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A Francis radial-flow hydroturbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet:
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- A Francis radial-flow hydro turbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet: r2 = 2 m, rı = 1.34 m, b2 = 0.8 m, and bi = 2.2 m. The runner blade angles are ß = 82° and Bi = 46° at the turbine inlet and outlet, respectively (Figure 3.1). The runner rotates at n = 120 rpm. The volume flow rate at design conditions is 300 m³/s. Irreversible losses are neglected in this preliminary analysis. i. Calculate the angle æ wicket gate should turn the flow, where æ is measured from the radial direction at the runner inlet. ii. Calculate the swirl angle, a, where a is measured from the radial direction at the runner outlet. iii. Does this turbine have a forward or reverse swirl? iv. Predict the power output (kW) and required net head (m).arrow_forwardA pump draws water from open reservoir A at 20 ft above pump centerline and lifts to an open reservoir B at 280 ft above pump centerline. The loss of head at the suction is 3 times the velocity head at the 6 inches suction pipe and at the discharge is 20 times the velocity head at the 4 inches discharge pipe. The pump discharge is 200 GPM. a. The total dynamic head in ft. b. The water power in horsepowerarrow_forward5.9 Diffuser vanes are sometimes used in centrifugal pumps to increase the static pressure at discharge. A few such vanes are shown in the following figure. If the flow rate is 0.1 m³/s and the height of blades is 2 cm, find the increase in static pressure. The inside and outside radii are 15 cm and 21 cm, respectively. 104 Turbomachinery: Concepts, Applications, and Design 14° 27°arrow_forward
- A centrifugal pump with a 3-inches diameter impeller rotating at 1150 rpm delivered 400 gpm of water 80ºF at 250 ft total head. Find the impeller diameter of a geometrically similar pump rotating at 1750 rpm delivering 500 gpm. What is the total head of the second pump.arrow_forwardUsing the performance curve of pump A given in Example VIc.3.2 (41.5” and 710 rpm) and find: a) total dynamic head of a similar pump (pump B), at peak efficiency, having a diameter of 35 inches. Assume that both pumps A and B are operating at the same speed. b) pump head if pump B is now operating at 1170 rpm. [Ans.: a) H = 192 ft and b) H = 521.5 ft].arrow_forward3. A 90% efficient Francis turbine running at 100 rpm discharges 6m * 3/s of water. The inner runner radius is 1.8 m and the outer periphery of the wheel has a radius of 2.5 m. The blade height is 50 cm. The blade angle beta_{1} is 80 degrees and beta_{2} is 160 degrees Find the vane angle, torque, and the power from the turbinearrow_forward
- Given: Two (2) identical pumps connected in parallel has the following data: Suction Pressure = 315 KPA Discharge Pressure = 220mmHg Suction Pipe Dia = 390mm Discharge pipe Dia = 405mm Velocity of Water = 6.0 m/s Solve: Total Head, Pump1 & 2 individual head and if Pump 2 is 9.5% less than Pump 1 and Q₁ = Total Flow Ratearrow_forwardFigure below shows the performance curve family of Model 5009 Centrifugal pumps of Taco Pump Inc., running at a fixed speed of N = 1160 rpm. For the pump with the impeller diameter D = 8.625 in., you are asked to determine the best efficiency point (BEP) of the given pump. What is the pump efficiency at BEP? HEAD IN FEET 50 0 0 0 0 40 20 10 O 81% 8.625" 30 (219mm). O 51% O 71% ○ 61% O Taco L/SEC 5 9.25" (235mm) 8.00" (203mm) 7.375" (187mm) 6.75" (171mm) 0 10 15 125 Model 5009 FI & CI Series 20 25 CURVES BASED ON CLEAR WATER WITH SPECIFIC GRAVITY OF 1.0 8 8 52 75% 77% 30 79% 1160 RPM FEBRUARY 19. 2002 35 40 45 REQUIRED NPSH olº 1.5HP (1.1KW) dot 17% Curve no. 2140 Min. Imp. Dia. 6.75" Size 6 x 5 x 9.0 50 55 60 75% 72% 250 375 500 625 FLOW IN GALLONS PER MINUTE 8% 2HP(1.5KW) 750 %09. 55% (2.2KW) 3HP 7.5HP(5.6KW) 2015 do 35% 875 FEET 15 12 -9 6 SHP(3.7KW) 3 0 10 8 NPSH 1000 HEAD IN METERS 5 KPo 45 -36 27 18 9 -0 100 -80 60 -40 2 -20 8 HEAD IN KILOPASCALSarrow_forwardThe external and internal diameters of the impeller of a centrifugal pump are 0.3 m and 0.15 m respectively. The rotational speed of the pump is 1200 rpm and the vanes make an angle of 28° with the peripheral velocity direction at the outlet. The velocity of the flow through the impeller is constant at 1.7 m/s. Assuming the manometric efficiency of 82%, find the vane angle at the inlet (°). 18:19 /arrow_forward
- 1. A propeller 2 f t in diameter moves at 20 f t/s in water and produces a thrust of 1000 lbf . Find the ratio of the upstream to downstream velocities, and the efficiency. 2. An airplane flies at 140 mph at sea level at 60◦F. The propeller diameter is 8 f t, and the slipstream has a velocity of 200 mph relative to the airplane. Find: (a) The propeller efficiency. (b) The flow velocity in the plane of the propeller. (c) The power input. (d) The thrust of the propeller. (e) The pressure difference across the propeller disk.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_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 /sarrow_forward
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