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In Problem 6.107 an initial calculation was made regarding the potential delivery of water to a village via a tube from a nearby water source. No losses were considered, and the theoretical flow rate was determined to be
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Applied Fluid Mechanics (7th Edition)
- As seen in Figure 3 below, the water from the tank 1 is pumped to the tank 2 with a flow rate of 5,664 liters/s, passing through a pipe with a diameter of 50.8 mm and a length of 121.92 m. Some of the local losses in the system are also shown on the figure. Calculate the effective power of the pump by taking the relative roughness ɛ / d = 0.001 Note: For all questions, pwater = 1000 kg/m³, g=9.81m/s^2 , the kinematic viscosity of water is 1.0219x106 m²/s and the questions can be solved by accepting the values that are not given.arrow_forwardA farmer is to pump water at 70°F from a river to a water storage tank nearby using a 125-ft-long, 5-in-diameter plastic pipe with three flanged 90° smooth bends. The water velocity near the river surface is 6 ft/s, and the pipe inlet is placed in the river normal to the flow direction of water to take advantage of the dynamic pressure. The elevation difference between the river and the free surface of the tank is 12 ft. For a flow rate of 1.5 ft3/s and an overall pump efficiency of 70 percent, determine the required electric power input to the pump.arrow_forwardWater from a nearby lake is to be used for a fountain and a water tank. The figure below shows the elevations and pipe connections. It is desired that the jet water of the fountain reaches a height of at least 2.5 m from the nozzle outlet. As for the tank, it is elevated in order for it to distribute water using gravity. The specifications of nozzle, suction and discharge pipes are given in the table below. Assuming negligible minor head losses, what is the minimum power input to the pump in kW? Take pump efficiency to be 88% and motor efficiency, 95%. Water from the fountain is returned to the lake through a drainage (not shown in the figure). round off the answer to 4 decimal placesarrow_forward
- Oil of specific gravity 0.750 is pumped from a tank over a hill through a 24′′ pipe with the pressure at the top of the hill maintained at 25.5 psi. The summit is 250 ft above the surface of the oil in the tank, and oil is pumped at the rate of 22.0 cfs. If the lost head from tank to summit is 15.7 ft, what horsepower must the pump supply to the liquid? Indicate the Free Body Diagramarrow_forward1 - If the pipeline is now specified to be of Schedule 40 with a nominal diameter of 6 in., and the available pressure at the pump exit is P2 = 132.7 psig, what flow rate Q (gpm) can be expected? Answer the following additional questions: 2 -If the combination of pump and motor is 80% efficient, how much electrical power (kW) is needed to drive the pump? 3 -, in order to avoid vapour lock, the pressure in the pipeline must always be above the vapor pressure of the crude oil, what is the maximum permissible elevation of point 3 relative to point 4? 4 -If the flow in the pipeline were at the upper limit of being laminar, what pump exit pressure would then be needed? (Answer this part without using the friction factor plot.arrow_forwardDuring the daytime, water is drawn from an upper reservoir and is run through a turbine on its way to a lower reservoir in order to produce power. The pipe is 300 feet long and has a 2.0-foot diameter. It is constructed of commercial steel which has a roughness height of = 0:0018 in. Find the power extracted by the turbine if the downward volume áow rate is 20,000 gallons per minute.(Recall that H2O = 1:94 slugs/ft3, H2O = 2:4 10^-5 slugs/fts.) You may assume that the turbine is 100% efficient.(b) Find the maximum power the turbine can deliver. What is the volume flow rate (in gallons per minute) for maximum power output? (Hint: plot power vs. flow rate in order to answer this question.)arrow_forward
- a) What would be the shaft power required to turn the impeller if the exit blade angle is 45 degrees. b) Find the major losses in the system. Take the pipe Darcy friction factor as 0.04. c) Find the minor losses in the system considering the 90 degrees elbows’ losses and the exit/entrance losses of the tanks. Consider that the exit of tank 1 is sharp-edged and take the loss coeffcient of the entrance of tank 2 as 1. d) Determine the difference in height between the water surfaces in the two tanks assuming that there are no losses within the pump.arrow_forward4. The pump station requires to lift the water requirement of the municipality. The total dynamic head requirement is 40 m. If the total head loss is 5 m, determine the power in kW required to reach the required elevation. If the efficiency of the pump is 80% determine the power required in kW. 5. The Water District plans to cross two parallel pipes along both sides of the bridge to augment the 400 mm transmission line. If the diameter of the two pipes are 200 mm and 250 mm, respectively, determine the total head loss in meter and the flow rate in m3/s along the two pipes. Consider that the flow is 25 MLD and the length of both pipes are 150 m.arrow_forwardIn an annular section made of commercial steel pipe with an outer diameter or 13.78 inches inside a commercial steel pipe with an inner diameter of 23.62 inches carries a water flowrate of 600L/sec. The total length of the section is 10m. What is the frictional loss in meters of water at a temperature of 68o F?arrow_forward
- A centrifugal pump is used to pump water through horizontal distance of 150 meters and then raised to an overhead tank 20 meters above. The pipe is smooth with inside diameter of 50 millimeter. The pump head (meter of water) that will be generated at its exit to deliver water at a flow rate of 0.001 cubic meter per second is Blank 1 meter of water. Use fanning friction factor = 0.0062 Express your answers in whole siginificant figure without decimal value and without unitarrow_forwardThe below figure shows a pump that transfers a steady stream of 35◦API crude oil from an oiltanker to a refinery storage tank, both free surfaces being open to the atmosphere. Theeffective length—including fittings—of the commercial steel pipe is 6,000 ft. The dischargeat point 4 is 200 ft above the pump exit, which is level with the free surface of oil in thetanker. However, because of an intervening hill, point 3 is at a higher altitude than point 4.Losses between points 1 and 2 may be ignored.The crude oil has the following properties:Density ρ = 53 lbm/ft 3 ; Viscosity μ = 13.2 cP; Vapour Pressure Pv = 4.0 psia Answer the following questions:1. If the combination of pump and motor is 80% efficient, how much electrical power(kW) is needed to drive the pump?2. If, in order to avoid vapour lock, the pressure in the pipeline must always be above thevapor pressure of the crude oil, what is the maximum permissible elevation of point 3relative to point 4?3. If the flow in the pipeline…arrow_forwardThe following system is fed by a centrifugal pump. The piping is constructed from smooth plastic of OD 55 mm, wall thickness 2.5 mm. The minor losses for the system prior to the pump are given by KL = 12.0. The system curves for this pump are attached. If the flowrate is reduced to 1.4 m3/hr, and the upstream head requirement were 17 m, what would the electrical power requirement of the pump be?arrow_forward
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