A tank 1.2 m2 and 3.6m high receives water at a rate of 20 dm3/s. The water flows from the tank through a 65mm diameter orifice having Cd = 0.79. Find the height of water above the orifice to maintain the flow.
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given = rate of water = 20dm³/s
diameter = 65mm = 65 X 10⁻³
Cd = 0.79
to find = height of water above the orifice to maintain the flow ? (h)
solution =
area of orifice A = πr² = πd²/ 4 = 3.14 X (65 X 10⁻⁶) / 4
= 3.316.625 X 10⁻⁶
now, for flow .
rate of water into water tank = rate of water discharged through orifice
20 X 10⁻³ = Cd .A √2gh
20 X 10⁻³= 0.79 X 3316.625 X 10⁻⁶ X
2 X 9.8 X h = 58.21
h = 9.8 X 2 / 58.21
h = 2.97m
so the height of water above the orifice to maintain flow is 2.97 m
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