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Estimate the discharge of water in a trapezoidal channel section having a depth 3m, width of 6m, side slope of 1H:2V and velocity of water is 2m⁄s.

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+1 vote
in Fluid Mechanics by (118k points)
Estimate the discharge of water in a trapezoidal channel section having a depth 3m, width of 6m, side slope of 1H:2V and velocity of water is 2m⁄s.

(a) 40m3⁄s

(b) 45m3⁄s

(c) 50m3⁄s

(d) 55m3⁄s

I got this question during an internship interview.

My question is based upon Geometrical Properties of Trapezoidal Section topic in portion Flow in Open Channels of Fluid Mechanics

1 Answer

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Best answer
The correct option is (b) 45m3⁄s

The explanation is: Discharge (Q) = AV

A = (B+Zy)y

A = (6+1/2 (3))(3)= 22.5m^2

Q = (22.5)(2)

Q = 45m3⁄s.

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