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The flow in a channel is at critical depth. If at a section M a small hump of height Δz is built on a bed of the channel, the flow will be:
  • a)
    Critical upstream of M
  • b)
    Critical at M
  • c)
    Subcritical at M
  • d)
    Super critical at M
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The flow in a channel is at critical depth. If at a section M a small ...
$h$ is introduced, the flow will still remain at critical depth. However, the water surface profile will change due to the presence of the hump.

At critical depth, the flow velocity is equal to the wave velocity, which is given by the formula:

V = sqrt(g * h_c)

where V is the flow velocity, g is the acceleration due to gravity, and h_c is the critical depth.

When the hump is introduced at section M, the water surface profile will change and the flow will adjust to the new conditions. The flow velocity will still remain equal to the wave velocity, but the depth of the flow will vary along the channel.

Upstream of the hump, the water depth will increase and reach a maximum at the highest point of the hump. Downstream of the hump, the water depth will decrease until it reaches the original critical depth again.

The flow remains at critical depth throughout the channel, but the water surface profile is altered due to the presence of the hump.
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The flow in a channel is at critical depth. If at a section M a small hump of height Δz is built on a bed of the channel, the flow will be:a)Critical upstream of Mb)Critical at Mc)Subcritical at Md)Super critical at MCorrect answer is option 'B'. Can you explain this answer?
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