GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Question : 54 of 65

Marks: +1, -0

A hydraulic jump occurs in a triangular (V-shaped) channel with side slopes

1: 1

(vertical to horizontal). The sequent depths are

0.5 {m}

and

1.5 {m}

. The flow rate (in

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

, round off to two decimal places) in the channel is________.

Solution:

In case of V shaped channel, flow rate can be given as
Flow rate

= {Q}= {y}_{1} {y}_{2} √{\;{ {g}}/{3}(\;{ {y}_{2}^{3}- {y}_{1}^{3}}/{ {y}_{2}^{2}- {y}_{1}^{2}})}

⇒ {Q}=0.5 × 1.5 √{\;{9.81}/{3}(\;{1.5^{3}-0.5^{3}}/{1.5^{2}-0.5^{2}})}

{Q}=1.728 {m}^{3} {/} {sec}

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