Water flows in a rectangular finished concrete channel that is long enough that uniform flow conditions are established. The flow rate is Q-9.6 m³/s, while the channel has a bottom width b = 2.2 m, the Manning coefficient is n=0.012, and the bottom slope of the channel is So 0.00205. A block with a height such that h=0.34 m is placed on the bottom of the channel, the block height being sufficiently high enough that choked flow conditions occur above the block. a) Calculate the uniform and critical flow depths for the channel. b) Calculate the flow depths immediately upstream and downstream of the block, assuming that there are no losses across the block. e) State where the hydraulic jump that forms is located in the channel relative to the block (i.e. upstream or downstream), and calculate the missing depth immediately upstream or downstream of the hydraulic jump, as appropriate. d) Classify the water surface profiles upstream and downstream of the block. e) Calculate the distance upstream from the block to the point at which uniform flow conditions occur. using the standard step method and increments in the flow depth of 0.1 m. Provide a sample calculation for the first step for part e) of the problem, and then use the provided table to summarize your calculations for the remaining required steps.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Water flows in a rectangular finished concrete channel that is long enough that uniform flow conditions are established. The flow rate is Q-9.6 m³/s, while the channel has a bottom width b = 2.2 m, the Manning coefficient is n=0.012, and the bottom slope of the channel is So 0.00205. A block with a height such that h=0.34 m is placed on the bottom of the channel, the block height being sufficiently high enough that choked flow conditions occur above the block. a) Calculate the uniform and critical flow depths for the channel. b) Calculate the flow depths immediately upstream and downstream of the block, assuming that there are no losses across the block. e) State where the hydraulic jump that forms is located in the channel relative to the block (i.e. upstream or downstream), and calculate the missing depth immediately upstream or downstream of the hydraulic jump, as appropriate. d) Classify the water surface profiles upstream and downstream of the block. e) Calculate the distance upstream from the block to the point at which uniform flow conditions occur. using the standard step method and increments in the flow depth of 0.1 m. Provide a sample calculation for the first step for part e) of the problem, and then use the provided table to summarize your calculations for the remaining required steps.

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