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- At a hydraulic plant the propeller type turbine are rated at 48,000 HP at 82 rpm under a 14 meters head, the diameter is 7 meters, for a geometrical similar turbine to develop 36,000 HP under a 11 meters head. After resolving the percentage change in probable flow, determine the following: (A) What diameter, in meter, of the impeller to be used? (B) What is the speed, in RPM, should be used?please answer A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles.( A)What is the theoretical head Ho, in meters, assuming that the circulatory flow coefficient η∞ = 1.,(B)In the preceding example; assume a deviation of 10° applied to β2 due to circulation after the modern theory. The flow is 30 lit/s. After drawing/illustrating the velocity diagram, find the theoretical head Ho, in meters, assuming radial flow at inlet, neglecting the deviation in inlet velocity diagram. (c)Assuming that the mechanical efficiency ηmech = 0.95, the hydraulic (or manometric) efficiency ηman = 0.8, find the required break horsepower to drive the pump.An anemometer mounted on the nacelle of an operating downwind propeller type turbine measures an average wind speed of 10 m/s. Estimate the undisturbed wind speed, assuming this anemometer measures the same wind speed as seen by the propeller.
- The wind turbine gives the following data: Blade length, l = 49 m, Wind speed, V= 32 Km/Hr, Air density, ρ = 1.23 kg/m3 , Power Coefficient, Cp = 0.4, Calculate the power available in the rotor in Watts. A- 151931161.80 W B- 394985.47 W C- 60772464.72 W D- 1302564.83 W1. For a given pump, the diameter, the gauge pressures at the inlet and outlet are −30 × 103 P a and 200 × 103 P a, respectively. If the flow rate is 0.1 m3/s, and the power required is 25 kW, find the efficiency. The intake and discharge are at the same height. 2. The impeller of a radial-flow turbine has an outer radius of 4 f t, turning at 200 rpm. The volume flow rate is 1000 ft3/s, and it discharges in the axial direction. Neglect all losses. If the tangential component of the velocity at the inlet is 5 f t/s, find: (a) The torque exerted on the impeller. (b) The power developed by the machine.An electric utility decides to add 50 MW of wind generation to its system. If the individual units are to be rated at 2 MW in a 13-m/s wind at standard conditions and have efficiencies Cp = 0.32, ηm = 0.94, and ηg = 0.96, what is the required swept area of each rotor?
- 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) 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.1. You are tasked to supervise the design of 0.5MW wind turbine to be constructed in a Wind Farm in Pililla, Rizal. Suppose the design criteria are as follows: The air density as surveyed after 2 year period averaged at 1.225 kg / cubic meter. The sweeping diameter of the rotor blades is 125m, and the anemometer reading in the area amounts to 4.2m/s on a 2 year period of survey. In the design specifications given, if the actual measurement of power via the substation amounts to exactly 530kW and given that the windspeed is off by 0.05m/s, what could have been the error in the measurement of diameter? Your answer must be in 3 decimal places and in correct signs and measurement. Show complete solution in paper.A fan has a suction static pressure of 40mm of water vacuum with air velocity of 5m/s. The discharge has 160mm of water gage and discharge velocity of 9m/s. What is the total head of the fan if air density is 1.2kg/m3, mm of water gauge. Answer: 203.43
- 13.73. A model of a motorboat is driven at 4.57 m/s by means of a jet of water 25 mm in diameter, ejected directly astern. The velocity of the jet relative to the model is 35.1 m/s. What is the driving force? Ans. 543 NTwo pumps (Pump A and B) have performance curves which can be approximated by the following equations: H_A = 340 - (1.2(Q^2)), in feet H_B = 360 - (2.5(Q^2)), in feet where Q is in ft^3/s. If pumps A and B were to operate in parallel as depicted in the figure below, at what head (in ft.) should either pump be operated?5. The total head of a fan is 185 m and has a static efficiency pressure of 210 mm of water gage.What is the velocity of air flowing if the density of air is 1.15 kg per cubic meter? 8. A coal fired steam boiler uses 3000 kg of coal per hour. Air required for combustion is 15.5 kg ofcoal at barometric pressure of 98.2 KPa. The flue gas has temperature of 285 degree Celsiusand an average molecular weight of 30. Assuming an ash loss of 11% and allowable gas velocityof 7.5 meters per second. Find the diameter of the chimney 9. The gas density is 0.75 kg per cubic meters and air density is of 1.15 kg per cubic meter. If thedriving pressure is 0.25 KPA. Determine the height of the chimney. 10. A powerplant situated at an altitude having an ambient air of 96.53 KPa and 23.88 degreeCelsius. Flue gases at a rate of 5.0 kg per second enter the stack at 200 degree Celsius andleaves at 160 degree Celsius. The flue gases gravimetric analysis are 18% CO2, 7% O2 and 75%N2. Calculate the height of…