GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 34 of 65

Marks: +1, -0

1: 50

model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is

1000 {nn}^{3} {/} {s} .

The corresponding discharge (in

{m}^{3} {/} {s}

up to two decimal places) to be maintained in the model, neglecting variation in acceleration due to gravity, is___________.

Solution:

Froude law is valid

Q_{r}=L_{r}^{2.5}

\;{Q_{m}}/{Q_{p}}=(\;{1}/{50})^{2.5}

\;{Q_{m}}/{1000}=(\;{1}/{50})^{2.5}

Q_{m}=0.0566 {m}^{3} {/} {s}

So,

\;\; Q_{m} ∼eq 0^{3} {/} {s}

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