m·K）−1）传热系数
hc/（W·（m2·K）−1）接触热阻
Rc/（K·W−1）接触热阻
误差/%0.2 114.5 82.3 32.2 0.281 189.933 0.234 6.40 0.4 115.3 85.2 30.1 0.359 244.204 0.182 6.18 0.6 115.7 85.4 29.3 0.405 276.052 0.161 5.85 0.8 114.9 86.2 28.7 0.448 306.513 0.145 4.61 1.0 115.6 87.4 28.2 0.487 344.531 0.129 3.73
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