Investigation on influence mechanism of area ratio of first bend on thermal-solid interaction response of serpentine nozzle
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摘要:
为了明晰第一弯出口面积比对S弯喷管流动传热和结构响应影响，采用基于多物理耦合分析软件MPCCI的串行双向松耦合方法，研究了不同第一弯出口面积比下的热固耦合响应影响。结果表明：大曲率且多弯的结构构型作用下，S弯喷管整体热流密度分布不均匀而各个喷管分布类似；各个喷管第一弯处上壁面传热最强，随着第一弯出口面积比的增加，第一弯处热流密度逐渐降低；喷管内部旋涡结构使得传热受阻。结构应力响应中，各个喷管最大应力皆出现在出口端上壁面；第一弯出口面积比为0.8的构型喷管在
t =39.92 s时刻首先出现最大应力，且随着第一弯出口面积比的减小，各个喷管最大应力值出现时刻推迟，最大应力值也逐渐减小，相比第一弯出口面积比为0.5的喷管提前了7.12 s，应力最大值减小了7.4%。Abstract:In order to clarify the effect of area ratio of the first bend on the flow heat transfer and structural response of serpentine nozzle, the effect of the thermal-solid coupling response under different area ratios of the first bend was investigated using the serial two-way loose coupling method based on the multi-physics coupling analysis software MPCCI (mesh-based parallel code coupling interface). Results were obtained as follows: the overall heatflux distribution of the nozzle under the action of large curvature and multi-bend structure was non-uniform, while the heatflux distribution of nozzles was similar; the strongest heat transfer occurred at the first bend of different nozzles, and with the increase of the outlet area ratio of the first bend, the heat flux at the first bend decreased gradually; the vortex structure was generated at the exit isometric section, making the heat transfer blocked. In structural stress response, the maximum stresses of all nozzles appeared at the exit end of the upper wall. Serpentine nozzle with the first bend outlet area ratio of 0.8 at
t =39.92 s time first exhibited the maximum stress, with the decrease of area ratio of the first bend, the maximum stress value of each nozzle delayed the emergence of the maximum stress value was gradually reduced, compared with area ratio of the first bend of 0.5 ahead of the 7.12 s, the maximum value of the stress was reduced by 7.4%. -
图 5 圆管外壁面压力分布
Figure 5. Pressure distribution on the outer wall surface of the circular tube
图 6 圆管外壁面热流密度分布
Figure 6. Heatflux distribution on the outer wall surface of the circular tube
图 7 末时刻圆管外壁面温度分布
Figure 7. Temperature distribution of the outer wall surface of the circular tube at the last moment
图 13 不同第1层网格高度内壁面对称面压力分布
Figure 13. Pressure distributions on the symmetric wall inner surface for different grid heights of the first grid layer
图 14 不同第1层网格高度内壁面对称面热流密度分布
Figure 14. Heatflux distributions on the symmetric wall inner surface for different grid heights of the first grid layer
图 15 不同时间步长特征点温度随时间变化曲线
Figure 15. Temperature of feature points versus time curves under different time steps
图 16 沿程截面轴向分布示意图
Figure 16. Schematic distribution of cross sections along the axial direction
图 18 不同第一弯出口面积比S弯喷管几何模型
Figure 18. Geometric model of serpentine nozzle with different area ratios of first bend
图 19 不同第一弯出口面积比对称面Ma分布
Figure 19. Mach number distribution at the symmetric surface under different area ratios of first bend
图 20 不同第一弯出口面积比内壁面对称面压力分布
Figure 20. Static pressure distributions at the symmetric inner wall surface under different area ratios of first bend
图 21 不同第一弯出口面积比内壁面对称面热流密度分布
Figure 21. Heatflux distributions at the symmetric inner wall surface under different area ratios of first bend
图 23 不同第一弯出口面积比对称面Ma数及流线分布
Figure 23. Mach number and streamline distributions at the symmetric surface under different area ratios of first bend
图 24 同第一弯出口面积比沿程截面流线分布
Figure 24. Streamline distributions of cross sections along the axial direction under different area ratios of first bend
图 25 不同第一弯出口面积比沿程截面静压分布
Figure 25. Static pressure distributions of cross sections along the axial direction under different area ratios of first bend
图 26 不同第一弯出口面积比内壁面热流密度分布
Figure 26. Heatflux distributions on the inner wall under different area ratios of first bend
图 27 不同第一弯出口面积比不同时刻内壁面对称面温度分布
Figure 27. Temperature distribution at the symmetric inner wall surface at different times with different area ratios of first bend
图 28 不同第一弯出口面积比温度分布（t=300 s）
Figure 28. Temperature distribution under different area ratios of first bend （t=300 s）
图 29 应力最大值时刻不同第一弯出口面积比S弯喷管热应力分布
Figure 29. Thermal stress distribution of serpentine nozzle with different area ratios of first bend at the moment of maximum thermal stress
图 31 不同第一弯出口面积比不同时刻出口端面外壁面热应力分布
Figure 31. Thermal stress distribution on the outer wall surface of the exit end under different area ratios of first bend at different times
参数 数值 Ma∞ 6.47 T*/K 241.5 p*/Pa 648.1 Re∞/106 1.31 
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参数 数值 ρ/（kg/m3） 8030 cp/（J/（kg·K）） 502.48 k/（W/（m·K）） 16.27
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表 4 同行计算结果比较
Table 4. Comparison of results of peers
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表 5 材料参数
Table 5. Material parameters
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 7 不同第一弯出口面积比对应第二弯纵向偏距
Table 7. Values of longitudinal offset distance under different area ratios of first bend
A1/Ain ΔY2/L2 0.5 0.132 0.6 0.147 0.7 0.159 0.8 0.172
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