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- Ans. [391.67 kW, 61.13 %] Problem (5.4) A nozzle in an impulse turbine delivers 1 kg/s steam to a set of blades moving at 200 m/s. The nozzles are inclined at an angle of 16° to the plane of the wheel. The blade velocity coefficient is 0.72, calculate the blade efficiency, work done and also estimate the energy V?. lost in the blades as; m° (-2).Take the blade angles at inlet and 2 outlet =25°. Ans. [76%,105 kW, 27.072 kW]For the figure shown below, what flow rate is required to produce 4,700 HP if the turbine is 72% efficient? D = 3 ft L 3,600 ft f=.026 11 MGD O 16 MGD 20 MGD O 25 MGD Az = 2,300 ft T Minor Loss Kent = 0.8 Kvalve = 5 Kelbow = 0.66 x 3 Kbend = 0.47 Kvalve = 2.2 Kexit = 1.0(Q1) A small reservoir based plant is planned in a remote location to supply water into a micro turbine to generate electricity. The height of water level in reservoir is 10 m. The micro turbine is to be located at ground level at a distance of 200 m from the reservoir. To generate sufficient power, the minimum head (total head) required at the turbine inlet is 9 m with the flow rate of 0.4 m3/s. The loss coefficient (KL) at the inlet to the pipe from reservoir is calculated as 0.4. Determine the minimum diameter of the cast iron pipe (roughness, e = 0.26 mm) required for the proposed design. Take following properties of the fluid: density (EGL). 1000 kg/m3, viscosity = 0.001 kg/m-s. Draw hydraulic grade line (HGL) and energy grade line Reservoir H = 10 m Inlet, K, = 0.4 Pipe Turbine 200 m
- 67. A turbine is located 100 m below the surface of a lake. The discharge pipe has an elevation of 5 m from the turbine centerline. The head developed by the turbine is 81.5 m. Pressure at the discharge pipe is 15 psig. Find flow velocity and the power developed by the turbine. Ignore frictional losses and use D; = 4 m. [Ans.: V4 = 7.62 m/s, 76.5 MW].[1] A Pelton turbine is driven by two jets, generating 5.0 MW at 80 rev/min. The effective head at the nozzles is 300 m of water and the nozzle velocity coefficient, KN = 0.97. The axes of the jets are tangent to a circle 2 m in diameter. The relative velocity of the flow across the buckets is decreased by 17% and the water is deflected through an angle of 165 deg. Neglecting bearing and windage losses, determine: (i) the runner efficiency; (ii) the diameter of each jet; (iii) the power specific speed.Using data given below, determine the main dimensions and blade angles of a Francis turbine. Net head=65 m, speed%3 700 rpm, BHP= 400. Actual hydraulic efficiency= 94%, overall efficiency= 85%, flow ratio= 0.18, (wheel width at inlet/ wheel diameter at inlet)=0.1, (inner diameter/ outer diameter)= 0.5, assuming constant velocity of flow and radial discharge. Neglect area blocked by blades. Width of the wheel at outlet:
- A 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) approximate 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 unit is 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 ftUz な、 以う0 Vrz VF = Vz Ure Maxe Dr. Ayser Muneer Turbomachines Example (5-2) An inward flow reaction turbine is supplied with water at a rate of (600 Vsec) with a 3 velocity of flow of (2 m/sec). the velocity of periphery and velocity of whirl at inlet are 24 m/sec and 18 m/sec respectively. Assuming radial discharge at outlet and the velocity of flow to be constant, find; 1- Vane angle at inlet, and 2- Head of water on the wheel. V Solution Vn Q = 0.6 m/sec, Vn=2m/sec, uj=24 m/sec, Vu=18m/sec, V1=Vr2 m/secWhat is the engine bore (in mm) required for good volumetric efficiency for an engine with two inlet and two exhaust valves, stroke of 90 mm, inlet air temperature of 332 K, exhaust temperature of 900 K, engine speed of 8200 rpm and exhaust valve diameter Assume specific heat ratio =1.3, R = 287 J/kg.K, and an average inlet flow coefficient 0.4 and an average exhaust flow coefficient 0.5. mm (each). Select one: O a. 96.57 O b. 70.23 O c. 105.2 O d. 91.05 O e. 82.71
- Laboratory tests on a centrifugal pump, which is directly coupled to a motor running at constant speed of 1450 rpm give the following data: Q, m³/s H, m P, KW 0.0 105 100 0.05 104 115 0.10 102 135 0.15 100 171 0.20 95 202 0.25 85 228 0.30 67 249 Plot the operating characteristic curve and hence determine the specific speed and the discharge at the Best Efficiency Point (BEP).A turbine is located at an elevation 200 m below that of the surface of the water intake. The friction loss in the pipeline leading to it is 8 m and the turbine efficiency is 90%. What is the power input delivered by the turbine to the turbine if the flow is 3.0 m^3/s in kW? a.5121.41 b.5690.45 c.5085.50 d.5650.56Q. A single stage impulse rotor has a blade ring diameter of 57.5 cm and rotates at a speed of 10,000 r.p.m. The nozzles are inclined at 20o to the direction of motion of the blades and the velocity of the issuing steam is 1,050 m/sec. Determine the inlet blade angle. Assume a friction coefficient of the blading equal to 0.85 and that the inlet and outlet angles are equal. Find also: (a) the power developed at the blades for a steam supply of 1,350 kg per hour (b) the diagram efficiency, and (c) the loss of kinetic energy due to blade friction