Determine the pump head (unit: meter or kPa), using the following parameters
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Determine the pump head (unit: meter or kPa), using the following parameters
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- Provide solutions A penstock with a diameter of 4 ft and length of 225 ft carries water (γ = 62.4 lbf/ft3) through a 200 ft drop from a reservoir to a turbine. The penstock entrance is 10 ft below the water surface. The flow rate through the system is 500 cfs and water exits the turbine in a free jet with a velocity of 9 ft/s. The Darcy-Weisbach friction factor for the penstock is 0.01. Flow is turbulent and head losses at the entrances and exits of the penstock and turbine are negligible. (a) Draw the hydraulic grade line and energy grade line. Label transitions points with the height change using symbols (e.g. hL for pipe head loss) (b) Determine the head delivered to the turbine by the water in ft.(c) If the turbine and generator have a combined efficiency of 80%, determine the power in hp generated by the system.Water 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?A centrifugal pump has a suction pipe with a diameter of 100 mm, and adelivery pipe with a diameter of 75 mm. When discharging 15 L s -1of water, the inlet water pressure recorded is a vacuum of 198 mm Hg. The delivery pressure gauge, placed at 200 mm above the pump inlet, recorded apressure of 0.95 bar. As a reminder:1 bar = 750 mm Hgdensity of water = 1000 kg m -3 Calculate the total head losses, Ht (i.e., the rise in total head) and considering that the measured input power is 3.2 kW, calculate thepump efficiency.
- A tanker carrying tolueneis unloaded to an onshore storage tank using the ship’s pumps. The pipeline is 225-mm inside diameter and 900-m long (200-m long suction line, 700-m long discharged line). Miscellaneous losses due to fittings, valves, etc., amount to 100 equivalent pipe diameters at the suction side, and 500 equivalent pipe diameters at the discharged side. The maximum liquid level in the destination storage tank is 30 m above the lowest liquid level in the ship’s tanks. The ship’s tanks are nitrogen blanketed and maintained at an absolute pressure of 1.05 bar (1 bar = 10^5 Pa). The storage tank has a floating roof, which exerts an absolute pressure of 1.1 bar on the liquid. The ship must unload 1000 metric tons within 5 hours. Taking pump efficiency as 70%, (ρ = 874 kg/m3, μ = 0.62 cP, Pvapor = 0.037 atm absolute). Determine: D. Discharge head (m) and pressure (Pa) E. Actual pump power (kW) F. Available NPSH (m)A tanker carrying tolueneis unloaded to an onshore storage tank using the ship’s pumps. The pipeline is 225-mm inside diameter and 900-m long (200-m long suction line, 700-m long discharged line). Miscellaneous losses due to fittings, valves, etc., amount to 100 equivalent pipe diameters at the suction side, and 500 equivalent pipe diameters at the discharged side. The maximum liquid level in the destination storage tank is 30 m above the lowest liquid level in the ship’s tanks. The ship’s tanks are nitrogen blanketed and maintained at an absolute pressure of 1.05 bar (1 bar = 105 Pa). The storage tank has a floating roof, which exerts an absolute pressure of 1.1 bar on the liquid. The ship must unload 1000 metric tons within 5 hours. Taking pump efficiency as 70%, (ρ = 874 kg/m3, μ = 0.62 cP, Pvapor = 0.037 atm absolute). Determine: A. Pump head (m) B. Pump differential pressure (Pa) C. Suction head (m) and pressure (Pa) D. Discharge head (m) and pressure (Pa) E. Actual pump power…A tanker carrying tolueneis unloaded to an onshore storage tank using the ship’s pumps. The pipeline is 225-mm inside diameter and 900-m long (200-m long suction line, 700-m long discharged line). Miscellaneous losses due to fittings, valves, etc., amount to 100 equivalent pipe diameters at the suction side, and 500 equivalent pipe diameters at the discharged side. The maximum liquid level in the destination storage tank is 30 m above the lowest liquid level in the ship’s tanks. The ship’s tanks are nitrogen blanketed and maintained at an absolute pressure of 1.05 bar (1 bar = 10^5 Pa). The storage tank has a floating roof, which exerts an absolute pressure of 1.1 bar on the liquid. The ship must unload 1000 metric tons within 5 hours. Taking pump efficiency as 70%, (ρ = 874 kg/m3, μ = 0.62 cP, Pvapor = 0.037 atm absolute). Determine: Discharge head (m) and pressure (Pa) Actual pump power (kW) Available NPSH (m)
- A single acting, two stage, reciprocating compressor receives air at 100 KPa and air capacity of 0.05 m3/sec and delivered at 400 KPa. The clearance volume is taken to be 8 %. The compression and expansion process is isentropic with compressor mean piston speed of 150 meter/min. Assuming that each piston has the same amount of stroke. no pressure drops at the suction and discharge ports of the compressor and perfect intercooling, determine: a) The piston diameter in centimeters b) The total power required in Kilowatts c) The heat loss at the intercooler in KilowattsA pumping system has the following characteristics, f=0.015 length of thepipe = (2500 ft) pipe diameter 6 in, losses less than 0.5, the pipeis cast iron, and the system curve is:Hp= 34+ 5.47Q2Knowing that the system curve and the pump curve intersect at 12 cfsa. Determine Operation headb. Determine dischargec. Plot the system curveAlbert bought a portable device to pump his truck tyres. On the manual, he found out that the device is a single stage, single - acting compressor. Air delivery for this device is 30 bar at a speed of 1500 rev/min. The atmospheric condition of his location is 87 kPa and 20 degrees, with FAD of 0,22 m²/min. The clearance volume is 4 %of the swept volume and the stoke/bore ratio is 1,3/1. Take n as 1,3, Cp=1,005 KJ/Kg K, Cv=0,718 KJ/Kg K Determine the following : A) The value of stroke and bore? B) the isothermal power of the compressor in KW? C) the induced volume per stroke in m³ and the swept volume in m³ to 6 decimal place? D) The volumetric efficiency in percentage? E) the Power input to the compressor in kW? F) the delivery temperature of air in the compressor in Kelvin? G) the delivery isothermal efficiency of the compressor percentage? H) the delivery volume in terms of stroke volume, provide the coefficient values of the swept volume? I) the induced volume in terms of stroke…
- FLUID POWER TRCHNOLOGY 2) Describe Kaplan, Francis and Pelton turbines based on working principle and flow path.a. Given the static head of 28.91 m, and static pressure head of 3.15 cm WC. What is the normal pressure, Pn? b. What is the Static efficiency of the fan if the air flow rate is equal to 3.8 5m /sec, total head of 68.72 m, velocity head of 30.86 m, mechanical efficiency and power are 39.12% and 35.72 KW at 30.69°C, respectively. c. Solve for the area at entrance of the fan blade, if the it has a 346mm diameter, flow of air is equal to 23.328 m/se and flow rate of 3.05 m³ /second.1. A centrifugal pump delivers 900 ?3/ℎ? of sea water (sp.gr.= 1.03) from a source wherethe water level varies 2 m from high to low tide level. The pump centerline is located2.6 m above the surface of the water at high tide. The pump discharges into theatmospheric surface condenser, 3 m above the pump centerline. Loss of head due tofriction in the suction pipe is 0.8 m and that in the discharge side is 3 m. Pump is directlycoupled to a 1750 rpm, 460 volts, 3 phase, 60 Hz. Calculate: a) total dynamic headb) pump theoretical powerc) power to drive the pump if pump efficiency is 82%