For the tank shown in Fig 624 calculate the volume flow rate

For the tank shown in Fig. 6.24, calculate the volume flow rate of water from the nozzle. The tank is sealed with a pressure of 138 kPa above the water. The depth h is 2.5 m.

Solution

Bernaulli\'s eqn for the flow is given by,

P1 + rho*g*h = P2 + 1/2 *rho*V2^2

Solve for \"V\",

V2^2 = 2[(P1 - P2) + rho*g*h]

V2^2 = 2[138 - 1 + (998 * 9.8 * 2.5)]

V2 = sqrt 2[138 - 1 + (998 * 9.8 * 2.5)] = 221.75 m/s

The flow rate is given by,

Q = rho * A2 * V2 = 998 * 3.14 * 0.075^2 * 221.75 = 3908.82 m^3 / s