QUESTION 4 MULTI-JET PELTON TURBINE Consider the design of a multi-jet Pelton wheel with parameters and operating conditions as given below: Head H = 200 m Flow rate Q = 4 m3/s Nozzle velocity coefficient K = 0.98 Wheel diameter D = 1.47 m Mechanical efficiency ? = 88% The following conditions are desirable: Blade speed to jet speed ratio 0.47 Jet diameter to wheel diameter ratio 0.113 (a) Calculate the wheel rotational speed (rev/min). (b) Calculate the power output (MW). (c) Determine the number of nozzles required. (d) Calculate the specific speed of the machine.
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The jet velocity can be calculated using the formula: \[ V_j = K \sqrt{2gH} \] where \( K = 0.98 \), \( g = 9.81 \, \text{m/s}^2 \), and \( H = 200 \, \text{m} \). Show more…
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QUESTION 4 MULTI-JET PELTON TURBINE Consider the design of a multi-jet Pelton wheel with parameters and operating conditions as given below: Head: H = 200m Flow rate: Q = 4 m^3/s Nozzle velocity coefficient: K = 0.98 Wheel diameter: D = 1.47 m Mechanical efficiency: Ě— = 88% The following conditions are desirable: Blade speed to jet speed ratio: 0.47 Jet diameter to wheel diameter ratio: 0.113 (a) Calculate the wheel rotational speed (rev/min). (b) Calculate the power output (MW). (c) Determine the number of nozzles required. (d) Calculate the specific speed of the machine.
Adi S.
A generator is driven by a small, single-jet Pelton turbine designed to have a power specific speed ΩSP = 0.20. The effective head at nozzle inlet is 120 m and the nozzle velocity coefficient is 0.98. The runner rotates at 880 rev/min, the turbine overall efficiency is 88% and the mechanical efficiency is 96%. If the blade speed to jet speed ratio, θ = 0.47, determine (i) the shaft power output of the turbine; (ii) the volume flow rate; (iii) the ratio of the wheel diameter to jet diameter.
A Pelton wheel is used to produce hydroelectric power. The average radius of the wheel is 1.83 m, and the jet velocity is 102 m/s from a nozzle of exit diameter equal to 10.0 cm. The turning angle of the buckets is ? = 165°. (a) Calculate the volume flow rate through the turbine in m3 /s. (b) What is the optimum rotation rate (in rpm) of the wheel (for maximum power)? (c) Calculate the output shaft power in MW if the efficiency of the turbine is 82 percent
Marinus K.
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