3. A reaction type hydraulic turbine works at the foot of a dam. The effective water head is 18 m, and the velocity of water at the exit from the turbine is 4.5 m/s. The machine develops a shaft power of 2 MW when the water flow rate is 13.2 m/s. Calculate the hydraulic, mechanical and overall efficiencies
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- An axial flow pump discharges water at the rate of 78 m³/min and runs at 550 rpm. The total head is 10 m. Assume blade velocity of 22 m/s, flow velocity of 4.5 m/s, hydraulic efficiency of 0.87, and overall pump efficiency of 0.83. Calculate Cr OP 3.1. The power delivered to the water, and power input The impeller hub diameter and tip diameter 3.2. 3.3. The inlet and outlet blade angles for the rotor 30 07:30 SA Pelton wheel turbine is to operate under a head of 25 m at 200 r.p.m. If the discharge is 9 m /s and turbine efficiency is 90%. Calculate power generated by the turbine, specific speed of the turbine and performance of turbine under a head of 20 m. Also state the type of turbine.1. As a junior city engineer of a municipality, you are tasked to design the specifications of the pump with 3650 cu.m/day. The water source in the municipality is from an open reservoir and will supply to a pressure tank that will distribute to the municipality. open 4l Pressure reservoir Tank 70 m 15 m Pump Determine the following specifications of the pump and piping system (assume fluid stagnation at the pump). Velocity head at pt.1 to 2 if the diameter of the pipe is a.) 200 mm b.) Suction pressure of the pump in kPa (Pressure at pt. 2). c.) Velocíty head at pt.3 to 4 if the diameter of the pipe is 150 mm d.) Discharge pressure of the pump in kPa (Pressure at pt. 4). Assume atmospheric pressure at the pump. If an air vent is installed at the pipe just right before the pressure tank with diameter of 20 mm, what is the velocity of discharge in m/s? The height of the pressure tank is 12 m, what is the flowrate in cu.m/hr at pt.5 if the diameter of the pipe is 150 mm? e.) f.)
- The impeller of a centrifugal pump having external and internal diameter 500mm and 250mm respectively, width at out let 50mm and running at 200rpm works against a head of 48m. The velocity of flow through the impeller is constant and equal to 3m/s the vanes are set back at an angle of 400 at outlet. Determine A.inlet vane angle B.workdone by the impeller on water per second c.manometric efficiencyA Pelton wheel develops 70 kW under a head of 60 m of water. It rotates 400 rpm. Overall efficiency is 80%. Find the discharge rate in m³/s. Use the equation below, where P is power of the turbine shaft and no is the overall efficiency, where specific weight of water is is 9.80 kN/m³ no P YQH A generator is driven by a small, single-jet Pelton turbine designed to have a power specific speed sp 0.20. The effective head at nozzle inlet is 200 m and the nozzle velocity coefficient is 0.985. The runner rotates at 880 rev/min, The turbine overall efficiency is 80%. Find (a) the power delivered by the shaft of the turbine and (b) find the power delivered by the water to the turbine. where density of water is 1000 kg/m³ and g is 9.80 m/s². Use Stup Ω P/p (gHE)* Overall efficiency ne and Power developed at turbine shaft hydraulic power P YQHA centrifugal pump running at 750r.p.m. discharges water at 0. Im3/s against a head of 10 m at its best efficiency. A second pump of the same homologous series, when working at 500r.p.m., is to deliver water at 0.05m3/s at its best efficiency. What will be the design head of the second pump and what is the scale ratio between the first and the second?
- 2. A centrifugal pump consists out of an impeller, diffuser and casing and is powered by 300 kW (shaft power) and rotates at 96.3 rad/s. The flow rate generated by the machine is54.7 Kilo-litres/min. The impeller blade inlet angle and width is 23° and 180 mmrespectively. The blades occupy 12% of the impeller area and the water is assumed toenter the impeller radially. Suction and delivery pipes are equal in size. Determine:2.1. The impeller inlet (i) diameter and inlet blade velocity. (Hint - Substitution: Vfi in terms of Di and Ui in terms of Di both sub into Tan of Blade inlet angle, only unknown is then solving for Di2) 2.2 If the pump has a mechanical efficiency of 80%, calculate the blade velocity at outlet (Uo) and outlet whirl velocity Vwo. Assume the blade exit angle equal to the guide vane angle. (Hint - Substitution: Write Vwo in terms of Uo sub in Euler equation only unknown then is solve for Vwo 2.3 Impeller outer diameter. 2.4 If the flow through velocity is consistent…2. A Pelton wheel is working under a head of 180 m with a discharge of 0.8 m3 /s. The following data are available for the turbine: Coefficient of velocity = 0.985 Angle of deflection of jet = 165° Speed ratio 0.46 Relative velocity at exit = Relative velocity at inlet Jet ratio 12 Compute the (a) hydraulic efficiency, (b) velocity of whirl at inlet and outlet, and (c) mean bucket speed. Assume zero frictional loss in the bucket.A. A water jet of diameter 180 mm impinges on the buckets of a Pelton turbine having overall efficiency of 85% while operating under a net head of 500 m and at speed of 420 rpm. Find the specific speed of the turbine. Take coefficient of velocity of the jet as 0.98 and speed ratio as 0.46. B. The pitch circle diameter of a Pelton wheel is 0.9 m. A jet of water of diameter 80 mm gets deflected by an angle of 170° when it impinges on the buckets. The bucket friction coefficient and coefficient of velocity of jet can be taken as 0.93 and 0.97 respectively. If the net head available on the wheel is 500 m and speed ratio is 0.45, calculate (a) the power transferred to to the wheel by the jet, (b) hydraulic efficiency, and (c) specific speed of the turbine. Take mechanical efficiency of wheel as 0.9.
- 3.1 The Vertical-Shaft Francis Turbine has an overall efficiency of S90% and runs at 7.14 rev/sec with a water discharge of 15.5 m/sec. The head at this point is 240 m, the 93%. Assuming that there is no whirl at outlet from the runner and neglecting the thickness of the blades. Determine: 3.1.1 the output power. 3.1.2 the dimensionless specific speed. 3.1.3 the guide vane angle. 3.1.4 the runner blade angle at inlet.The specific speed of turbine is 85 rpm and running at 450 rpm. The effective head is 20m and generator efficiency is 90%. Compute the maximum power delivered by the generator in kW 734.94 934.94 834.942. A centrifugal pump having extermal and intemal diamcters as 750 mm and 400 mm respectively is operating at 1000 r.p.m. The vancs are curved hack at 35° to the tangent at outlet. If the velocity of flow is constant at 6 m/s, find (a) vane angle at inlet, and (b) work done per kN of water. (Ans. 16°; 123 kJ)