Mathematical modelling of pipelines, including equipment, levelling sharp changes in fluid pressure

Abstract

Abstract The article deals with the issues related to the modelling of unsteady fluid flow in short and long pipelines, including various equipment: pumping stations (equipped with cen-trifugal or piston pumps), valves of different operating principle, pressure stabilizers, etc. Pres-sure stabilizers (especially in short pipelines) are able to protect the pipeline from sudden pres-sure surges. This is important not only in terms of the strength of the pipeline system, but also in short pipeline circuits for a uniform flow of liquid fuel supply. As a mathematical tool for numerical solution of differential equations of quasi-hyperbolic type, the method of character-istics is applied, which allows to consider the problems that develop over time. The program is written in C++ with graphical interpretation in Maple.