One of the objectives of this study was to reduce the undesirable dyna
mic pressure oscillation that occurs in a simple pipeline due to valve
closure and to prevent the occurrence of column separation. This is a
ccomplished by maximizing the minimum pressure in the pipeline. The se
cond objective was to minimize the maximum dynamic pressure, and the t
hird objective was to estimate the best (minimum) time of closure, T(C
) that results in a pipe stress equal to the maximum allowable stress
. The method of characteristics with the time-line interpolation techn
ique was used to solve the transient stresses and pressures in a liqui
d-filled piping system. Frequency-dependent friction was used in the e
quation of motion for the fluid and the pipe wall. A nonlinear optimiz
ation technique was utilized to generate the optimum valve closure pol
icy. Maximum and minimum pressure heads resulting from a uniform valve
closure. Plots of pressure variation at the valve for these two valve
closure policies were also generated. Examples are presented to demon
strate the advantage of the optimum valve closure policy over the unif
orm valve closure policy. The reduction in the maximum dynamic pressur
e and stress at the valve for different T(c) is also presented.