Search for question
Question

EACH QUESTION IS WORTH 12.5 POINTS. QUESTION 6.3.7 IS A BONUS QUESTION FOR 10 POINTS. 6.1.1. Using the time and space criteria, classify the following open channel flow scenarios (steady or unsteady and uniform or varied): a. Constant flow in a long, prismatic channel with a mild slope. b. Flow in the transition of the channel in part (a) to a channel with a steep slope. c. Flow on a sloped parking lot during a uniform-intensity rainfall event. d. Flow on a sloped parking lot during a rainfall event that decreases in intensity over time. e. Flow in a prismatic channel from a rapidly opening sluice gate. f. Flow during the dry season in an urban (natural) stream. 6.2.1. A concrete channel with an unusual cross section carries water at a flow rate of Q=30 m3/s. Determine the channel's slope. Use table 6.2 to find manning coefficient 4.0 m 1.6 m 3.6 m 2.0 m 6.2.4. A 3-m-wide rectangular irrigation channel carries a discharge of Q= 50 m3/s. The channel has a slope of 0.041 and a Manning's coefficient is n=0.022. Determine the normal depth using successive substitution. 6.2.8. Uniform flow occurs in a 20-ft-wide rectangular channel with a discharge of 2,520 cfs. If the normal depth of the flow is 15 ft, what will be the new normal depth when the width of the channel expands to 30 ft? Assume that the slope and channel roughness remain constant in both channels. 6.2.9. Determine the diameter of a corrugated-metal, storm water pipe that is designed to carry a flow rate of 5.83 m3/s while flowing half full. The slope of the pipe is 0.02 m/m and uniform depth is assumed. Also, determine the pipe size required to carry the same flow rate if the pipe is to flow full. HINT: A = (1/8)(20 - sin 20)do2; and P = 0do 6.2.10. Design a trapezoidal channel and a rectangular channel to convey 100 cfs on a slope of 0.002. Both channels are lined with concrete. Specify width, depth, and side slopes. In both cases, try to obtain channels where the depth is about 60% of the bottom width. 6.3.2. Design the best hydraulic (rectangular) section for a metal channel to carry a flow rate of 31.2 cfs on a slope of 0.04. 6.3.3. An open channel (n=0.011) is to be designed to carry 7.14 m3/s on a slope of 0.0063. Find the diameter of the best hydraulic section (semicircle). HINT: A = (1/8)(20 - sin 20)do2; and P = 0do 6.3.7. Determine the side slopes of the best hydraulic (triangular) section.