In a rectangular channel with Q=2 m^3/s and width B=2 m, depth y, the Fr number is defined as Fr = V/√(g y) with V = Q/A and A=By. Which expression correctly gives Fr in terms of y?

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Multiple Choice

In a rectangular channel with Q=2 m^3/s and width B=2 m, depth y, the Fr number is defined as Fr = V/√(g y) with V = Q/A and A=By. Which expression correctly gives Fr in terms of y?

Froude number compares flow inertia to the speed of gravity waves in open-channel flow. In a rectangular channel, the cross-sectional area is A = B y, so the average velocity is V = Q/A = Q/(B y). The wave speed is √(g y). Plugging into Fr = V / √(g y) gives Fr = [Q/(B y)] / √(g y) = Q / [B y √(g y)]. This form is dimensionally consistent and shows how depth y influences Fr through the √y term in the denominator. The other expressions omit the square root or the extra y factor, or would not reflect the dependence on Q and B properly. So Fr = Q / (B y √(g y)).

In a rectangular channel with Q=2 m^3/s and width B=2 m, depth y, the Fr number is defined as Fr = V/√(g y) with V = Q/A and A=By. Which expression correctly gives Fr in terms of y?

Prepare for the Intermediate Hydraulics Test with our comprehensive study resources. Explore quizzes featuring multiple-choice questions, in-depth explanations, and hints. Ace your exam with confidence!

In a rectangular channel with Q=2 m^3/s and width B=2 m, depth y, the Fr number is defined as Fr = V/√(g y) with V = Q/A and A=By. Which expression correctly gives Fr in terms of y?

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