Investigation on influence mechanism of aspect ratio on thermal-solid interaction response of serpentine nozzle
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摘要:
为了明晰第一弯出口宽度比对S弯喷管流动传热和结构响应的影响，采用串行双向松耦合方法，研究了不同第一弯出口宽度比下的热固耦合响应影响。结果表明：多弯且不同沿程截面过度的结构特征，使得喷管内部流动传热复杂化，S弯喷管整体热流密度分布不均匀，以第一弯处上壁面传热最强；随着第一弯出口宽度比的增加，第一弯处上壁面热流密度不断增加；喷管出口等直段旋涡结构使得传热受阻，热流密度较低；温度响应中，各个喷管第一弯处上壁面产生局部极大值，随后转移至进口，第一弯出口宽度比0.715的喷管，在下壁面进口位置附近产生局部极小值，不同于其余喷管；各个S弯喷管应力随时间的增加，先增加后减小，随着第一弯出宽度比的增加，各喷管应力最大值，出现时刻推迟且在不断减小；第一弯出口宽度比0.715的喷管首先出现应力最大值，为159.346 MPa，相比于第一弯出口宽度比1.165的构型喷管，提前了10.3 s，减小了27.2%。
Abstract:In order to clarify the effect of the first bend width ratio on the flow heat transfer and structural response of the serpentine nozzle, the effects of the thermal-solid coupling responses under different first bend width ratios were investigated by using the two-way loose coupling method. The results showed that the structural characteristics of multiple bends and different cross sections along the path complicated the heat transfer inside the nozzle, the overall heat flux distribution of the serpentine nozzle was non-uniform, and the heat transfer was strongest on the upper wall at the first bend; with the increase of the width ratio of the first bend, the heat flux of the upper wall at the first bend increased; the vortex structures of the straight section of the nozzle exit made the heat transfer blocked and the heat flux lower; in the temperature response, all nozzles produced extreme values of temperature on the upper wall at the first bend, which were subsequently shifted to the inlet, and the nozzle with a width ratio of 0.715 of the first bend produced extreme values of temperature near the position of the inlet on the lower wall, unlike the rest of the nozzles; the stresses of all serpentine nozzles increased and then decreased with time. As the width ratio of the first bend increased, the moment of maximum stress in each nozzle was delayed and the maximum stress decreased; the nozzle with a width ratio of 0.715 at the first bend was the first to show a stress maximum of 159.346 MPa, which was 10.3 s earlier and 27.2% less compared with the nozzle of a configuration with a width ratio of 1.165 at the first bend.
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图 5 圆管外壁面热流密度分布
Figure 5. Heatflux distribution on the outer wall surface of the circular tube
图 6 末时刻圆管外壁面温度分布
Figure 6. Temperature distribution of the outer wall surface of the circular tube at the last moment
图 13 流通截面沿着轴向分布示意图
Figure 13. Schematic distribution of cross sections along the axial direction
图 15 不同第一弯出口宽度比S弯喷管几何模型
Figure 15. Geometric model of the serpentine nozzle with different aspect ratios
图 16 不同第一弯出口宽度比下对称面Ma分布
Figure 16. Comparisons of Mach number at the symmetric surface under different aspect ratio
图 17 不同第一弯出口宽度比下内壁面上、下对称面静压分布
Figure 17. Comparisons of static pressure distributions at the upper and lower symmetric surface of the inner wall surface under different aspect ratios
图 18 不同第一弯出口宽度比下内壁面上、下对称面热流密度分布
Figure 18. Comparisons of heatflux distributions at the upper and lower symmetric surface of the inner wall surface under different aspect ratios
图 20 不同第一弯出口宽度比下对称面马赫数及流线分布
Figure 20. Comparisons of Mach number and streamline distributions at the symmetric surface under different aspect ratios
图 21 沿程截面流线分布
Figure 21. Comparisons of streamline distributions of cross sections along the axial direction
图 22 不同第一弯出口宽度比下沿程截面内壁面周向静压分布
Figure 22. Comparisons of static pressure distributions of cross sections along the axial direction under different aspect ratios
图 23 不同第一弯出口宽度比内壁面热流密度分布
Figure 23. Comparisons of heatflux distributions on the inner wall under different aspect ratios
图 24 不同第一弯出口宽度比不同时刻内壁面对称面温度分布
Figure 24. Comparisons of temperature distribution at the symmetric inner wall surface at different times with different aspect ratios
图 25 不同第一弯出口宽度比S弯喷管温度分布（t=300 s）
Figure 25. Comparisons of temperature distribution of serpentine nozzle with different aspect ratios （t=300 s）
图 26 热应力最大值时刻不同第一弯出口宽度比S弯喷管热应力分布
Figure 26. Thermal stress distribution of serpentine nozzle with different aspect ratio at the moment of maximum thermal stress
图 28 不同时刻不同第一弯出口宽度比S弯喷管出口端外壁面热应力分布
Figure 28. Comparisons of thermal stress distribution on the outer wall surface of the exit end of serpentine nozzle with different aspect ratios at different times
表 1 无量纲设计参数值
Table 1. Values of non-dimensional design parameters
无量纲设计参数 数值 L/D 2.43 L1/L2 0.67 We/He 4.00 W1/D 1.11 A1/Ain 0.60 遮挡率 0.25 
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表 2 S弯喷管材料参数
Table 2. Material parameters of serpentine nozzle
T/K k/（W/（m·K）） E/GPa γ 293.15 12.5 210 0.382 373.15 14.0 206 0.389 423.15 14.8 473.15 15.9 200 0.389 523.15 16.7 573.15 17.6 194 0.392 623.15 18.5 673.15 19.2 188 0.405 723.15 19.9 773.15 20.6 181 0.404 823.15 21.3 873.15 22.1 174 0.395 973.15 166 0.415
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表 3 不同第一弯出口宽度比S弯喷管的第二段S弯通道的无量纲纵向偏距
Table 3. Values of longitudinal offset distance of the second channel of the serpentine nozzle under different aspect ratios
W1/D ΔY2/L2 0.715 0.182 0.865 0.161 1.015 0.147 1.165 0.135
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