The calculation of pipeline network comprising pressure reduction valve (PRV) with Q-equation

The calculation of pipeline networks with Q- equations involves the determination of flow rates of liquid flowing through pipes by solving the system of equations comprising the mass conservation equation and the energy conservation equations written along the loops and pseudo-loops. The paper presents an application that solves a network comprising a PRV (Pressure reduction valve). In case of mounting a PRV in the device it takes place a leap of energy and energy conservation equation along a loop is no longer valid. The literature recommends fitting a fictitious tank instead of the device and writing the energy conservation equation in the pseudo-loop.