Analysis of the Waterhammer with Water Column Separation

Abstract

When the power supply to the pump is suddenly cut off, the pressure drop and rapid pressure rise are caused by a pressure surge. These phenomena are well known as a waterhammer. Some works on this subject have been published in recent years. In this paper, in the first place the quasi-linear system of hyperbolic partial differential equations is transformed into a problem of the characteristic equation and eigen values, next a new graphical method based on the characteristics is presented and the effect of hydraulic friction subsequent to the water column separation is discussed. As an illustration of the method, calculation examples of mathematical models of Isogo and Chita Pumping Plants associated with the cooling-water supply for thermal power stations are shown.