Problem- A spillway discharges flood flow at a rate of 9 m³/s per metre width. If the depth of flow on the horizontal apron at the toe of the spillway is 46 cm, find the tail water depth needed to form a hydraulic jump.
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- A spillway discharges flood flow at a rate of 9m³/s per meter width. If the depth of flow on the horizontal apron at the toe of the spillway is 46 cm, the tail water depth needed to form a hydraulic jump is approximately given by which of the following options ?A hydraulic jump is formed in a 5.0 meter wide rectangular outlet downstream of a control (sluice) gate. If the flow depth upstream of the gate is 9.0 meters and the discharge is 150 m^3/s, find (1) the flow depth just downstream of the gate, (2) flow depth downstream of the jump, (3) the head losses of the jump.V. Problem Solving 1. A rectangular channel, 20ft wide, carries 400 cfs and discharges onto a 20 ft wide apron with no slope with a mean velocity of 20 fps. What is the height of the hydraulic jump? What energy is lost in the jump? 2. At a certain section of a rectangular channel 10 ft wide, the depth of flow is 2 ft and the flow rate is 400 ft/s. If a hydraulic jump occurs, will it be upstream or downstream of this section? Prove answer using calculation. 3. Water flows over a spillway into a sluice 10 m wide. Before the jump the water has a depth of 1 m and a velocity of 18 m/s. Determine the Froude number before the jump and the depth of flow after the jump. 4. A rectangular channel, 16 ft wide, carries a flow of 192 cfs. The depth of water on the downstream side of a hydraulic jump is 4.20 ft. What is the upstream depth? What is the loss of head?
- A rectangular channel has a width of 1.8 m and is carrying a discharge of 2 m³/sec. If the depth of flow on the upstream side of the channel is 0.4 m, detemine if the hydraulic jump take place or not and if it will, determine the height of hydraulic jump.A concrete-lined channel must be designed to convey a discharge of 500 m3/s. The bedslope of the channel must be 11 degrees due to the topography of the area. For the given discharge, design a trapezoidal channel with the best hydraulic section.(c) (i) Flow over an ogee spillway creates oscillating hydraulic jump at its toe. Height of water level from toe of dam to crest of spillway is 32.80 ft. If the flow is 25,000 L/s, determine excess water over 4 m width of spillway crest. Tai
- 1) The supercritical flow at the toe of a spillway has a depth of 1.12 ft. and velocity of 60 ft./s. a) Calculate the requirement tailwater depths and the required lengths of type III and type II stilling basin and compare with those for free jump without blocks or bottom roughness. b) If a stilling basin without blocks is constructed of grouted rock riprap with a roughness height of 0.25 ft., what would be the sequent depth and length of a hydraulic jump in the basin?For the following spillway of Hd = 10 m , P = 25 m , L = 120 m g = 9.81 m/s2 , calculate the design flowrate Q = 5500- 7400 m3/s Q = 8000- 8400 m3/s Q = 3100- 3400 m3/s Q = 6000- 6400 m3/sA rectangular channel flowingnormally full at a depth 1.40 m has base of width 2 m.The flow rate is 3.6 m3/s. It is to be replaced by anefficient rectangular section with the same material andadhering to the same slope. (a) What is the increase inits capacity? (b) If instead the most efficient trapezoidalsection were used, what would be the increase in theflow rate? (c) What percent increase could have beenexpected if the most efficient of all efficient sectionswere used?
- A multi-barrel culvert is to transport a flow of 10 cfs underneath a roadway. The allowable head on the upstream (inlet) side of the culvert is 2 ft above the tops of the culvert pipes. How many 12 in diameter pipes will be required? (Assume Orifice flow, with a minor loss entrance coefficient = 0.2)A spillway 45 m long having discharge coefficient 1.8 permits a maximum discharge of 90 m³/s from a storage reservoir. It is proposed to replace the spillway by a siphon spillway of section 0.75 mx 1.5 m with operating head 8 m and discharge coefficient 0.64. Find the number of siphons required and the amount of extra water sored, if the siphons have a priming depth of 0.15 m; the average surface area of the reservoir being 5 x 105 m².Water in a 6-m-wide rectangular channel flows at a rate of 4 m³/s at a depth of 0.6 m. (a) What is the velocity (m/s) of flow upstream of the hump? (b) Is the flow (0.6 m-depth) super-critical or sub-critical? Compute the Froude number. (c) What is the critical depth, Yc (m)? (d) What should be the height, YH (m), of the hump to be installed if we want critical depth to occur? Yc 0.6 m HUMP Profile of channel YH