03: The power output (P) of a marine current turbine is assumed to be a function of velocity U, blade length L, angular velocity o, fluid density p and kinematic viscosity v. (a) Use dimensional analysis to show that, a =f") PU³L² (b) In a full-scale prototype the current velocity U = 2.0 m/s and the angular velocity is o = 15 rpm. A 1:10 scale laboratory model is to be tested in fluid of the same density with angular velocity o = 60 rpm. What velocity should be used in the model tests? (c) If the power output in the model tests is 200 W, what power output would be expected in the prototype? P Answer: (a) =f (,"), (b) U = 0.8 m/s , (c) P,= 312 kW (pu³L²)

03: The power output (P) of a marine current turbine is assumed to be a function of velocity U, blade length L, angular velocity o, fluid density p and kinematic viscosity v. (a) Use dimensional analysis to show that, a =f") PU³L² (b) In a full-scale prototype the current velocity U = 2.0 m/s and the angular velocity is o = 15 rpm. A 1:10 scale laboratory model is to be tested in fluid of the same density with angular velocity o = 60 rpm. What velocity should be used in the model tests? (c) If the power output in the model tests is 200 W, what power output would be expected in the prototype? P Answer: (a) =f (,"), (b) U = 0.8 m/s , (c) P,= 312 kW (pu³L²)

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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