Water enters a tank of diameter DT steadily at a mass flow rate of  An orifice at the bott...

Water enters a tank of diameter DT steadily at a mass flow rate of  An orifice at the bottom with diameter D0

FIGURE P12-34

allows water to escape. The orifice has a rounded entrance, so the frictional losses are negligible. If the tank is initially empty, (a) determine the maximum height that the water will reach in the tank and (b) obtain a relation for water height zas a function of time.