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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)
- Water 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_forward3. Water is pumped through three pipes in series. Compute the discharge if the power delivered to the pump is W₂ = 1920 kW and the pump efficiency is n = 82%. The pipe resistance coefficients are R₁ = 13.2 s²/m³, R₂ = 204.1 s²/m³, R₂ = 25.8 s²/m³, and the head difference between the downstream and upstream reservoirs is 50 m. Ans: Q = 0.792 m³/sarrow_forwardQ.3) Determine the energy loss that will occur as 100 Liters / min of water flows from a small copper tube to a larger tube through a gradual enlargement having an included angle of 30 degrees. The small tube has a 25 mm OD x 1.5 wall thickness; the large tube has an 80 mm OD x 2.8 mm wall thickness.arrow_forward
- Use figure below Question : Water at 20 C is to be pumped through 2300 ft of pipe from reservoir 1 to 2 at a rate of 2.5 ft3/s, as shown in the figure. If the pipe is galvanized iron of diameter 7 in and the pump is 75% efficient, what horsepower pump is needed? Neglect minor losses. HINT : pumped through 2300 ft of pipe from reservoir 1 to 2 at a rate of 2.5 ft3/s, & galvanized iron of diameter 7arrow_forwardWater (15 C) is transported from an open reservoir to the atmosphere through a new cast iron pipe (d = 4 in). At the end of the pipe there is a fully open gate valve. Evaluate the maximum flow rate (gal / min) through the pipe.arrow_forward1. Water flows at a rate of 0.020 m3/s from reservoir A to reservoir B through three %3D concrete pipes connected in series, as shown. Find the difference in water surface elevation in the reservoirs. Use f = 0.026 for all pipes. Neglect minor losses. A Water 1000 m, 160-mm diameter 1600 m, 200-mm diameter 850 m, 180-mm diameter Waterarrow_forward
- A pipe handles a flow rate of 0.002 m³/s. Find the minimum inside diameter that will provide an average fluid velocity not to exceed 6.1 m/s.arrow_forward4. Water (p = 1000 kg/m³) is transferred from a large lake to an open storage tank located at elevation as shown in the Figure 2 below at a flowrate of 90m³/hr. The losses through pipe and fittings (hL) is given as 8m. Determine the mechanical efficiency of the pump if the shaft power required is 12kW. State the assumptions made in your calculations. 30 m WaterLevel Pump Centre Figure 2 Tankarrow_forwardProblem 01 Water from a large reservoir is discharge to atmosphere through a 100 mm diameter pipe and 450 m long. The entry from the reservoir to the pipe is sharp and the outlet is 12m below the surface level in the reservoir. Taking f=0.01 in the Darcy formula, calculate the discharge. Problem 02 Water is discharged from a reservoir into the atmosphere through a pipe 39m long. There is a sharp entrance to the pipe and diameter is 50 mm for 15 m long from the entrance. The pipe then enlarge suddenly to 75 mm in diameter for the remainder of its length. Taking into account the loss of head at entry and at the enlargement, calculate the difference of level between the surface of the reservoir and the pipe exit, which will maintain a flow of 2.8 dm³/sec. Take f as 0.0048 for the 50 mm pipe and 0.0058 for the 75 mm pipe. Problem 03 V d Water is pumped with a velocity 2, 8 m/s in a 150 mm diameter pipe. The H₂ branches at A into a 75 mm diameter pipe, 50 m long with f-0,008, and a the 100…arrow_forward
- 3. As shown in the figure, a pipe system having a total length of 102 m carries a discharge of 0.060 m3 per second. The 30 m pipe has a diameter of 100 mm and the 12 m pipe has a diameter of 120 mm. The minor losses for the entrance, elbows and globe valves are 0.5, 0.9 and 10, respectively. If the friction factor f = 0.0225, compute the following: a) The equivalent length of the pipe (m), *The equivalent length of the pipe is the length of the pipe considering the total head losses. b) The head difference, H (m), c) The pressure difference between entrance and discharge end (kPa). Note: Maintain up to 3 decimal places on partial and final answers.arrow_forward1.A pipe of diameter 300 m and length 3000 m is used for the transmission of power by water. The total head at the Inlet of the pipe is 400 m. Find the maximum power available at the outlet of the pipe. Take f=0.005 2. The head of water at the Inlet of a pipe of length 1500 m and diameter 400 mm is 50 m. A nozzle of diameter 80 mm at the outlet, is fitted to the pipe. Find the velocity of water at the outlet of the nozzle if f=0.01 for the pipe.arrow_forward5. A water tower is used to supply a fire protection system as shown in Figure 10.5. The water tower and the standpipe are 24.4 m tall. The long horizontal pipe is 182.9 m. It is made of cast iron. There is one gate valve at the end of the long pipe. Neglect any other minor losses. What is the maximum flowrate through the pipe? Determine the maximum flowrate when the pipe is new (e=0.26 mm) and when it is 20 years old (double the roughness due to corrosion). H= 24.4 m Figure 10.5 Standpipe Gate valve D= 101.6 mm L3D182.9 marrow_forward
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