Question #225841

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.

Expert's answer

Head

"\\frac{h_P}{h_m}=L_r\\\\\n\\frac{1.5}{h_m}=80\\\\\nh_m= \\frac{1.5}{80}\\\\\nh_m= 0.01875 m"

Discharge

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

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