Closing a value suddenly in a pipe with flowing water can generate water hammer, where the momentum of the water column is compressed into a shock wave that reflects off the values and travels back through of the piping system. Water hammer can result in catastrophic failure of values, manifolds, and pipes. Using dimensionless analysis, determine the functional realtionship between the maximum pressure, Pmax; generated by water hammer and the liquid density, ρ, intitial average velocity U, and the bulk modulus od the liquid, Ev.