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Part of the water supply for the South Rim of Grand Canyon National Park is taken from the Colorado River [54]. A flow rate of 600 gpm taken from the river at elevation 3734 ft is pumped to a storage tank atop the South Rim at 7022 ft elevation. Part of the pipeline is above ground and part is in a hole directionally drilled at angles up to 70° from the vertical; the total pipe length is approximately 13,200 ft. Under steady-flow operating conditions, the frictional head loss is 290 ft of water in addition to the static lift. Estimate the diameter of the commercial steel pipe in the system. Compute the pumping power requirement if the pump efficiency is 61 percent.
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- Sketch the energy grade line (EGL) and hydraulic grade line (HGL) for the pipeline below.arrow_forward(b) Figure 3 shows a pump with 80% efficiency (no) delivers 50 Liter/s of water at 20°C from tank 1 to tank 2. The pipeline has 150 mm diameter with a length of 200 m made of galvanised steel. Evaluate the input power to an electric motor of 90% (nm) efficiency that connected to the pump. The globe valve used is % wide open. 2 100 m GLOBE VALVE PRESSURE GAUGE МОTOR PUMParrow_forwardProblem 2 A pump is needed in a water supply system. The water is being pumped out of a ground-level storage reservoir with water surface elevation of 149.27 ft and needs to pass over a hill 2 miles away, where the pipe centerline is at elevation 200.00 ft. The flowrate is 22 mgd, pipe diameter is 24 inches, Hazen-Williams friction factor is 110, and pressure at the crest of the hill must be at least 20 psi. (a) What head must the pump provide? (b) How much power will be added to the water? (c) What size motor should be purchased if the pump/motor combination has an efficiency of 80 percent?arrow_forward
- 8.59 Two tanks A and B, of constant cross-sectional area of 10 m² and 2.5 m², respectively, are connected by a 5 cm pipe, 100 m long, with f = 0.03. If the initial difference of water levels is 3 m, how long will it take for 2.5 m³ of water to flow from A to B? Considering entry and exit losses, it can be grossly assumed that the flow velocity, in m/s, through the pipe is 1.75√h, where his in m, taking g = 10 m/sec², also, may take area of pipe as 2 x 10-3 m².arrow_forwardWater is to be pumped to an atmospheric rooftop storage tank atop a 5-story building, 75 feet above ground-level. A pump station is located at the ground-level. The suction line is a 2-inch ID commercial steel pipe tapped into a municipal supply line maintained at 50 PSIG 5 feet below ground-level. The discharge line is 1.5-inch ID commercial steel, and the total length of pipe is approximately 100 ft. There are two ball valves, a water meter, and gate valve on the discharge line. Determine the pump head required to deliver 40 GPM and the pump power that must be supplied to the water. If a pump is required, what is the motor power required if the pump operates at 55% efficiency?arrow_forward3. A pump steadily circulates oil used for lubricating heavy machine tools. The volume flow rate and temperature of the oil are 300 gal/min and 104°F, respectively. At 104°F, the kinematic viscosity and the specific gravity of the oil are 2.15 x 10-3 ft² /s and 0.89, respectively. The pipe lengths are 25 ft for the 4-in diameter pipe and 75 ft for the 3-in diameter one. The Schedule-40 steel pipe has an average roughness element size of 0.0018 in. If all minor losses can be ignored, evaluate how much power (in a unit of horsepower) the pump delivers to the oil. 6 ft 22 ft Flow 15 ft Discharge line 3-in Schedule 40 Suction line 4-in Schedule 40 steel pipe steel pipe Pumparrow_forward
- C2. A conical tube is fixed vertically with its smaller end upwards and it forms a part of the pipeline. The diameter at the smaller end is 245 mm and at the larger end is 467 mm. The length of the conical tube is 1.8 m and the flow rate of the oil is 128 liters/s. The pressure at the smaller end is equivalent to a head of 9.7 m of oil. Considering the following two cases: (1) Neglecting friction, (without head loss) determine (i) the velocity at the smaller end in m/s, (ii) the velocity at the larger end in m/s, and (iii) the pressure at the larger end of the tube. (2) If a head loss (with head loss) in the tube is hL= 0.0153(V1-V2)2, where V1 is the velocity at the smaller end and V2 is the velocity at the larger end, determine (iv) the head loss in m of oil and (v) the pressure at the larger end of the tube.arrow_forwardA designer needs a quarter-turn shut-off valve to flow approximately 10 GPM, with an inlet pressure of 3000 psig and an outlet pressure of 2900 psig. The flow media is clean water at room temperature. She selects a plug valve with a flow coefficient of 1.20. Is her valve choice appropriate for the required application?arrow_forwardTwo-phase pipeline with 0.2 m diameter and 3000 m length. The inlet pressure = 2300 kPa, liquid flow rate = 0.01 m³/s, volumetric Gas Oil Ratio = 44, pr-680 kg/m³, pg-0.93 kg/m³, gas viscosity-0.015x10-³ Pa.s, and liquid viscosity = 9.4x103 Pa.s. If new gas pipeline with flow rate (0.09 m³/s) connects to the middle of the existing pipeline, calculate the pressure at the outlet of existing pipeline?arrow_forward
- 4. The main feedwater pump of a PWR delivers water to the steam generator at a rate of 15,000 GPM (946.3 lit/s). The steam generator pressure is 900 psia (6.2 MPa). The difference between the discharge and the pump centerline eleva- tion is 100 ft (30.48 m). Find the pump static discharge head. Water temperature is 450 F (232.2 C). [Ans.: 2600 ft (792.5 m)].arrow_forwardA Process fluid is pumped from the bottom of one distillation column to another, using a centrifugal pump. The line is a standard commercial steel pipe with a 75 mm internal diameter. From the column to the pump inlet the line is 25 m long and contains six standard elbows and a fully open gate valve From the pump outlet to the second column, the line is 250 m long and contains ten standard elbows, and four gate valves (operated fully open). The fluid level in the first column is 4 m above the pump inlet. The feed point of the second column is 6 m above the pump inlet. The operating pressure in the first column is 1.05 bara and that of the second column is 0.3 barg. (i) Draw the system, (ii) determine the operating point on the pump characteristic curve. (iii) determine the NPSH at this flowrate. The physical properties of the fluid are: density 875 kg/m³, viscosity 1.46 mNs.m², and vapour pressure of the fluid at the pump suction is 25 kN/m². Kelbow-0.75, Kvalve 0.17. Flow rate, m³/h…arrow_forward1. Water (Density = 1000 kg/m3) flows downwards through an inclined conical pipe with the following specifications: Inlet and outlet diameters of the pipe = 0.15m, 0.25 m Volume flow rate of the fluid through the pipe = 0.0015 m3/s Pressure at the outlet of the pipe = 2 bar Height of inlet and outlet above the datum = 2m,1m Perform the following; (i) Draw the schematic diagram of the system; (ii) Determine the pressure at the inlet of the pipe. 2.Analyse the effect on the inlet velocity head if the inlet diameter of the pipe is increased for the system given in Question Q3 (b).arrow_forward
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