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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

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B

7500

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C

53033

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D

375000

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Solution

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

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