Answer to Question #225841 in Chemical Engineering for Braim016

Question

The head on a spillway is 1.5m and the discharge is 100m3 /min. What is the head on the scale model of 1:80? Determine the model discharge. 

Answer 1

Head

$\frac{h_P}{h_m}=L_r\\ \frac{1.5}{h_m}=80\\ h_m= \frac{1.5}{80}\\ h_m= 0.01875 m$

Discharge

$\frac{Q_p}{Q_m}=(Lr)^{2.5}\\ \frac{100}{Q_m}=(80)^{2.5}\\ Q_m= \frac{100}{80^{2.5}}\\ Q_m= 1.747* 10^{-3}m ^3/mm$