Question

A spillway of an irrigation project is to be studied by means of a model constructed to a scale of 1 : 9. The prototype discharge is 1000 $m^3/s.$ Neglecting the viscous and surface tension effects, the required flow rate for the model is

• A. 12.35 $m^3/s$
• B. 111.11 $m^3/s$
• C. 4.11 $m^3/s$
• D. 1.37 $m^3/s$

Answer 1

The correct option is C 4.11 $m^3/s$

$Dischargeratio,Q_r=L_f^{2.5}$

$Prototypedischarge=1000m^3/s$

$Modeldischarge=\frac{1000}{(9{)}^{2.5}}=4.11m^3/s$