Question

Water flows through this orifice meter by gravity. The orifice diameter is 50 cm and water height difference is 10 m. If the contraction coefficient is 0.62 and velocity coefficient is 0.90, the flow rate through the orifice is most nearly:

Answer 1

Q ≅ 1.53 m³/s

Step-by-step explanation:

From the given information:

The flow rate of the orifice is:

`v = c_v √(2gh)`

`v = 0.90 * √(2*9.81 * 10)`

where;

`Q = c_d * √(2gh) * A`; &

`c_d = c_c * c_v`

∴

`Q = c_c * c_v √(2gh) * (\pi)/(4)* d^2`

`Q = 0.90 * 0.62 √(2*9.81*10) * (\pi)/(4)* 0.5^2`

`Q = 0.558 * 14.00714104 * 0.1963495408`

Q ≅ 1.53 m³/s