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- For two row velocity compounded simple impulse turbine wheel derive the expressions for Diagram Power and Diagram Efficiency and also prove that : i. (P )max = 8 Cb? ii. ( na )max = Cos'ai3.11) The conditions of air at the entry of an axial compressor stage are: Рi %3D 768 тт Hg & Ti = 314 K. The air angles are B1 = 51°, B2 = 9°, a1 = az = 7°. The mean diameter 50 ст. The peripheral speed 100 m/s. Mass-flow rate 25 kg/s work done factor 0.95 mechanical efficiency 92 % stage efficiency 88 % (a) Air angle at the stator entry, [a2 50.18°] (b) Blade height at entry and the hub-tip diameter ratio, [h, = 19 cm ; dn/d = 0.449] (c) Stage loading coefficient. [V = 0.754] (d) Stage pressure ratio. [Po3/Po1 1.075] (e) The power required to drive the stage. [Power = 204.75 kW]Q . It is proposed to pump 8,000 kg/h of toluene at 114 oC and 1.1 atm abs pressure from the reboilerof a distillation tower to a second distillation unit without cooling the toluene before it enters thepump. If the friction loss in the line between the reboiler and pump is 7 kN/m2 and the density oftoluene is 866 kg/m3 . How far above the pump must the liquid level in the reboiler be maintained togive a net positive suction head of 3.5 m? Calculate the power required to drive the pump if the pumpis to elevate the toluene 10 m. The pressure in the second unit is atmospheric and the friction loss inthe discharge line is 35 kN/m2 . The velocity in the pump discharge line is 4 m/s.
- Ans. 3908 m/min. 14.5 Find the cylinder dimensions of a single-cylinder, double-acting compressor handling 28.32 e/revolution of air from 99.975 kPaa to 723.954 kPaa. Compression and reexpansion are in accordance with PV135 = C. Use the conventional volumetric efficiency; c = 5% and L/D = 1. %3D %3D1. From the data given below, calculate the power required to drive the compressor and stage air angles for an axial flow compressor. Stagnation temperature at the inlet: Overall pressure ratio: Isentropic efficiency of the compressor: Mean blade speed: Axial velocity: 288 K 4 0:88 170 m/s 120 m/s Degree of reaction: 0:5 A. P = 439.5 kW, B, = 77.8°, B, = 72.69° C. P = 639.5 kW, B, = 77.8°, B2 = -72.69° B. P = 539.5 kW, B, = -77.8°, B2 = 72.69° D. P = 739.5 kW, B, = -77.8°, B2 = -72.69°Each stage of an axial-flow compressor is 0.5 reaction,, has the same blade speed and the same flow outlet angle of 30 deg relative to the blades. the mean flow coeficcient is constant for all stages at 0.5. At entry to the first stage the stagnation temperature is 278 K, the stagnation pressure 101.3 kPa, the static pressure is 87.3 kPa and the flow area 0.372 m2. Using compressoble flow analysis determine the axial velocity and the mass flow rate. Determine also the shaft power needed to drive the compressor when there are 6 stages and the mechanical efficiency is 0.99.
- A simple jet carburetor is required to supply 5 kg of ai and 0.5 kg of fuel per minute. The fuel specific gravity is 0.75. Thrnea'r is initially at 1 bar and 300 K. Calculate the throat diameter or ir choke for a flc ty ocity of 100 m/s. Velocite oefficient is 0.8. If the pressure drop acit 1 1he fuel metering orific orifice diameter assuming. Caf .60 and= 1.4. 80 of that of the choke. calculateQ2//The rotational-speed of an impulse turbine wheel is 3000 r.p.m. The nozzles are inclined at 20° and their efficiency is 0.89. The isentropic heat drop for the stage is 159 kJ/kg. If the blade speed ratio is 0.4, the blade speed coefficient is 0.82, and the blade efficiency is 0.76. Find for steam flow rate of 15 kg/s: 1. The mean blade ring diameter. 2. The power developed by the stage. B = 32.4°:Be : 38.5°). %3D %3D Answer (1.355m, 1613.2 kW,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]
- In a reaction stage of a stcam turbine the nozzle angle is 20° and the absolute velocity the steam at inlet to the moving blades is 240 m/s. The blade velocity is 210 m/s. If 1.7 the blading is designed for 50% reaction, determine: (i) the blade angle at inlet and exit; il the cathalpy drop per unit mass of steam in the moving blades and in the complete stage; (i) the diagram power for a steam flow of 1 kg/s: (iv) the diagram efficiency. (79.3, 20°; 25.3 kJ/kg; 50.6 kJ/kg; 50.6 kW; 93.5%)QUESTION 1:A centrifugal pump consists out of an impeller, diffuser and casing and is powered by 300kW (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:1.1The impeller inlet (i) diameter and inlet blade velocity.(Hint - Substitution: ln in terms of D and U, in terms of D, both sub into Tan of Blade inlet angle,only unknown is then solving for Dz)1.2.If the pump has a mechanical efficiency of 80%, calculate the blade velocity atoutlet (U.) and outlet whirl velocity Vw.. Assume the blade exit angle equal to theguide vane angle. (Hint - Substitution: Write Vw in terms of U, sub in Euler equation onlyunknown then is solve for Vwo)1 3Impeller outer diameter.1.4,If the flow through velocity is consistent through the…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…