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In a laboratory, a flow experiment is performed over a hydraulic structure. The measured values of discharge and velocity are 0.05 m^3/s and 0.25 m/s, respectively. If the full scale structure (30 times bigger) is subjected to a discharge of 270 m^3/s, then the time scale (model to full scale) value (up to two decimal places) is ______ (GATE-CIVIL-Engg-2018)
In a laboratory, a flow experiment is performed over a hydraulic structure. The measured
values of discharge and velocity are 0.05 m^3/s and 0.25 m/s, respectively. If the full scale
structure (30 times bigger) is subjected to a discharge of 270 m^3/s, then the time scale
(model to full scale) value (up to two decimal places) is ______
Given : Discharge, Qm 0.05m3 /s
Lr = 1/30
Velocity, Vm 0.25m/s
Full scale structure subjected to discharge Qp = 270 m 3 /s
Time scale (model to full scale), Tr ?
According to Froude law ,
(Fr )m (Fr )p
V/(Lg)1/2
Vr (Lr)1/2
Lr / Tr
Tr (Lr)1/2
(1/30)1/2
Time scale , Tr 1/(30)1/2 = 0.1826 .
Hence , time scale is 0.1826 .
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