Question: A cylindrical storage tank is connected to a nozzle by a short length of horizontal pipe as shown in the following diagram. At time equal to zero, the height of liquid in the tank is H ft above the axis of the discharge pipe. The liquid discharges through the nozzle into the atmosphere as the liquid level h(t) changes. A
a. Using a mass balance, show that the liquid level h(t) is related to the nozzle discharge velocity v2 by
dh = (D2)2 v2
dt (Dr)2
b. Using a mechanical energy balance on the discharge pipe and the results of part a, show that the nozzle discharge velocity 2 and the gage pressure at the pipe entrance (p1 - p2) are given as functions of time by
