Question

The discharge through a V-notch varies

• A. Proportional to head (H)
• B. $\text{Inversely proportional to angle}\theta$
• C. $\text{Proportional to}{H}^{\frac{5}{2}}$
• D. $\text{Inversely proportional to}\tan \frac{\theta }{2}$

Answer 1

The correct option is C $\text{Proportional to}{H}^{\frac{5}{2}}$

Discharge through triangular Notch/V-Notch:

$Q_{\text{actual}}=\frac{8}{15}{C}_d\sqrt{2g}\tan \left(\frac{\theta }{2}\right)H^{\frac{5}{2}}$