Optimal Design of a Three-section-bending 90° Elbow Pipe
-
摘要: 90°弯曲导管是航空管路系统的常见形式,但是传统一段弯曲方式,在高压高速流体流经时,会产生较大的涡流区,易引发流体噪音和管道结构振动。本文以肘形导管为例,研究了三段弯曲式管形优化设计。首先,根据涡流区和二次流的产生位置,提出三段弯曲方式的两种肘形导管设计方案。然后,以减小弯曲段和出口段涡流平均值为目标,采用线性近似约束优化算法(COBYLA),对三段弯曲肘形导管对应的4个管形参数进行尺寸优化。优化结果表明,三段弯曲方式涡流减少6.29%,截面二次流最大速率降低51.97%,流经弯曲段的压力损失降低12.64%。最后,讨论了管径、压力、流速等因素对优化结果的影响,给出最优管形参数的取值范围。该设计为航空管路的弯管设计和消脉减振提供了技术手段。Abstract: The 90° elbow pipe is commonly used for pipeline system. However, the traditional one-section bending produces large turbulence in high-pressure flow and high-velocity fluid, which can cause noise and vibration of pipeline structure. This paper takes an elbow pipe as example to study the optimal design of three-section-bending elbow pipe. Firstly, two pipe shape schemes are proposed according to the vortex generation zone and the secondary flow in curved pipe. In order to minimize the mean value of eddy currents at bend and exit sections, the constrained optimization and linear approximation algorithm is adopted to optimize the 4 parameters of the bending pipe that correspond to the three-section elbow bending catheter. The optimization results show that the three-section bending method reduces the eddy current by 6.29%, the maximum velocity of the secondary flow decreases by 51.97%, and that the pressure loss through the bending section decreases by 12.64%. Finally, the influence of the factors such as diameter, pressure and flow velocity on the optimization results are discussed, and the range of the optimal pipe shape parameter is given. The design provides a theoretical basis for the design of bending section and pulse vibration elimination of an engine pipeline.
-
Key words:
- elbow pipe /
- turbulence /
- three-section elbow bending /
- vortex /
- pressure
-
表 1 最优管形参数结果
管形Ⅰ 管形Ⅱ θ1Ⅰ R21 θ2Ⅰ R31 θ2Ⅱ R1Ⅱ θ1Ⅱ R3Ⅱ 初始值 50.0° 60 mm 10.0° 50 mm 50.0° 40 mm 20.0° 45 mm 区间 [45, 90] [40, 80] [5, 45] [40, 80] [45, 90] [40, 80] [5, 45] [30, 80] 优化后 53.0° 80 mm 15.5° 70 mm 55.3° 40 mm 20.7° 80 mm 表 2 三段弯曲与一段弯曲管形的涡流平均值对比
s-1 管道各部分的涡流平均值 除去入口的涡流平均值 优化效果 入口直管段 弯曲段 出口直管段 原始管形 1135.41 1239.55 1269.67 1257.40 - 管形Ⅰ 1141.00 1184.73 1165.66 1178.33 6.29% 管形Ⅱ 1141.18 1199.45 1209.40 1203.37 4.30% 表 3 三段弯曲与一段弯曲管形的二次流强弱对比
(m·s-1) 弯曲段出口截面U的最大值 弯曲段出口截面U的平均值 出口截面U的平均值 下降幅度(最大值) 原始管形 3.177 2.199 0.804 - 管形Ⅰ 1.526 0.815 0.346 51.97% 管形Ⅱ 1.653 0.930 0.373 47.97% 表 4 三段弯曲与一段弯曲管形的压力损失对比
入口压力值/Pa 出口压力值/Pa 压力损失/Pa 降低幅度 原始管形 21014689.29 20999809.79 14879.51 - 管形Ⅰ 21012857.55 20999858.76 12998.80 12.64% 管形Ⅱ 21013487.64 20999832.40 13655.25 8.23% -
[1] 张杰.航空发动机液压管路系统振动机理研究[D].沈阳: 东北大学, 2012 http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=J0119481Zhang J. The study on vibration mechanism of hydraulic pipe system of aero-engine[D]. Shenyang: Northeastern University, 2012(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=J0119481 [2] 林君哲, 周恩涛, 杜林森, 等.流体参数对航空发动机液压管路振动特性的影响[J].东北大学学报(自然科学版), 2012, 33(10):1453-1456, 1469 doi: 10.12068/j.issn.1005-3026.2012.10.021Lin J Z, Zhou E T, Du L S, et al. Effect of fluid parameters on vibration characteristics of hydraulic pipe of aero-engine[J]. Journal of Northeastern University (Natural Science), 2012, 33(10):1453-1456, 1469(in Chinese) doi: 10.12068/j.issn.1005-3026.2012.10.021 [3] 付永领, 荆慧强.弯管转角对液压管道振动特性影响分析[J].振动与冲击, 2013, 32(13):165-169 doi: 10.3969/j.issn.1000-3835.2013.13.031Fu Y L, Jing H Q. Elbow angle effect on hydraulic pipeline vibration characteristics[J]. Journal of Vibration and Shock, 2013, 32(13):165-169(in Chinese) doi: 10.3969/j.issn.1000-3835.2013.13.031 [4] 丁珏, 翁培奋.90°弯管内流动的理论模型及流动特性的数值研究[J].计算力学学报, 2004, 21(3):314-321, 329 doi: 10.3969/j.issn.1007-4708.2004.03.010Ding J, Weng P F. Numerical simulation of theoretical models & flow characteristics in 90° bending duct[J]. Chinese Journal of Computational Mechanics, 2004, 21(3):314-321, 329(in Chinese) doi: 10.3969/j.issn.1007-4708.2004.03.010 [5] Tunstall M J, Harvey J K. On the effect of a sharp bend in a fully developed turbulent pipe-flow[J]. Journal of Fluid Mechanics, 1968, 34(3):595-608 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=S0022112068002107 [6] 江山, 张京伟, 吴崇健, 等.基于FLUENT的90°圆形弯管内部流场分析[J].中国舰船研究, 2008, 3(1):37-41 doi: 10.3969/j.issn.1673-3185.2008.01.009Jiang S, Zhang J W, Wu C J, et al. Numerical simulation of inner flow in 90° bending duct of circular-section based on FLUENT[J]. Chinese Journal of Ship Research, 2008, 3(1):37-41(in Chinese) doi: 10.3969/j.issn.1673-3185.2008.01.009 [7] Kim J, Yadav M, Kim S. Characteristics of secondary flow induced by 90-degree elbow in turbulent pipe flow[J]. Engineering Applications of Computational Fluid Mechanics, 2014, 8(2):229-239 doi: 10.1080/19942060.2014.11015509 [8] Rütten F, Meinke M, Schröder W. Large-eddy simulations of 90° pipe bend flows[J]. Journal of Turbulence, 2001, 2:N3 doi: 10.1088/1468-5248/2/1/003 [9] 李杰, 郝鹏飞, 张锡文, 等.弯管流动的非均匀性及其整流[J].机械工程学报, 2002, 38(12):146-148 doi: 10.3321/j.issn:0577-6686.2002.12.031Li J, Hao P F, Zhang X W, et al. Inhomogeneous effect of the flow in a curved pipe and the homogenization of the flow[J]. Chinese Journal of Mechanical Engineering, 2002, 38(12):146-148(in Chinese) doi: 10.3321/j.issn:0577-6686.2002.12.031 [10] 谢振华, 周艳荣.90°方截面弯管内加装导流板的优化研究[J].应用基础与工程科学学报, 2009, 17(4):566-572 doi: 10.3969/j.issn.1005-0930.2009.04.009Xie Z H, Zhou Y R. Optimization research on guide plate installed in quadrate 90° curved duct[J]. Journal of Basic Science and Engineering, 2009, 17(4):566-572(in Chinese) doi: 10.3969/j.issn.1005-0930.2009.04.009 [11] 贾兴豪, 彭向和, 龙血松.导流板改善弯管流场的数值模拟与优化[J].西南大学学报(自然科学版), 2011, 33(3):139-143 http://d.old.wanfangdata.com.cn/Periodical/xnnydxxb201103028Jia X H, Peng X H, Long X S. Numerical simulation and optimization of flow field in elbow pipes with baffle[J]. Journal of Southwest University (Natural Science Edition), 2011, 33(3):139-143(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/xnnydxxb201103028 [12] Moujaes S F, Aekula S. CFD predictions and experimental comparisons of pressure drop effects of turning vanes in 90° duct elbows[J]. Journal of Energy Engineering, 2009, 135(4):119-126 doi: 10.1061/(ASCE)0733-9402(2009)135:4(119) [13] Röhrig R, Jakirliĉ S, Tropea C. Comparative computational study of turbulent flow in a 90° pipe elbow[J]. International Journal of Heat and Fluid Flow, 2015, 55:120-131 doi: 10.1016/j.ijheatfluidflow.2015.07.011 [14] Wang S M, Ren C, Sun Y F, et al. A study on the instantaneous turbulent flow field in a 90-degree elbow pipe with circular section[J]. Science and Technology of Nuclear Installations, 2016, 2016:5265748 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=Doaj000004576167 [15] 董亮, 刘厚林, 代翠, 等.不同湍流模型在90°弯管数值模拟中的应用[J].华中科技大学学报(自然科学版), 2012, 40(12):18-22 http://d.old.wanfangdata.com.cn/Periodical/hzlgdxxb201212005Dong L, Liu H L, Dai C, et al. Application of different turbulent models to numerically simulating 90° duct bends[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2012, 40(12):18-22(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/hzlgdxxb201212005 [16] 李国君, 丰镇平, 徐克鹏, 等.可压缩k-ω方程紊流模型及其应用[J].工程热物理学报, 1999, 20(3):309-312 http://d.old.wanfangdata.com.cn/Conference/5488Li G J, Feng Z P, Xu K P, et al. The compressible k-ω turbulence model and its application[J]. Journal of Engineering Thermophysics, 1999, 20(3):309-312(in Chinese) http://d.old.wanfangdata.com.cn/Conference/5488 [17] Powell M J D. A direct search optimization method that models the objective and constraint functions by linear interpolation[M]//Gomez S, Hennart J P. Advances in Optimization and Numerical Analysis. Netherlands: Springer, 1994: 51-67