A fluid flow through an orifice of an area 0.4 m2 with an actual discharge of 400 l/s. If the theoretical velocity of flow through the orifice 2 m/s, what is the coefficient of discharge?
A fluid flow through an orifice of an area 0.4 m2 with an actual discharge of 400 l/s. If the theoretical velocity of flow through the orifice 2 m/s, what is the coefficient of discharge?
Right Answer is:
0.50
SOLUTION
The coefficient of discharge (Cd) is defined as:
Cd = Qactual/Qtheoretical
Qtheoretical = Area of orifice × velocity of flow
Velocity of flow Vth = 2 m/s
Area of orifice, a = 0.4 m2/s
Qtheoretical = 2 × 0.4 = 0.8m3/s
Actual discharge = 400 litre/sec = 400/1000 = 0.4 m3/sec
coefficient of discharge, CD = 0.4/0.8 = 0.5