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Two water pumps are arranged in Series. The performance data for both pumps follow the parabolic curve fit
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Fluid Mechanics: Fundamentals and Applications
- EX1: Given are the following data for a commercial centrifugal water pump: r1 =10 cm, r2 = 17.5 cm, By =30°, B2 =20°, speed =1440 r/min. Estimate (a) the design point discharge, (b) the water horsepower, and (c) the head if by = b2 = 4.4 cm.(Hint. design point discharge, i.e 11=90°)arrow_forwardA certain centrifugal pump was tested and its performance curves can be approximated as follows: H = 340 - 1.2(Q2), in feet BP = (0.0521Q3) + (1.25Q2) + (11.042Q) + 134.5, in horsepower where Q is in ft3/s. If two of this pump is connected in series to deliver water to a system whose head requirement is 615 ft, what will be the operating discharge rate in ft3/s of either pumps? Assuming the head is equally divided between the two pumps, what is the efficiency of either pumps (in %)? Take the specific weight of water to be 62.4 lbf/ft3.arrow_forwardTwo identical centrifugal pumps connected in series are used to pump water between two storage tanks that are open to the atmosphere, through a cylindrical pipe with ID of 0.1 m on both the discharge and suction side. The total equivalent length on the suction and discharge sides are 20m and 40m respectively. The change in static head is 7m. Pump Data: Q( m3/s) 0 0.01 0.02 0.03 0.04 Δh (m) 23 21.5 18.5 11 3 Assume the friction factor f to be 0.02 and is constant throughout the range of flowrates. a) Determine the operating point of the system. b) Determine the power requirement for the pumping system if the pump efficiency is 75%.arrow_forward
- A pump is designed to deliver 9500 L/min of water at a required head of 8 m. The pump shaft rotates at 1100 rpm. The pump specific speed in nondimensional form is (a) 0.277 (b) 0.515 (c) 1.17 (d ) 1.42 (e) 1.88arrow_forward1Two water pumps are arranged in series. The performance data for both pumps follow the parabolic curve fit Havailable =H0 =aV ^2. For pump 1, H0 =5.30 m and coefficient a =0.0438 m/Lpm^2; for pump 2, H0 =8.70 m and coefficient a =0.0347 m/Lpm^2. In either case, the units ofnet pump head H are m, and the units of capacity V are Lpm.Calculate the combined shutoff head. Complete Answer, thank youarrow_forwardA certain centrifugal pump was tested and its performance curves can be approximated as follows: H = 340 - 1.2(Q2), in feet BP = (0.0521Q3) + (1.25Q2) + (11.042Q) + 134.5, in horsepower where Q is in ft3/s. If two of this pump is connected in series to deliver water to a system whose head requirement is 615 ft, what will be the operating discharge rate in ft3/s of either pumps?arrow_forward
- 1) A steady, incompressible fluid flow through two identical pumps in series, the volume flow rate through the two pumps is equal to V1˙+V2˙. True or False 2) When calculating efficiency, equations for pump and turbine are the same, and both efficiencies should be less than 1. True or Falsearrow_forwardA Francis radial-flow hydroturbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet: r2 = 6.60 ft, r1 = 4.40 ft, b2 = 2.60 ft, and b1 = 7.20 ft. The runner blade angles are ?2 = 82° and ?1 = 46° at the turbine inlet and outlet, respectively. The runner rotates at n. = 120 rpm. The volume flow rate at design conditions is 4.70 ×106 gpm. Irreversible losses are neglected in this preliminary analysis. Calculate the angle ?2 through which the wicket gates should turn the flow, where ?2 is measured from the radial direction at the runner inlet. Calculate the swirl angle ?1, where ?1 is measured from the radial direction at the runner outlet. Does this turbine have forward or reverse swirl? Predict the power output (hp) and required net head (ft).arrow_forwardThe dimensions of a Francis radial-flow hydroturbine are r2 = 2.00 m, r1 = 1.30 m, b2 = 0.85 m, and b1 = 2.10 m, where location 2 is the inlet and location 1 is the outlet. At the turbine inlet and outflow, the runner blade angles are β2 = 71.4° and β1 = 15.3°, respectively. The runner rotates at a rate of ń = 160 rpm. At design conditions, the volume flow rate is 80.0 m3 /s. (a) State the necessary assumptions and calculate the angle α2 at which the wicket gates should turn the flow (Figure Q1), with α2 measured from the radial direction at the runner inlet. (b) Calculate the swirl angle α1 (Figure Q1), where α1 is the angle measured from the radial direction at the runner output. (c) Calculate the needed net head and power output. (d) Discuss the actual power output and head required for actual case of the turbine (irreversibility not neglected). (Properties For water at 20oC, ρ = 998.0 kg/m3)arrow_forward
- The rate of flow of water in a pump installation is 60.6 kg/s. The intake static gage is 1.22 m below the pump centreline and reads 68.95 kPa gage;the discharge static gage is 0.61 m below the pump centre line and reads 344.75 kPa gage. The gages are located close to the pump as much as possible. The area of the intake and discharge pipes are; 0.093 m2 and 0.069 m2 respectively. The pump efficiency is 70%. Take density of water equals 1000 kg/m3. What is the hydraulic power in kW?arrow_forwardA Kaplan turbine has the following specifications: H =25 ft., N=400 rpm; power = 650 hp. If the efficiency of the unit is 90%, estimate (a) the flow rate, (b) approxi-mate diameter of the runner, (c) turbine setting to avoid cavitation if the location is at sea level, and (d) turbine setting to avoid cavitation if the location of the unitis at an elevation of 5000 ft. The local temperature is 60°F.Ans: (a) Q=254 cfs; (c) Hs=5.8 ft.; (d) 0.12 ft.arrow_forwardData: Hp2,3 = 2 m; A3 = 20 cm²; A₂ = 1 cm²; Hp0,1 = 0.8 m; NB= 74%(pump efficiency) To determine: a) the flow (L/s); b) the area of section (1) (cm³); c) the power supplied by the pump to the fluid.arrow_forward
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