A tank receives water through two inlets, and empties through a single outlet. The flow rates through the two inlets are 2.5 kg/s and 0.8 kg/s. The cross-sectional area of the outlet is 0.00015 m3. Considering the density of the water to be 1000 kg/m3, determine the exit velocity of the water if the tank is operating under steady-state, steady-flow conditions.
Given: Inlets: m?1 = 2.5 kg/s; m?2 = 0.8 kg/s;
Outlet: A3 = 0.00015 m3
p= 1000 kg/m3
What will be an ideal response?
For steady-state, steady-flow conditions, the mass in the tank is constant, so the mass flow out must equal the mass flow in:
m?3=m?1+m?2 = 3.3 kg/s
V3=m?3/?A3 = 0.887 m/s
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