Problem 2. A 25-foot wide rectangular channel with Manning’s n of 0.025 is carrying 5000 cfs....

Problem 2. A 25-foot wide rectangular channel with Manning’s n of 0.025 is carrying 5000 cfs. The slope of the channel is 0.05% (0.0005 ft/ft). At a specific point, the slope changes abruptly to 5%. Using the direct step method, calculate the profile upstream of the break in slope, extending upstream to a point where the depth is within 5 percent of normal depth. (That means the final depth in your direct step method is between 0.95 and 1.05 times normal depth.) Classify the flow profile (M-1, S-1, etc.).

Please write step by step solution

Solutions

Expert Solution

Ally Wells answered 1 month ago

Next > < Previous

Related Solutions

The discharge through a rectangular channel 4.4 m wide is 16 m3/s. The Manning’s coefficient n...

The discharge through a rectangular channel 4.4 m wide is 16 m3/s. The Manning’s coefficient n is 0.03. Determine the normal depth when the slope is 0.008. Check whether the flow is sub or supercritical. If the normal depth is to be kept at 2 m, determine the slope.

A trapezoidal channel that has a 15 foot bottom width, Manning’s roughness coefficient of 0.033, bed...

A trapezoidal channel that has a 15 foot bottom width, Manning’s roughness coefficient of 0.033, bed slope of 0.0021 ft/ft, symmetrical side slopes of 4H:1V (s = 4), and conveys 250 cfs. It is dammed up to a depth of 4 feet. How far back upstream will it take for the M1 curve to reach normal depth? a. 1,430 ft. b. 1,894 ft. c. 2,302 ft. d. 2,934 ft. e. 3,486 ft.

Hydraulic engineering: A trapezoidal channel that has a 15 foot bottom width, Manning’s roughness coefficient of...

Hydraulic engineering: A trapezoidal channel that has a 15 foot bottom width, Manning’s roughness coefficient of 0.033, bed slope of 0.0021 ft/ft, symmetrical side slopes of 4H:1V (s = 4), and conveys 250 cfs. It is dammed up to a depth of 4 feet. How far back upstream will it take for the M1 curve to reach normal depth? a. 1,430 ft. b. 1,894 ft. c. 2,302 ft. d. 2,934 ft. e. 3,486 ft.

A 50 m3/s is conveyed down a 5-m wide rectangular channel (n = 0.012) with a...

A 50 m3/s is conveyed down a 5-m wide rectangular channel (n = 0.012) with a slope of 0.02 m/m. The channel transitions into a second channel with a slope of 0.0008 m/m. A hydraulic jump occurs on the downstream channel. What is the downstream depth of the second channel after the jump? What is the depth of the water before the jump? What is the energy loss due to the jump? How long is the total distance of the...

A rectangular channel 2 m wide has a bottom slope of 0.01 and a roughness coefficient...

A rectangular channel 2 m wide has a bottom slope of 0.01 and a roughness coefficient of 0.017. A sluice gate 2 m wide is located in the channel. The sluice gate has a contraction coefficient of 0.61 and a discharge coefficient of 0.58. The depth of water just upstream from the gate is 2 m. The depth of water just downstream from the gate is 0.5 m. Determine how far upstream from the gate the depth of water will...

A trapezoidal channel carrying 280 cfs has a bottom width of 12 ft, side slope of...

A trapezoidal channel carrying 280 cfs has a bottom width of 12 ft, side slope of 2 and a longitudinal bottom slope of 0.001. The critical depth is 2.25 ft and the normal depth is 2.78. The flow depth at the downstream end of this channel is 3.12 ft. Determine which of the statements below is correct. Select one: a. The flow depth decreases in the flow direction. b. None of the above. c. A flow depth of 2.55 ft...

A trapezoidal channel having bottom width 6m ,side slopes 2 horizontal to 1 vertical ,Manning’s n=...

A trapezoidal channel having bottom width 6m ,side slopes 2 horizontal to 1 vertical ,Manning’s n= 0.025 and bottom slope 0.016 ,carries a discharge of 10 m3/sec . Compute the back water profile created by the dam which backs up the water to a depth of (3) immediately behind the dam. [ 5 Marks ] ( THIS SHOULD BE DONE USING EXCEL SHEET )

An asphalt rectangular channel is 7m wide and has a slope of 1° . The water...

An asphalt rectangular channel is 7m wide and has a slope of 1° . The water is 1.5m deep. Find the discharge rate for uniform flow. What is the radius of an asphalt cylindrical channel, which is half-full, to give a similar discharge rate?

A grouted riprap, trapezodial channel (n = 0.025) with a bottom width of 4 meters and...

A grouted riprap, trapezodial channel (n = 0.025) with a bottom width of 4 meters and side slope of m= 1 carries a discharge of 12m3/s on a 0.001 slope. Compute the backwater curve created by a low dam that backs water up to a depth of 2m immediately behind the dam specifically, water depths are required at a critical diversion points that are located at a distance of 188m,423m,748m,1675m, upstream of the dam ( Take normal depth Yn and...

A rectangular channel 6m wide by 1m deep is lain on slope of 0.001 and has...

A rectangular channel 6m wide by 1m deep is lain on slope of 0.001 and has roughness coefficient of n = 0.013. What is the mean velocity of flow (m/s) when the canal is full? What is the maximum capacity of the channel in m3/s? If the most efficient rectangular section is used, what depth of canal is required for the same discharge, slope, and roughness coefficient?

Subjects