Investigation on influence mechanism of exit aspect ratio on thermal-solid interaction response of serpentine nozzle
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摘要:
为了明晰出口宽高比对S弯喷管流动传热和结构响应影响，采用基于计算结构动力学/计算流体力学（CSD/CFD）串行双向松耦合方法，研究了不同出口宽高比下的热固耦合响应影响。结果表明：弯曲构型作用下喷管整体热流密度分布不均匀，各处差异性较大，而各个喷管分布类似；随着出口宽高比增加，第二弯处热流密度不断增加；喷管出口等直段存在旋涡结构，使得传热受阻。结构响应中，各个S弯喷管应力分布类似，但应力最大值位置存在包括喷管出口端和第二弯通道上壁面棱边两处。随着出口宽高比增加，最大应力不断增大，出现时刻提前，出口宽高比为10的喷管应力最大，相对于最小的应力最大值增加了28%，出现时刻提前23.84 s。
Abstract:In order to clarify the effect of exit aspect ratio on the flow heat transfer and structural response of serpentine nozzle, a serial two-way loose coupling method based on computational structural dynamics/computational fluid dynamics (CSD/CFD) was used to study the effect of thermal-solid coupling response at different aspect ratios. Results were obtained as follows: the overall heatflux distribution of the nozzle under the action of the bending configuration was not uniform, with large variability at each location, while the heatflux distribution of individual nozzles was similar; the heatflux increased continuously at the second bend as exit aspect ratio increased; the vortex structure was generated at the exit isometric section, and the presence of the vortex structure hindered the heat transfer; in structural response, the distribution of stress in each serpentine nozzle was similar, but the maximum stress existed in two locations, including the nozzle exit end and the upper wall of the second bend channel. As the exit aspect ratio rose, the maximum stress also rose, and appeared in advance. Maximum stress with aspect ratio of 10 increased by 28% compared with the minimum stress, and the moment of appearance was 23.84 s earlier.
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图 9 圆管外壁面压力分布
Figure 9. Pressure distribution on the outer wall surface of the circular tube
图 10 圆管外壁面热流密度分布
Figure 10. Heat flux distribution on the outer wall surface of the circular tube
图 11 末时刻圆管外壁面温度分布
Figure 11. Temperature distribution of the outer wall surface of the circular tube at the last moment
图 17 不同第1层网格高度内壁面上、下对称面静压分布
Figure 17. Comparisons of pressure distributions on the symmetric wall inner surface for three heights of the first grid layer
图 18 不同第1层网格高度内壁面上、下对称面热流密度分布
Figure 18. Comparisons of heat flux distributions on the symmetric wall inner surface for three heights of the first grid layer
图 19 不同时间步长下温度随时间变化曲线
Figure 19. Comparisons of temperature versus time curves under two time steps
图 20 流通截面沿着轴向分布示意图
Figure 20. Schematic distribution of cross sections along the axial direction
图 22 不同出口宽高比S弯喷管几何模型
Figure 22. Comparisons of geometric model of nozzle with different aspect ratios
图 23 不同出口宽高比下对称面马赫数分布
Figure 23. Comparisons of Mach number at the symmetric surface under different aspect ratios
图 24 不同出口宽高比下内壁面上、下对称面静压分布
Figure 24. Comparisons of static pressure distributions at the symmetric inner wall surface under different aspect ratios
图 25 不同出口宽高比下内壁面上、下对称面热流密度分布
Figure 25. Comparisons of heatflux distributions at the symmetric inner wall surface under different aspect ratios
图 27 不同宽高比下对称面马赫数及流线分布
Figure 27. Comparisons of Mach number and streamline distributions at the symmetric surface under different aspect ratios
图 28 不同宽高比下沿程截面流线分布
Figure 28. Streamline distributions of cross sections along the axial direction under different aspect ratios
图 29 不同宽高比下沿程截面内壁面周向静压分布
Figure 29. Comparisons of static pressure distributions of cross sections along the axial direction under different aspect ratios
图 30 不同出口宽高比内壁面热流密度分布
Figure 30. Comparisons of heatflux distributions on the inner wall under different aspect ratio
图 31 不同宽高比不同时刻内壁面对称面温度分布
Figure 31. Comparisons of temperature distribution at the symmetric inner wall surface at different times with different aspect ratios
图 32 不同出口宽高比S弯喷管温度分布（t = 300 s）
Figure 32. Comparisons of temperature distribution of serpentine nozzle with different aspect ratio （t=300 s）
图 34 不同时刻不同出口宽高比S弯喷管出口端外壁面热应力分布
Figure 34. Comparisons of thermal stress distribution on the outer wall surface of the exit end of serpentine nozzle with different aspect ratio at different times
图 35 热应力最大值时刻不同出口宽高比S弯喷管热应力分布
Figure 35. Thermal stress distribution of serpentine nozzle with different aspect ratio at the moment of maximum thermal stress
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 S弯喷管材料参数
Table 4. 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 5 不同出口宽高比S弯喷管的第二段S弯通道的无量纲纵向偏距
Table 5. Values of longitudinal offset distance of the second bend channel of serpentine nozzle under different aspect ratios
We/He ΔY2/L2 2 0.158 4 0.147 6 0.141 8 0.137 10 0.134
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