Question

1. Calculate the discharge Q (L/s) for the following open channel if the flume width (b) is 152.4 mm, yl = 37.44 mm, y2 = 15 mm, y3 = 13 mm, and slope = 0. y, |Y2 fy, Discharge under a sluice gate.

Answer 1

y, 1m = 1000 mm ov, 1 mm = 10 m . 107 Given, flume width (b) = 152.4 mm or 0.152 4 m upstream depth (y) = 37.44 mm or 0.03744 m depth at vena - contracta (42) = 15 mm or 0.015 m downstream depth ( 43) = 13 mm 0.013 m Now, * Method - 1 Based on conservation of specific energy- 1/2 a= by G 29 Y + Y3 2 x 9.81 Q = 0.1524 x 0.03744 x 0.013 0.03744 + 0.013 (open) 3 1/2 3 Q = 1.4629 X 10^°m2 sec Q = 1.462 L/sec Or, *{1m 1 m3 = 1000 Ltrs.}

& Method 2 Formula based on the gate opening Y da b6d Z₂ (294, )/2 Q = 0,1524 x0.61 X 0.015 (2x9,81X0. 13/sec. 1.195 L/sec where, Cd = Coefficient of discharge [[generally C4 = 0161 X0.0 3744 Q = 1.195 1x1o or, we can calculate Cd from below equation / formular Cc Cd = 1+ Cc Y21² 43) where, C = coefficient of contraction CE Y Y
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