管道不可压缩流动压力脉动(伪声)的数值研究

PDF(2420 KB)

振动与冲击 ›› 2021, Vol. 40 ›› Issue (14) : 10-17.

论文

蔡建程1,2，谢新俊1，MOCHALIN Ievgen1,2，BRAZHENKO Volodymyr1,2，鄂世举1,2

作者信息 +

Numerical study on the hydraulic pressure fluctuations (pseudo-sound) of incompressible flows in pipes

CAI Jiancheng1,2，XIE Xinjun1，MOCHALIN Ievgen1,2，BRAZHENKO Volodymyr1,2，E Shiju1,2

Author information +

文章历史 +

摘要

以直管和90°弯管为对象，研究管道不可压缩流动的水动力压力脉动(伪声)特性。分析了不可压缩流动中压力脉动的Poisson方程，并与波动方程进行了比较；在管道进口处设置随时间正弦变化的压力脉动，使用SST k-ω湍流模型，通过数值求解不可压缩流动的Navier-Stokes方程得到直管和弯管内的脉动流动；比较分析了直管和弯管内的时均流场及脉动流动。结果表明：沿管道流动方向流场压力脉动线性衰减，压力脉动传播整体上呈一维形式，而速度脉动形式紊乱；90°弯头对局部流动影响明显，导致压力和速度脉动均有提高；流场脉动以基频及低次谐波为主，90°弯头导致宽频脉动分量有所提高；归因于压力脉动的椭圆型Poisson方程，扰动的传播速度为无穷大，管道各处压力脉动信号无相位差。

Abstract

The hydraulic pressure fluctuations (pseudo sound) inside a straight pipe and a curved-pipe with a 90° bend were studied.Firstly, the Poisson equation of the pressure field related to incompressible flow was derived and compared with the wave equation.Then, by solving the incompressible Navier-Stokes equations together with the SST k-ω turbulence model, the unsteady flows inside the two pipes with a sinusoidal pressure boundary condition being applied at the pipe inlet were obtained.Finally, the characteristics of the mean and fluctuating flow fields in the straight and curved pipes were analyzed.The results show that the amplitude of pressure fluctuation decreases linearly along the pipe downstream direction with 1D propagation pattern, while the velocity fluctuation is very chaotic.The 90° bend has obvious influence on the local flow causing the increase of pressure and velocity fluctuation therein.Due to the sinusoidal pressure pulsations at the pipe inlet, the flow fluctuations inside the pipes are dominated by the fundamental frequency and its low-order harmonics, and the 90° bend contributes the broadband fluctuation.Owing to the adoption of the elliptic Poisson equation of pressure fluctuation, the propagation speed of the disturbance is infinite, and there is no phase difference in the pressure fluctuation signals at different locations inside the pipes.

导出引用

蔡建程，谢新俊，MOCHALIN Ievgen，BRAZHENKO Volodymyr，鄂世举. 管道不可压缩流动压力脉动(伪声)的数值研究[J]. 振动与冲击, 2021, 40(14): 10-17

CAI Jiancheng，XIE Xinjun，MOCHALIN Ievgen，BRAZHENKO Volodymyr，E Shiju. Numerical study on the hydraulic pressure fluctuations (pseudo-sound) of incompressible flows in pipes[J]. Journal of Vibration and Shock, 2021, 40(14): 10-17

参考文献

［1］党锡淇, 黄幼玲.工程中的管道振动问题［J］.力学与实践, 1993,15(4): 9-16.
DANG Xiqi, HUANG Youling.Pipeline vibration in engineering［J］.Mechanics in Engineering, 1993,15(4): 9-16.

［2］贺尚红, 谭文成.液压管网压力脉动的仿真研究［J］.液压气动与密封, 2012,32(11): 19-22.
HE Shanghong, TAN Wencheng.A simulation study on pressure pulsation of hydraulic pipe network［J］.Hydraulics Pneumatics ＆ Seals, 2012,32(11): 19-22.

［3］CYKLIS P.Experimental identification of the transmittance matrix for any element of the pulsating gas manifold［J］.Journal of Sound and Vibration, 2001,244(5): 859-870.

［4］熊怡君, 张晓青, 张栋, 等.大型往复压缩机管道系统气流脉动的计算［J］.工程热物理学报, 2017,38(10): 2119-2124.
XIONG Yijun, ZHANG Xiaoqing, ZHANG Dong, et al.Calculation of gas pulsation in large reciprocating compressor piping system［J］.Journal of Engineering Thermophysics, 2017,38(10): 2119-2124.

［5］XU B, FENG Q K, YU X L.Prediction of pressure pulsation for the reciprocating compressor system using finite disturbance theory［J］.Journal of Vibration and Acoustics, Transactions of the ASME, 2009,131(3): 1-7.

［6］TANAKA M A, OHSHIMA H, MONJI H.Numerical investigation of flow structure in pipe elbow with large eddy simulation approach［C］//ASME 2009 Pressure Vessels and Piping Conference.Prague: American Society of Mechanical Engineers, 2009.

［7］TAN L, ZHU B S, WANG Y C, et al.Turbulent flow simulation using large eddy simulation combined with characteristic-based split scheme［J］.Computers & Fluids, 2014,94(1): 161-172.

［8］DUTTA P, SAHA S K, NANDI N, et al.Numerical study on flow separation in 90° pipe bend under high Reynolds number by k-ε modelling［J］.Engineering Science & Technology an International Journal, 2016,19(2): 904-910.

［9］陈敏, 刘明月, 张志国, 等.不同雷诺数下90°弯管内二次流的数值模拟［C］//第十一届全国水动力学学术会议暨第二十四届全国水动力学研讨会并周培源诞辰110周年纪念大会.无锡：中国力学学会, 2012.

［10］李静, 杨俊红, 黄涛, 等.雷诺数和半径比对90°圆弧弯管流动特性的数值研究［J］.机械科学与技术, 2017,36(10): 1491-1497.
LI Jing, YANG Junhong, HUANG Tao, et al.Numerically studying effects of reynolds number and radius ratio on flow characteristics of 90° arc bend pipe［J］.Mechanical Science and Technology for Aerospace Engineering, 2017,36(10): 1491-1497.

［11］魏志, 王玉璋.阀体后90°圆形弯管内部流场的数值模拟［J］.动力工程学报, 2013,33(8): 595-599.
WEI Zhi, WANG Yuzhang.Numerical simulation on inner flow in a 90° circular-sectioned bend with fore-end valve［J］.Chinese Journal of Power Engineering, 2013,33(8): 595-599.

［12］梁开洪, 曹树良, 陈炎, 等.入流角对圆截面 90 弯管内高雷诺数流动的影响［J］.清华大学学报 (自然科学版), 2009,49(12): 1971-1975.
LIANG Kaihong, CAO Shuliang, CHEN Yan, et al.Effect of inflow angle on high Reynolds number flows in circular-sectioned 90° bends［J］.Journal of Tsinghua University(Science and Technology), 2009,49(12): 1971-1975.

［13］韩文龙, 韩省亮, 白长青.往复式压缩机管道系统气流脉动的数值与实验研究［J］.西安交通大学学报, 2013,47(5): 61-66.
HAN Wenlong, HAN Shengliang, BAI Changqing.Numerical and experimental research on gas pulsation in reciprocating compressor piping system［J］.Journal of Xi’an Jiaotong University, 2013,47(5): 61-66.

［14］马斓擎.压缩机管路系统气流动力学仿真及应力分析［D］.北京: 北京化工大学, 2015.

［15］周红, 刘永寿, 岳珠峰.输流管道压力脉动计算分析［J］.机械科学与技术, 2011,30(9): 1435-1438.
ZHOU Hong, LIU Yongshou, YUE Zhufeng.Calculation analyze of pressure pulsation in fluid flowing pipeline［J］.Mechanical Science and Technology, 2011,30(9): 1435-1438.

［16］Ansys Inc.ANSYS fluent theory guide release 19.1［M］.Canonsburg: ANSYS Inc., 2018.