QUESTION 01 1.1 In a hydro-electric scheme/plant five (5) Pelton wheels are to be used under the following design and installation conditions: 30 MW Output power required 245 m Gross vertical head 375 rev/min Rotational speed of the shaft 2 off (two) Number of jets per Pelton Wheel 81,5 % Maximum operating overall efficiency Unknown 12 Head lost to friction in pipeline not exceed 0,46 The ratio of the bucket speed to the jet speed 0,85 The relative velocity at exit to the relative velocity at entry 0.98 Coefficient of velocity 165° Given that the biade deflect the water at angle Determine: 1.1.1 The overall flow rate throughout the system. 1.1.2 The actual velocity of each jet. 1.1.3 The diameter of each jet. 1.1.4 The diameter of each wheel. 1.1.5 The hydraulic efficiency of the turbine. 1.1.6 The value of the absolute velocity of the water as it leaves the turbine buckets ( .1.7 The percentage of the input power that remains as kinetic energy of the water at

QUESTION 01 1.1 In a hydro-electric scheme/plant five (5) Pelton wheels are to be used under the following design and installation conditions: 30 MW Output power required 245 m Gross vertical head 375 rev/min Rotational speed of the shaft 2 off (two) Number of jets per Pelton Wheel 81,5 % Maximum operating overall efficiency Unknown 12 Head lost to friction in pipeline not exceed 0,46 The ratio of the bucket speed to the jet speed 0,85 The relative velocity at exit to the relative velocity at entry 0.98 Coefficient of velocity 165° Given that the biade deflect the water at angle Determine: 1.1.1 The overall flow rate throughout the system. 1.1.2 The actual velocity of each jet. 1.1.3 The diameter of each jet. 1.1.4 The diameter of each wheel. 1.1.5 The hydraulic efficiency of the turbine. 1.1.6 The value of the absolute velocity of the water as it leaves the turbine buckets ( .1.7 The percentage of the input power that remains as kinetic energy of the water at

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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In a hydro-electric scheme/plant five (5) Pelton wheels are to be used under the following design and installation conditions: Output power required 28 MW Gross vertical head 271m Rotational speed of the shaft 375 rev/min Number of jets per Pelton Wheel 2 off (two) Maximum operating overall efficiency 75.1 % Head lost to friction in pipeline not exceed Unknown The ratio of the bucket speed to the jet speed 0,46 The relative velocity at exit to the relative velocity at entry 0,85 165° Given that the blade deflect the water at angle Determine: The overall flow rate throughout the system. Om /s Ocm/s Cmm/s Answer:
Answer The following A twin jet Pelton wheel is required to generate 7500 KW when the available head at a nozzle is 400 m. Assuming generator efficiency of 95% overall wheel efficiency of 80% , coefficient of velocity as 0.98, speed ratio as 0.46, reduction in relative velocity while passing through bucket as 15% and taking that the jet is deflected through 165 by the bucket, the diameter of each jet O 13.69 cm 18.84 cm 20.21 cm 10.54 cm
1- A double jet of Pelton turbine driven by double nozzles to produce (4250 kw) to the shaft of an electrical generator when running at (400 rpm). The height of (180 m). wheel diameter is (1450 mm). The velocity of relative= 0.9 of jet velocity. If the angle of bucket is (165'), determine: a) Hydraulic efficiency b) Diameter of the jet
Considering the wind speed of 5 m/s, air density of 1 kg/m3, exponentfactor is 0.20 and turbine diameter of 100 m:a. Calculate the turbine electrical power considering the maximumBitz limit,b. The original wind speed was taken at a height of 10 m,calculate the turbine power if it is now installed at 50 m height.c. In what condition a capacity factor of 73% can be reached bythis turbine.
A Pelton wheel works under a net head of 600 m and it runs at a speed of 720 rpm. The mean pitch dlameter of runner is 1.2 m. For a discharge rate of 0.2m/s, find the power available at the nozzle and hydraulle efficiency of turbine. Assume : C, = 0.98, side clearance angle of buckets = 20, Friction factor of bucket = 0.9.
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…
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…
A two-jet Pelton wheel is required to produce 2MW power with 400rpm. The diameter of the wheel is 1.5m. Gross head measure from the water surface in reservoir to the nozzle is 200m. Head loss in the penstock and nozzle is 10% and the deflected velocity by the bucket reduced 10%. If the deflected angle is 1650, determine; a) Nozzle head b) Euler Head c) Velocity ratio d) Diameter of jet
A twin jet Pelton wheel is required to generate 7500 KW when the available head at a nozzle is 400 m. Assuming generator efficiency of 95% overall wheel efficiency of 80% , coefficient of velocity as 0.98, speed ratio as 0.46, reduction in relative velocity while passing through bucket as 15% and taking that the jet is deflected through 165 by the bucket, total flow is 2516 lit/sec O 3452 lit/sec 17834 lit/sec 11987 lit/sec
Discuss Brayton and Rankine cycles
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1. A Pelton wheel of 4 m diameter operates with a head of 1000 m. Estimate the flow rate and power output of the machine, assuming that it operates at peak efficiency and there are no losses in the flow upstream of the turbine. 2. A Pelton wheel operates with a head of 400 m at 350 rpm, and it is powered by a jet 12 cm in diameter. Find the specific speed (U.S. customary units), and the wheel diameter, if there are no losses in the flow upstream of the turbine and it operates at peak efficiency.