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Question

Water flows in a rectangular concrete channel and undergoes a hydraulic jump such that half of its mechanical energy gets dissipated. If the channel carries 10cumecs water energy at a depth of 0.6 m and the width of channel is 5 m, the Froude number after the jump is.
  1. 0.2

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Solution

The correct option is A 0.2
Given: B=5 m, Q=10cumecs,
y1=0.6m

E1=y1+Q22gB2y21

=0.6+(10)22×9.81×25(0.6)2=1.166m

EL=0.5E1

(y2y1)34y1y2=0.5×1.166

(y20.6)34×0.6y2=0.583

y320.2161.8y32+1.08y2=1.4y2

y321.8y220.32y20.216=0

y2=2m,0.106m,0.106m

y2=2m

F2=Vgy2=105×29.81×2=0.225

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