Show liquid level is related to nozzle discharge velocity

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Reference no: EM131514854

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 v₂dt (D_r)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

Reference no: EM131514854

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