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DYNAMIC MODELING OF NON-ISOTHERMAL GAS PIPELINE SYSTEMS

机译:非等温燃气管道系统的动力学建模

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摘要

Natural gas systems are becoming more and more complex as the usage of this energy source increase. Mathematical models are used to design, optimize, and operate increasingly complex natural gas pipeline systems. Researchers continue to develop unsteady mathematical models that focus on the unsteady nature of these systems. Many related design problems, however, could be solved using steady- state modeling. Several investigators have studied the problem of compressible fluid flow through pipelines and have developed various numerical schemes, which include the method of characteristics, finite element methods, and explicit and implicit finite difference methods. The choice partly depends on the individual requirements of the system under investigation. In this work, the fully implicit finite difference method was used to solve the continuity, momentum, energy, and equations of state for flow within a gas pipeline system. The particular solution method described in this paper does not neglect the inertia term in the conservation of momentum equation. It also considered the compressibility factor as a function of temperature and pressure, and the friction factor as a function of the Reynolds number. The fully implicit method representation of the equations offer the advantage of guaranteed stability for a large time step, which is very useful for the gas industry. The results show that the effect of treating the gas in a non-isothermal manner is extremely necessary for pipeline flow calculation accuracies, especially for rapid transient processes. The results indicate that the inertia term plays an important role in the gas flow analysis and cannot be neglected from the calculation.
机译:随着这种能源的使用增加,天然气系统变得越来越复杂。数学模型用于设计,优化和运行日益复杂的天然气管道系统。研究人员继续开发关注这些系统不稳定特性的不稳定数学模型。但是,可以使用稳态建模来解决许多相关的设计问题。一些研究人员研究了可压缩流体流经管道的问题,并开发了各种数值方案,其中包括特征方法,有限元方法以及显式和隐式有限差分法。选择部分取决于所研究系统的个别要求。在这项工作中,使用完全隐式有限差分方法来求解天然气管道系统内流动的连续性,动量,能量和状态方程。本文描述的特定求解方法在动量方程守恒中不忽略惯性项。它还考虑了压缩系数与温度和压力的关系,以及摩擦系数与雷诺数的关系。这些方程式的完全隐式方法表示具有保证大时间步长稳定性的优点,这对天然气行业非常有用。结果表明,以非等温方式处理气体的效果对于管道流量计算的准确性非常必要,特别是对于快速瞬态过程而言。结果表明,惯性项在气体流量分析中起着重要作用,在计算中不能忽略。

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