In the model test of a spillway the discharge and velocity of flowover the model were 2 m/s and 1.5 m/s, respectively. Calculate thevelocity and discharge over the prototype which is 36 times themodel size.Note:Use Froud Model Law to solve the question.Velocity Ratio: V =-= JT,%3DV. LT, LN, - = JL,T LV L,Time Ratio: Tr=P3=V,/T, Vra V IT TrAcceleration Ratio: a,Discharge Ratio: Q,AVForce Ratio: Fr=m,a, = p_Q}, = pFT =pEF =p1L = pL,Power Ratio: Pr=Fr. Vr=p LV V = p_LV? =pI(L) =p,L

given data Vm=1.5m/s Qm=2m3/s LpLm=36 Lr=136

In the model test of a spillway the discharge and velocity of flow over the model were 2 m/s and 1.5 m/s, respectively. Calculate the velocity and discharge over the prototype which is 36 times the model size.

In the model test of a spillway the discharge and velocity of flow over the model were 2 m/s and 1.5 m/s, respectively. Calculate the velocity and discharge over the prototype which is 36 times the model size.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

In the model test of a spillway the discharge and velocity of flow
over the model were 2 m/s and 1.5 m/s, respectively. Calculate the
velocity and discharge over the prototype which is 36 times the
model size.
Note:Use Froud Model Law to solve the question.
Velocity Ratio: V =
-= JT,
%3D
V. L
T, LN, - = JL,
T LV L,
Time Ratio: Tr=P3=
V,/T, Vr
a V IT Tr
Acceleration Ratio: a,
Discharge Ratio: Q,
AV
Force Ratio: Fr=m,a, = p_Q}, = pFT =pEF =p1L = pL,
Power Ratio: Pr=Fr. Vr=p LV V = p_LV? =pI(L) =p,L

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