Simulation of Transient Flow in Gas Pipe System

• Main Authors: Chao-Liang Cheng, 鄭兆良
• Other Authors: 鄧道興
• Format: Others
• Language: en_US
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/88bsjt

碩士 === 國立臺北科技大學 === 有機高分子研究所 === 96 === In this study, the electrical analogy method was applied to investigate the unsteady flow in the pipeline network. The conventional governing equations involve two partial differential equations which are always solved by complicated numerical method; therefore, several methods considered faster and easier to apply have been developed. For example, Newton-Raphson calculated by finite-difference, Von Neumann stability analysis, Iterative convergence etc. Unlike the conventional methods for pipe network analysis, in which the Kirchhoff’s laws are applied to each node and mesh respectively and either one of the two equations is only used to verify the solution in most cases; in this study a mathematical model based on electrical analogy and transformation theory was applied to analyse unsteady pipe network. The transformation methods with transformation tensor are based on structure of network and the application of Kirchhoff’s laws. The feature of this new modeling method is that the system equations are extended by combining resistance and capacitance, which leads to a set of integral equations instead of the conventional partial differential equations describing conservation of mass, momentum and energy. It is found that the results obtained are comparable to those obtained from traditional methods published in the literature. The proposed method is computationally efficient and is readily applicable as a method for control of networks.