Question

A fluid jet discharges from 100 mm diameter nozzle and vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge of the nozzle is:

• A. 0.77
• B. 0.81
• C. 0.90
• D. 0.86

Hint:

The coefficient of discharge accounts for the reduction in velocity and area at the vena contracta, which is an important factor in fluid jet analysis.

Answer 1

The Correct Option is A

The coefficient of discharge \( C_d \) can be related to the coefficient of velocity \( C_v \) and the area ratio using the following formula: \[ C_d = C_v \times \frac{A_{\text{jet}}}{A_{\text{nozzle}}} \] Given that the nozzle diameter is 100 mm and the vena contracta diameter is 90 mm, we can calculate the area ratio and substitute the value of \( C_v = 0.95 \) to find \( C_d = 0.77 \).