Water flows with a velocity of 3m/s, and a depth of 3 m in a rectangular channel of 2 m. Then there is an upward step of 30 cm as shown below. Compute the depth of flow over the step.
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- 4. A reservoir supplies water to a horizontal 6′′ pipe 800 ft long. The pipe flows full and discharges into the atmosphere at the rate of 2.23 cfs. What is the pressure in psi midway in the pipe, assuming the only lost head is 6.20 ft in each 100 ft of length? indicaye free body diagramGiven:(2 decimal places) h = 1.4 H = 1.1 m K = 4.87 x 10-2 cm/sec θ = 14° L = 36 m a.)Find the hydraulic gradient. b.)Compute the cross-sectional area of the figure in m2. c.)Solve the rate of flow in m3/hr.Given: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 The soil porosity in the area where the 46-cm diameter well is 48%, find the discharge of the groundwater.
- Flow from a concrete channel (n = 0.017) falls freely into a reservoir at a rate of 7.8 m3/s. The width and longitudinal slope of the channel are 5 m and 0.0006, respectively. At the inlet of the reservoir, the flow becomes critical. Analyse the type of profile and plot the water surface profile using numerical integration and the direct step method with 4 steps.A sluice gate, as shown in figure 01, is used to control the upstream water level in a3 m wide rectangular channeL The water discharge in the channel is 15 m3/s. You given the water depth at 3 to be 2.5 m and the hydraulic jump Froude number equation(Question: 4: A well with a storage coefficient of 0.05 m/s has a slope define by rise = 3 and run = 4. Find the velocity of flow using Darcy’s equation.)The soil porosity in the area where the 46-cm diameter well in Question#4 is 48%, find the discharge of the groundwater.
- Figure shows a vertical cross section through a typical concrete gravity dam with a cutoff trench.You are asked to determine the flow of water under the dam and to calculate uplift pressure at thebottom of the dam. The solution to both problems will require that you construct a flow net tosimulate flow beneath this dam.1. Construct a flow net on Figure 1 showing groundwater flow under the dam. 2. The dam in Figure 1 is 100 m long (along the axis), and the abutments are in solid bedrock.Aquifer tests have shown the alluvium has a hydraulic conductivity of 4 x 10-5 m/s. The reservoirdepth is maintained constantly at 12 m, with a tailwater pool 2 m deep.How much water is lost under the dam (Q)? 3. Gravity dams depend on their mass for stability. Gravity dams can fail by sliding or by tippingover, that is, by rotation about the toe if lateral pressures on the upstream face become excessive. Theprobability of either type of failure is increased by uplift pressures on the bottom of the…Water flows in a wide channel at Fr=4.5 and y1 = 2.40 m. If the flow undergoes a hydraulic jump, calculate: y2Determine the head loss in the "smooth" pipe in meters if its friction factor is 0.014. a.12.9517 b.39.5136 c.30.4889 d.99.9358 What gage pressure p1 in kPa, is needed to provide the given flow rate? a.1692 kPa b.1121 kPa c.1328 kPa d.1725 kPa
- 11. A channel runs almost parallel to a river as shown in the figure. The water level in the river has an elevation of 36 m. and the elevation of the channel is 33 m. The river and channel are 600 m apart and a previous formation of the average thickness of 9 m and hydraulic conductivity of 0.80 m/hr joints them together. Compute the hydraulic gradient Compute the rate of seepage flow from the river to the channel per meter width in liters per day. If the seepage velocity is 0.048 m/day, compute the void ratio of the previous medium.Water flows in a rectangular channel of width, w. In some cases, the water may suddenly increase in elevation as shown in the figure (from h1 to h2) through a highly disturbed region called a hydraulic jump. Assume the velocity is uniform at stations 1 and 2, and assume the pressures are distributed hydrostatically. (a) Using the conservation of mass and momentum, find the equation (cubic) for the downstream depth, h2, in terms of h1, V1, and g. (b) Using the Bernoulli equation and whatever other necessary equation(s), find the equation (cubic) for the downstream depth, h2, in terms of h1, V1, and g. In light of (a) and (b) above, does your answer to this part make sense? Explain.(c) For h1 = 1 m and V1 = 7:6 m/s, find the downstream height, h2, using whichever of the above approaches is the most correct. (Note that there are two valid solutions - explain.) What is the downstream velocity?The L-shaped gate ABC shown in figure is 2 m wide and hinged at point B. Compute the water depth h that makes the gate open.