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A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.?
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A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Wate...
Given data:
- Wheel diameter (D) = 1.2 m
- Rotational speed (N) = 600 rpm
- Water flow rate (Q) = 0.6 m3/s
- Head (H) = 450 m
- Bucket deflection angle (θ) = 160 degrees
- Coefficient of velocity (Cv) = 0.97
Calculations:
1. Power developed by the turbine:
The power developed by the Pelton wheel turbine can be calculated using the formula:
\[ P = ρ Q g H \]
Where,
- ρ = Density of water = 1000 kg/m3
- g = Acceleration due to gravity = 9.81 m/s2
Substitute the given values to get:
\[ P = 1000 × 0.6 × 9.81 × 450 = 2646000 \, W \]
2. Hydraulic efficiency of the turbine:
The hydraulic efficiency (ηh) of the Pelton wheel turbine can be calculated using the formula:
\[ ηh = (Pactual / Pwater) × 100 \]
Where,
- Pactual = Actual power developed by the turbine
- Pwater = Water power available at the inlet of the turbine
Substitute the given values to get:
\[ Pwater = ρ Q g H = 1000 × 0.6 × 9.81 × 450 = 2646000 \, W \]
Therefore, ηh = (2646000 / 2646000) × 100 = 100%
Therefore, the power developed by the Pelton wheel turbine is 2,646,000 W and the hydraulic efficiency of the turbine is 100%.
- Wheel diameter (D) = 1.2 m
- Rotational speed (N) = 600 rpm
- Water flow rate (Q) = 0.6 m3/s
- Head (H) = 450 m
- Bucket deflection angle (θ) = 160 degrees
- Coefficient of velocity (Cv) = 0.97
Calculations:
1. Power developed by the turbine:
The power developed by the Pelton wheel turbine can be calculated using the formula:
\[ P = ρ Q g H \]
Where,
- ρ = Density of water = 1000 kg/m3
- g = Acceleration due to gravity = 9.81 m/s2
Substitute the given values to get:
\[ P = 1000 × 0.6 × 9.81 × 450 = 2646000 \, W \]
2. Hydraulic efficiency of the turbine:
The hydraulic efficiency (ηh) of the Pelton wheel turbine can be calculated using the formula:
\[ ηh = (Pactual / Pwater) × 100 \]
Where,
- Pactual = Actual power developed by the turbine
- Pwater = Water power available at the inlet of the turbine
Substitute the given values to get:
\[ Pwater = ρ Q g H = 1000 × 0.6 × 9.81 × 450 = 2646000 \, W \]
Therefore, ηh = (2646000 / 2646000) × 100 = 100%
Therefore, the power developed by the Pelton wheel turbine is 2,646,000 W and the hydraulic efficiency of the turbine is 100%.
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A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.?
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A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.?.
A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.?.
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A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.?, a detailed solution for A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.? has been provided alongside types of A Pelton wheel having wheel diameter of 1.2 m rotates at 600 rpm. Water is supplied at the rate of 0.6 m3/s under a head of 450 m. If the buckets deflect the jet through an angle of 1600, find the power developed and hydraulic efficiency of the turbine. Assume Cv = 0.97, neglect friction loss in the buckets.? theory, EduRev gives you an
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