Shock wave velocity in two-phase pressure flow

The article is devoted to the study of the propagation velocity of the rarefaction wave and the compression wave, taking into account the two-phase (water + air) flow in the long pressure pipelines of pumping stations. Hitting speed is the main parameter of water hammer. Water hammer poses a danger to the normal operation of the main equipment of stations, control and measuring equipment, control devices and pressure pipelines. When establishing the strength indicators of pressure pipelines, it is necessary to make an accurate calculation of the shock wave speed, taking into account the dosed amount of not dissolved air in the water. The classical theory of water hammer is based on the gamogenic model and does not take into account air in the liquid. This circumstance leads to a decrease in the accuracy of calculating the velocity of the shock wave and water hammer. The article presents the results of analytical studies of the shock wave velocity, taking into account the two-phase pressure flow. At the same time, an analytical method for calculating the velocity of the shock wave is proposed. The results of the proposed technique are in good agreement with the graphical solutions of this problem and with experimental data.