Civil Engineering MCQJE Level Civil Engineering

For a rectangular channel of width B carrying discharge Q per unit width q, the critical depth yc is:

Fluid MechanicsFluid MechanicsMEDIUM

Choose the correct answer

A

yc = (q/g)^(1/2)

B

yc = (q²/g)^(1/3)

C

yc = q/(g)^(1/3)

D

yc = g/q²

Correct Answer

B. yc = (q²/g)^(1/3)

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At critical flow Fr = 1, specific energy is minimum. For rectangular channel: yc = (q²/g)^(1/3) where q = Q/B. Critical velocity Vc = √(g·yc). Critical depth separates subcritical (y > yc, Fr < 1) from supercritical (y < yc, Fr > 1) flow.

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