Q3: The power output (P) of a marine current turbine is assumed to be a functionof velocity U, blade length L, angular velocity o, fluid density p and kinematicviscosity 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 angularvelocity is w = 15 rpm. A 1:10 scale laboratory model is to be tested in fluidof the same density with angular velocity o = 60 rpm. What velocity shouldbe used in the model tests?(c) If the power output in the model tests is 200 W, what power output wouldbe expected in the prototype?

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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?

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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