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

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