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Week10

# Week10 - An open channel has a trapezoidal cross-section...

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An open channel has a trapezoidal cross-section with a bottom width of 5 m and side slopes of 2:1 (H:V). If the depth of flow is 2 m and the average velocity in the channel is 1 m/s, calculate the discharge in the channel. A trapezoidal channel is to be excavated at a site where permit restrictions require that the channel have a bottom width of 5 m, side slopes of 1.5:1 (H:V) and a depth of flow of 1.8 m. If the soil material erodes when the shear stress on the perimeter of the channel exceeds 3.5 N/m 2 , determine the appropriate slope and flow capacity of the channel. Use the Darcy- Weisbach equation and assume that the excavated channel has an equivalent sand roughness of 3 mm.

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Water flows at a depth of 2.20 m in a trapezoidal, concrete-lined section ( k s = 2 mm) with a bottom width of 3.6 m and side slopes of 2:1 (H:V). The slope of the channel is 0.0006 and the water temperature is 20 C. Assuming uniform-flow conditions, estimate the average velocity and flowrate in the channel. Use both the Darcy-Weisbach and Manning equations and compare your answers.

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A trapezoidal irrigation channel is to be excavated to supply water to a farm. The design

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Week10 - An open channel has a trapezoidal cross-section...

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