MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Fluid Mechanics

Froude Model Law

In a 1 in 50 ...

Question

In a 1 in 50 model of a spillway, discharge is 3 $m^{3} / s e c .$ Find the corresponding discharge in the prototype in $m^{3} / s e c .$

A

1061

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

7500

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

53033

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

375000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 53033
In the case of a flow in spillway, Froude number will dominate
$\frac{V_{m}}{V_{p}} = \sqrt{L_{r}} \frac{Q_{m}}{Q_{p}} = L_{r}^{5 / 2} = {(\frac{1}{50})}^{5 / 2} \Rightarrow Q_{p} = 50^{5 / 2} (3) = 53033 m^{3} / s$

Suggest Corrections

thumbs-up

6

Similar questions

Q. In a 1/50 model of a spillway, the discharge was measured to be

0.3 m^{3} / s e c .

The corresponding prototype discharge in

m^{3} / s e c

Q. A 1 : 50 scale model of a spillway is to be tested in the laboratory. The discharge in the prototype is

1000 m^{3} / s

. The discharge to be maintained in the model test is

1

40

model of spillway, the velocity is

2

m / s e c

. The corresponding velocity (in m/sec) in prototype is _______.

Q. A river model is constructed to a horizontal scale of 1 : 1000 and a vertical scale of 1 : 100. A model discharge of 0.1

m^{3}

/s would correspond to a discharge in the prototype, of what magnitude?

Q. 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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Froude Model Law

FLUID MECHANICS

Watch in App

explore_more_icon

Explore more

Froude Model Law

Other Fluid Mechanics

Join BYJU'S Learning Program

CrossIcon