CIV E 530 - OPEN-CHANNEL HYDRAULICS SPRING 2008 - MIDTERM 2 - SOLUTION

PROBLEM 1

b = 5 m

S_o = 0.003

n = 0.015

y = 1.5 m

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Flow area A = b × y = 5 × 1.5 = 7.5 m²

Hydraulic radius: R = A/P = 7.5 /(5 + 1.5 + 1.5) = 0.9375 m

Flow velocity v = (1/n) R^2/3S^1/2 = (1/0.015) (0.9375)^2/3(0.003)^1/2 = 3.498 m/s

Discharge Q = v A = 3.498 × 7.5 = 26.23 m³/s

Problem 2

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