Can you solve this fascinating hydraulic engineering dilemma? Find the dimensions of the channel cross-section that will allow a discharge of 12.774 m³/s. The side slopes are 2:1, n = 0.025, and the longitudinal bed slope is 12 cm/km. Is the channel section hydraulically stable against scouring?

Question

Can you solve this fascinating hydraulic engineering dilemma?     Find the dimensions of the channel cross-section that will allow a discharge of 12.774 m³/s. The side slopes are 2:1, n = 0.025, and the longitudinal bed slope is 12 cm/km. Is the channel section hydraulically stable against scouring?

Diego · Answer

Solution:              a) To find the dimensions of the channel cross-section to pass a discharge of 12.774 m³/s, we use the Manning's equation for open channel flow. The minimum cross-sectional area can be determined by calculating the hydraulic radius and solving for the dimensions.         b) The critical shear stress of the channel bed material is evaluated to check hydraulic stability against scouring. The channel cross-section is found to be stable.

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