Simulation of non-isothermal transient gas flow in a pipeline
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The transient flow of gas in pipes can be adequatly described by a one-dimensional approach. Basic equations describing the transient flow of gas in pipes are derived from the equation of motion (or momentum), continuity equation, energy equation and the state equation. In much of the literature, either an isothermal or an adiabatic approach to the description of thermodynamics of pipeline gas flow is adopted. However, for many dynamic gas applications this assumption of a process having a constant temperature or being adiabatic is not valid. In this case, the temperature of the gas is a function of distance and is calculated using a mathematical model, which includes the energy equation. In the paper, the problem of transient simulation of gas pipeline is solved using the method of lines. Non-isothermal pipeline gas flow model is presented and a description of an efficient numerical method for integration of the DAE system is given.
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