When a valve on a pipe is suddenly closed, a wave is created that results in the phenomenon known as water hammer. The pressure associated with a wave of this type can be substantial and may cause damage to the pipe. The maximum pressure developed, pmax, is known to be a function of the fluid density rho, the bulk modulus Ev , and the initial flow velocity V. Determine the number of Pi groups that can be formed from these four parameters. Use the repeating variable method to determine the functional form of each of the Pi groups associated with the water hammer wave described in above problem. Verify that each Pi group is dimensionless. Identify the names of each dimensionless Pi group, if any, and rewrite the relationship among Pi groups using the appropriate symbols for each standard group.