The power P generated by a certain windmill design depends on its diameter D, the air density p, the wind velocity V, the rotation rate w and the number of blades n. a) Write this relationship in dimensionless form. A model windmill of diameter 50 cm develops 2.7 kW at sea level when V=40 m/s and when rotating at 4800 r/min. b) What power will be developed by a geometrically and dynamically similar prototype,
The power P generated by a certain windmill design depends on its diameter D, the air density p, the wind velocity V, the rotation rate w and the number of blades n. a) Write this relationship in dimensionless form. A model windmill of diameter 50 cm develops 2.7 kW at sea level when V=40 m/s and when rotating at 4800 r/min. b) What power will be developed by a geometrically and dynamically similar prototype,
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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The power P generated by a certain windmill design depends on its diameter D, the air density p, the wind velocity V, the rotation rate w and the number of blades n. a) Write this relationship in dimensionless form. A model windmill of diameter 50 cm develops 2.7 kW at sea level when V=40 m/s and when rotating at 4800 r/min. b) What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 12 m/s at 2000 m standard altitude? c)What is the appropriate rotation rate of the prototype?
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