Modeling an unsteady flow is an important problem in pressurized pipeline systems. Depending on the dimensions and properties of the fluid and pipeline material, the generation of hydraulic transient issues and their spatiotemporal variation patterns can be different. To address the water hammer problem without scale issues in pipeline systems, this study developed a dimensionless impedance method (DIM). The existing partial differential equations of mass, momentum, and energy conservation were converted into corresponding dimensionless equations. The solutions of proposed equations were analytically developed in terms of several operators in the dimensionless frequency domain. A dimensionless water hammer number was introduced to address the similarity in hydraulic transients between different systems. Both numerical and experimental comparisons showed that the DIM well matched the existing methods. Based on comprehensive simulations of water hammer phenomena for ranges of water hammer numbers, a vectorized chart was formulated for a reservoir pipeline valve system. Both simulations and calibrations of the experimental hydraulic transients achieved well-matched results between the DIM computations and chart interpolation results. The proposed DIM method can provide substantial efficiency for both simulation and calibration, as well as generality in transient solutions for pipeline systems.

模拟非定常流动是加压管道系统中的一个重要问题。根据流体和管道材料的尺寸和特性，水力瞬态问题的产生及其时空变化模式可能会有所不同。为了解决管道系统中的水锤问题而没有水垢问题，本研究开发了一种无量纲阻抗法 (DIM)。将现有的质量、动量和能量守恒的偏微分方程转化为相应的无量纲方程。所提出方程的解是根据无量纲频域中的几个算子进行分析开发的。引入了无量纲水锤数来解决不同系统之间水力瞬态的相似性。数值和实验比较都表明 DIM 与现有方法非常匹配。在对水锤数量范围内的水锤现象进行综合模拟的基础上，制定了油藏管道阀门系统的矢量化图表。实验水力瞬态的模拟和校准都在 DIM 计算和图表插值结果之间取得了很好的匹配结果。所提出的 DIM 方法可以为模拟和校准提供显着的效率，以及管道系统瞬态解决方案的通用性。实验水力瞬态的模拟和校准都在 DIM 计算和图表插值结果之间取得了很好的匹配结果。所提出的 DIM 方法可以为模拟和校准提供显着的效率，以及管道系统瞬态解决方案的通用性。实验水力瞬态的模拟和校准都在 DIM 计算和图表插值结果之间取得了很好的匹配结果。所提出的 DIM 方法可以为模拟和校准提供显着的效率，以及管道系统瞬态解决方案的通用性。