Measurements of Pulsation Generated Due to Turning Flow Into Side Branches of Different Diameter Ratios

K. Botros, H. Satish
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Abstract

The present investigation was motivated by a noticeable high-pressure pulsations and vibrations during commissioning of a centrifugal compressor on a high-pressure natural gas transmission system. During commissioning, the gas from the compressor discharge is recycled back to compressor inlet through a recycle line turning the gas flow from the main discharge line into a smaller diameter side branch, thus creating a deadleg due to the closure of a check valve farther downstream on the main discharge line. To better understand and characterize the flow generated pulsations due turning flow into side branches, an experimental setup was constructed on ambient air to test three side-branch to main pipe diameter ratios (d/D), nominally: 1.0, 0.75 and 0.5, over a wide range of mean flow velocities. Experimental results of the normalized pulsation pressure amplitudes (P*) vs. Strouhal number characterized the flow-acoustic field for the three d/D ratios and for acoustically tuned and detuned systems. It was found that P* decreases as d/D decreases for acoustically tuned systems. The highest P* was achieved with d/D = 1 which reached a value of 3.543 at St = 0.1376. At lower d/D = 0.762, the maximum value of P* decreased to 1.173 at a slightly lower St number of approximately 0.1. In the case of d/D = 0.5132, the normalized pressure P* was further reduced to a very low value of 0.2462 at a wider range of St number. Acoustically tuned system is characterized by having the highest anti-nodal point of acoustic velocity oscillation at the Tee-junction location in the axial direction of the main pipe, with minimum acoustic leakage into the side branch. When the system is acoustically detuned, i.e., when the axial acoustic velocity oscillations at the Tee-junction is reduced, the strength of the local acoustic source at the junction is also reduced resulting in a lower peak normalized pressure amplitude at the deadleg. The peak amplitudes of pressure pulsations occur at frequencies exactly matching the deadleg 1/4 wavelength resonance, whether it is tuned or detuned with respect to the inlet section. That is, the peak frequencies tracked the changes in the deadleg length and was not influenced by the inlet section acoustic resonance characteristics. This led to the postulation that the main driver of the flow-generated pulsations, i.e., the acoustic source is associated with the high-shear area of the flow facing the deadleg at the trailing edge of the Tee-junction rather than the ‘vortex bubble’ due to flow separation at the leading edge of the side branch.
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不同径比的侧支路转流产生脉动的测量
本研究的动机是在高压天然气输送系统的离心压缩机调试过程中出现明显的高压脉动和振动。在调试期间,来自压缩机排放物的气体通过一条循环管线回流到压缩机进口,将来自主排放物管线的气体流转化为直径更小的侧分支,从而由于主排放物管线下游的止回阀关闭而造成死腿。为了更好地理解和表征由于转向侧支管而产生的流动脉动,在环境空气中建立了一个实验装置,在广泛的平均流速范围内测试三个侧支与主管道直径比(d/ d),名义为1.0,0.75和0.5。归一化脉动压力幅值(P*)与Strouhal数的实验结果表征了三个d/ d比以及声学调谐和非调谐系统的流声场。在声学调谐系统中,P*随着d/ d的减小而减小。当d/ d = 1时P*最高,St = 0.1376时P*为3.543。当d/ d = 0.762时,P*的最大值降至1.173,St数略低,约为0.1。当d/ d = 0.5132时,在较大的St数范围内,归一化压力P*进一步减小到0.2462的极低值。声调谐系统的特点是在主管道轴向的tee结位置声速振荡的抗节点最高,侧支路的声泄漏最小。当系统声学失谐时,即当tee结处的轴向声速振荡减小时,结处局部声源的强度也会减小,从而导致死腿处的归一化压力振幅峰值降低。压力脉动的峰值幅值发生在与死腿1/4波长共振完全匹配的频率上,无论它相对于入口部分是调谐的还是调谐的。即峰值频率跟踪死腿长度的变化,不受进口截面声学共振特性的影响。这导致了一种假设,即流动产生脉动的主要驱动因素,即声源与tee结尾缘面向死腿的流动的高剪切区域有关,而不是与侧分支前缘由于流动分离而产生的“涡泡”有关。
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