Given y = Emin, prove the following statement: Velocity head is equal to half the hydraulic depth at the critical flow condition.
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- 2. Four reservoirs connection is shown below. Determine the discharges in each pipe using Manning's Equation withn = 0.012. Draw the final hydraulic gradient line (HGL). Diameter of pipe (m) Length of pipe (m) 1500 800 Pipe AX 0.30 BX 0.25 XY CY 400 0.30 500 0.20 DY 1600 0.20 WS ELEV. = 300 m wS ELEV. = 150 m WS ELEV. = 100 m ELEV. = 75 m WS D. Y1 QUESTION 1 Consider a desired pump operating condition which adds 35 psi at a flowrate of 500 gpm to water (p= 62 11m/ft²³) Ignore any changes in Kinetic or potential energy and Tassume isothermal flow C.e. internal energy is constant, this is the normal assumption we make when analyzing fluid flows in piping systems). Apply the energy balance only across the pump with full energy Balance and simlifying to solve for the pump, Starting head symbolically. Then begin careful of units, Solve for pump head in feet. GIVEN: 35psi 500 gpm p=62 1bm/3 XA. 10.5 A B. 100.8 ft C. 50.1 ft D. 80.7f 35 500 62 (32.2) + 2(32.2) 35 + 500Find the flow rate, net head, and efficiency of the pumps if they are operating separately. Show on the graph you have drawnas a representative how you have determined by using the graph. Using the graphs, show your selection and calculations onthe graph (you can draw the graphs on excel) ÖN=5
- Please show complete diagrams and solutions T.Y :) Use Bernoulli's Energy Equation Dislike if not followed A 24 in. pipe conducts water from reservoir A to a pressure turbine (elev. = 15'), which discharges through another 24 in. pipe into tailrace B (elev. = 0'). The loss of head from A to 1 is 5 times the velocity head in the pipe and the loss of head from 2 to B is 0.2 times the velocity head in the pipe. What must water surface elevation at the reservoir be maintained such that the energy given up in the turbine is 552 hp? Assume discharge equals 25 cfs. Express all dimensions in English units.A sharp edged orifice will be required to produce a discharge of 35 liters/sec of water under a head of 3m. Find the required diameter, when C = 0.595SUPPLEMENTARY QUESTION The figure shows two reservoirs connected by a pipe. The discharge rate in the pipe is known to be equal to SN/100 (m2/s) (where SN is the sum of your student number). Calculate the height of the second reservoir (H2), and the pressure head, velocity head and elevation head at point 3 (mid-point of the pipe). HI 300 m H2 datum A = SN/1000 L = 100 x SN (m) D 0.3 m Please solve these question my sn number 31
- a) Two pipes have a length ? each. One of them has a diameter D, and the other a diameter d.if the pipes are arranged in parallel, the loss of head when a total quantity of water Q flows through them is h, but, if the pipes are arranged in series and the same quantity Q flows through them, the loss of head is H. If ?=?/2, find the ratio of H to h, neglecting secondary losses and assuming the pipe coefficient f has a constant value. b) A pipeline of 0.6m diameter is 1.5km long.To increase the discharge, another line of the same diameter is introduced parallel to the first in the second half of the length.Neglecting minor losses, find the increase in discharge if 4f = 0.04. The head at inlet is 300mm. c) Determine the difference in the elevations between the water surfaces in the two tanks which are connected by a horizontal pipe of diameter 300 mm and a length of 400 mm. The rate of flow of water through the pipe is 300 litres/s. Consider all losses and takef=0.008. d) Water at 20°C is…Problem 4: Water flow rate in an open channel is measured using a right angled V notch. The head of water over V notch is 0.15 m. Assuming the coefficient of discharge of the notch as 0.65, calculate the discharge in the channel. Ans: Q= 0.0134 m³/ sec.b) Draw the energy grade line (EGL) and the hydraulic grade line (HGL) for the flow in the following figure writing the formula of minor losses for each type. Assume complete rough pipes with roughness coefficient =0.28 mm for the three pipes, what is the total difference in head between the two tanks when the flow discharge is 1.2 m³/s. Tank1 D1=0.5m + V Pip1 Pipe2 Valve Pipe3 k =0.7 valve L1=300m L2=120m L3=700m Tank2 D3=0.5m D2=0.8m
- 6- Determine the type of flow in the water conveying pipe with a diameter of (20 cm) connected to a Vinguri scale with a neck diameter of (5 cm), where the reading of the manometer connected to the two ends of the scale was (Hg 15 cm). Note that: the density of mercury (gm/cm3 13.6) and the scale constant is 1Water is to be pumped from a lake to a ranger station on the side of a mountain (see figure). The length of pipe immersed in the lake is negligible compared to the length from the lake surface to the discharge point. The flow rate is to be 95.0 gal/min, and the flow channel is a standard 1-inch. Schedule 40 steel pipe (ID = 1.049 inch). A pump capable of delivering 8 hp (= W, ) is available. The friction loss F (ft-lbf/lbm) equals 0.0410 L, where L (ft) is the length of the pipe. %3D1- Derive an expression for the flow rate q over the spillway shown in figure bellow per foot of spillway perpendicular to the sketch. Assume that the sheet of water is relatively thick, so that surface -tension effects are negligible. Assume also that gravity effects predominate so strongly over viscosity that we can neglect viscosity. H.