Minimization of Stresses and Pressure Surges

The control of stresses and liquid pressure surges in pipes is an important problem in the design of hydraulic pipe networks. The method of characteristics has been used to solve the transient stresses and pressures ln liquid-filled piping systems. The maximum pressure and maximum stress at any point along the length of the pipe are evaluated for the entire stimulation time. The optimal valve closure is sought, that will minimize the maximum pressure and/or stresses. Numerical examples are presented showing the reduction of the dynamic stress and the dynamic pressure from linear value closure to optimal valve closure