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Task 3 If you feel that the scaled test condition in the previous question does not represent a realistic simulation of the potential power output and operating speed of the full-size turbine, you are right and your engineering intuition is good! For experiments with a large scaling factor, it is not uncommon to use a different fluid for the scaled tests which enable parameters like Reynolds number to be more easily matched. Designers have estimated that the full-sized turbine in question 1 should generate 125 kW when operating in air at a rotary speed of 1.6 radians/s and an air speed of 7 m/s. To validate this, they are going to test the smaller 250 mm diameter rotor in question 1 using water as the working fluid instead of air. a) What water speed and rotor speed would be required in the scaled experiments to match the dimensionless parameters on the full-sized rotor operating in air? b) What power would you expect to be generated by the scaled down rotor? (Note: Take the viscosity and density of water to be 1 x 10³ Pa.s and 1000 kg/m³ respectively.)

Task 3 If you feel that the scaled test condition in the previous question does not represent a realistic simulation of the potential power output and operating speed of the full-size turbine, you are right and your engineering intuition is good! For experiments with a large scaling factor, it is not uncommon to use a different fluid for the scaled tests which enable parameters like Reynolds number to be more easily matched. Designers have estimated that the full-sized turbine in question 1 should generate 125 kW when operating in air at a rotary speed of 1.6 radians/s and an air speed of 7 m/s. To validate this, they are going to test the smaller 250 mm diameter rotor in question 1 using water as the working fluid instead of air. a) What water speed and rotor speed would be required in the scaled experiments to match the dimensionless parameters on the full-sized rotor operating in air? b) What power would you expect to be generated by the scaled down rotor? (Note: Take the viscosity and density of water to be 1 x 10³ Pa.s and 1000 kg/m³ respectively.)

Elements Of Electromagnetics
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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Please just solve for the Task 3,i will be very very very appreciate!!!

Please just solve for the Task 3,i will be very very very appreciate!!!

Please just solve for the Task 3,i will be very very very appreciate!!!

Please just solve for the Task 3,i will be very very very appreciate!!!

Please just solve for the Task 3,i will be very very very appreciate!!!

Please just solve for the Task 3,i will be very very very appreciate!!!

Please just solve for the Task 3,i will be very very very appreciate!!!

Task 2 The performance of a wind turbine is believed to depend on the following parameters: Wind speed U ● ● ● ● Angular velocity of rotor Rotor diameter Chord length Pitch of blades Density of air flow Power generated W Φ C р P W • Viscosity of air H (Note: The pitch of the blade is the distance it would advance through the fluid per revolution, without slip.) a) Find a full set of dimensionless parameters which define the operation of the unit. Wind tunnel power tests have been performed on a blade set with the following characteristics: Wind speed 19 m/s Angular velocity of rotor 524 rad/s Rotor diameter 0.25 m Chord length Pitch of blades Density of air flow Power generated Viscosity of air 0.025 m 0.216 m 1.2 kg/m³ 44 W 1.8 x 10-5 Pa.s Design Engineers intend to use these results to find the power output of an identical unit when scaled up to a rotor diameter of 40 m, also using air, and conserving all dimensionless parameters. b) What air speed and rotor speed would be needed to achieve this? c) What power would the larger rotor set generate?
Transcribed Image Text:Task 2 The performance of a wind turbine is believed to depend on the following parameters: Wind speed U ● ● ● ● Angular velocity of rotor Rotor diameter Chord length Pitch of blades Density of air flow Power generated W Φ C р P W • Viscosity of air H (Note: The pitch of the blade is the distance it would advance through the fluid per revolution, without slip.) a) Find a full set of dimensionless parameters which define the operation of the unit. Wind tunnel power tests have been performed on a blade set with the following characteristics: Wind speed 19 m/s Angular velocity of rotor 524 rad/s Rotor diameter 0.25 m Chord length Pitch of blades Density of air flow Power generated Viscosity of air 0.025 m 0.216 m 1.2 kg/m³ 44 W 1.8 x 10-5 Pa.s Design Engineers intend to use these results to find the power output of an identical unit when scaled up to a rotor diameter of 40 m, also using air, and conserving all dimensionless parameters. b) What air speed and rotor speed would be needed to achieve this? c) What power would the larger rotor set generate?
Task 3 If you feel that the scaled test condition in the previous question does not represent a realistic simulation of the potential power output and operating speed of the full-size turbine, you are right and your engineering intuition is good! For experiments with a large scaling factor, it is not uncommon to use a different fluid for the scaled tests which enable parameters like Reynolds number to be more easily matched. Designers have estimated that the full-sized turbine in question 1 should generate 125 kW when operating in air at a rotary speed of 1.6 radians/s and an air speed of 7 m/s. To validate this, they are going to test the smaller 250 mm diameter rotor in question 1 using water as the working fluid instead of air. a) What water speed and rotor speed would be required in the scaled experiments to match the dimensionless parameters on the full-sized rotor operating in air? b) What power would you expect to be generated by the scaled down rotor? (Note: Take the viscosity and density of water to be 1 x 10³ Pa.s and 1000 kg/m³ respectively.)
Transcribed Image Text:Task 3 If you feel that the scaled test condition in the previous question does not represent a realistic simulation of the potential power output and operating speed of the full-size turbine, you are right and your engineering intuition is good! For experiments with a large scaling factor, it is not uncommon to use a different fluid for the scaled tests which enable parameters like Reynolds number to be more easily matched. Designers have estimated that the full-sized turbine in question 1 should generate 125 kW when operating in air at a rotary speed of 1.6 radians/s and an air speed of 7 m/s. To validate this, they are going to test the smaller 250 mm diameter rotor in question 1 using water as the working fluid instead of air. a) What water speed and rotor speed would be required in the scaled experiments to match the dimensionless parameters on the full-sized rotor operating in air? b) What power would you expect to be generated by the scaled down rotor? (Note: Take the viscosity and density of water to be 1 x 10³ Pa.s and 1000 kg/m³ respectively.)
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