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, %3D (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?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q3: 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.
wL UL
(a) Use dimensional analysis to show that,
PU3L2
%3D
(b) In a full-scale prototype the current velocity U = 2.0 m/s and the angular
velocity is w = 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?
Transcribed Image Text:Q3: 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. wL UL (a) Use dimensional analysis to show that, PU3L2 %3D (b) In a full-scale prototype the current velocity U = 2.0 m/s and the angular velocity is w = 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?
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