This document summarizes the modeling of transient fluid flow in simple pipeline systems. It developed a program to study hydraulic shock (water hammer) in a simple pipe system. The program analyzes a number of hydraulic shocks and fluid pressure movement under different valve closing speeds and times. Simulation results are presented in tables and diagrams. The document concludes that computer programs are useful for simulating steady and unsteady fluid flow to calculate impacts of transient phenomena and protect piping systems.