Exercise 13.8: cold air at 5°C is carried by a rectangular duct 30 cm X 20 cm in size which is maintained at 15°C over the whole surface. The velocity of the air is 10 m/sec. taking the following properties of air at a mean temperature of 10°C, find the heat gained by the airv when it is passed through 10 m length of duct
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- A horizontal axis wind turbine with a 35-m diameter rotor is 40% efficient at 7.5 m/s winds and at 1 atm of pressure and 15° C. (a) How much power would it produce at these conditions? (b) What would the air density be on the peak of Mount Robson in the Rainbow Range which has an elevation of 3954 m at -8.5° C? (c) Determine the power the wind turbine would produce on the mountain with the same wind speed. Assume that the efficiency of the turbine is not affected by density and the coefficient of friction is the same at both altitudes. Is it beneficial to build the turbine on top of this mountain?The average wind speed at a proposed HAWT wind farm site is 12.5 m/s. The power coefficient of each wind turbine is predicted to be 0.41, and the combined efficiency of the gearbox and generator is 92 percent. Each wind turbine must produce 2.5 MW of electrical power when the wind blows at 12.5 m/s. (a) Calculate the required diameter of each turbine disk. Take the average air density to be ? = 1.2 kg/m3 . (b) If 30 such turbines are built on the site and an average home in the area consumes approximately 1.5 kW of electrical power, estimate how many homes can be powered by this wind farm, assuming an additional efficiency of 96 percent to account for the powerline losses.In Batangas, one of its power plant has been thoroughly monitored for a possible conversion into a wind power plant. A propeller wind turbine is to be used. Survey showed that Batangas City has an average air velocity of10km/hr at 30 . The existing power plant has an output of 30MW. For the proposed wind power, the mechanical electrical efficiency is 70%. And the impeller diameter is assumed not more than 10m. Determine the following:a. Theoretical Wind Power Outputb. Electrical Power Outputc. Number of turbines to be installed
- A wind turbine generator system having a diameter of 82.5 m produces 1.5 MW at a wind speed of 12 m/s. Determine the diameter of blade necessary to produce 10 MW of power assuming the efficiency is the same for both designs and p = 1.21 kg/m3 for air.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 the stack necessary for a driving pressure of 0.20 KPaKindly answer all please. Thank you3.0 Consider two cases involving parallel flow of dry air at V=V= 1.5 m/s, T∞=T∞=45°C, and atmospheric pressure over an isothermal plate at Ts=Ts=20°C. In the first case, Rex,c=Rex,c=5 × 105, while in the second case the flow is tripped to a turbulent state at x=x=0 m. At what xx‐location, in m, are the thermal boundary layer thicknesses of the two cases equal? What are the local heat fluxes, in W/m2, at this location for the two cases?
- Water discharges from a reservoir A through a 100 mm pipe 15 m long which rises to its highest point at B, 1.5 m above the free surface of the reservoir, and discharges direct to the atmosphere at C, 4 m below the free surface at A. The length of pipe h from A to B is 5 m and the length of pipe h from B to C is 10 m. Both the entrance and exit of the pipe are sharp and the value of fis 0.08. Calculate (a) the mean velocity of the water leaving the pipe at C and (b) the pressure in the pipe at BPls show detailed solution Example 2.2A typical industrial-scale wind turbine has a peak efficiency of about 0.44 for a wind speed of 9 m·s−1. That is, it converts about 44% of the kinetic energy of the wind approaching it into usable electrical energy. The total air flow impinging on such a turbine with a rotor diameter of 43 m is about 15,000 kg·s−1 for the given wind speed. a) How much electrical energy is produced when 1 kg of air passes through the turbine?(b) What is the power output of the turbine?(c) If there is no heat transferred to the air, and if its temperature remains unchanged, what is its change in speed upon passing through the turbine?Imagine a plate 1 m long by 1 m wide at a temperature of 80 °C. Water is passed over its surface at a speed of 1 m/s with a temperature of 40 °C.Calculate the heat dissipated by the plate. Assume the following properties of water at 60 °C: k=0.651 W/mK, Pr=3.02, v =0.478 x 10-6 m²/s.
- In Rizal province, one of its power plants has been thoroughly monitored for possible conversion into a wind power plant. A propeller wind turbine is to be used. Survey showed that Rizal Province at a height of 10 meters above the ground has a minimum wind speed of 7.1 miles per hour duringthe month of June and a maximum wind speed of 12.9 miles per hour during the month of January. The minimum temperature is at 75 degree Fahrenheit during the month of January and maximum temperature is at 89 degree Fahrenheit during the month of May. The existing power plant has an output of 54MW. For the proposed wind power, the power coefficient of turbine is 35% and the generator efficiency is 95%. Theimpeller diameter is assumed not to exceed 90m. Determine the following:a. Theoretical Wind Power Outputb. Electrical Power Outputc. Number of turbines to be installedA chair lift is to be installed from the surface down to a depth of 150 m. The inclination is 17 degrees to the horizontal. An operating velocity is to be used, and the system will be required to transport 300 persons per hour. Assuming the worst-case scenario, namely that no persons travel down while the system has a full load traveling up, determine: 1. the spacing of thr chairs 2. the traveling time per person 3. the output power of the motor required to drive the system Perfomance criteria: A force criteria: A force of 2 kN per 100 m of the length of the loaded part of the system is required to overcome friction. Mass per person: 70 kg Overall mechanical efficiency: 85%The known mean velocity is 15.6 mph at a site at a height of 31 ft (about 10m). Approximate the wind velocity at a height of 100ft (about 30 m) at site located in the suburban (use p =0.30). a.217.56 mph b.22.17 mph c.None of these d.21.76 mph e.21.96 mph