Prolegomena to the Simulation of Choked Flow in Gas Pipe Networks
Odd Andreas Asbjornsen · ACS symposium series · 1980
The distribution system for pure gases and liquids is a classical example of a network system described by large and weakly non-linear systems of algebraic equations. The network comprises pipes, fittings and valves, pumps and compressors, turbines etc., and is subject to boundary conditions at the terminal inlet and outlet points. At these points, the pressure or flow or both are specified. In the steady state simulation and design, the state variables are the flowrates and the pressure drops or terminal pressures for each branch of the net. Each of the branches between two nodepoints are described by a mathematical model of the hydrodynamics relating the pressure drop to the fluid flow between the nodes. The material balance sums up the flow into and out of a node no i: and the momentum balance in a loop no k composed of a number of nodes and line segments gives: Several