The power P required to turn a ship will depend on its velocity V , its length L, its width B, the water density ρ and viscosity µ, the rate of turning ω, and the acceleration due to gravity g. (a) Express the non-dimensional power in terms of its dependence on the other non-dimensional groups. Show all your working. (b) It is proposed to test a model ship at 1/100th scale. What scaled velocity, kinematic viscosity, and turning rate would be required for the test to be dynamically similar? Do you foresee any possible difficulties in performing this test?
The power P required to turn a ship will depend on its velocity V , its length L, its width B, the water density ρ and viscosity µ, the rate of turning ω, and the acceleration due to gravity g. (a) Express the non-dimensional power in terms of its dependence on the other non-dimensional groups. Show all your working. (b) It is proposed to test a model ship at 1/100th scale. What scaled velocity, kinematic viscosity, and turning rate would be required for the test to be dynamically similar? Do you foresee any possible difficulties in performing this test?
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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The power P required to turn a ship will depend on its velocity V , its length L, its width B, the water density ρ and viscosity µ, the rate of turning ω, and the acceleration due to gravity g.
(a) Express the non-dimensional power in terms of its dependence on the other non-dimensional groups. Show all your working.
(b) It is proposed to test a model ship at 1/100th scale. What scaled velocity, kinematic viscosity, and turning rate would be required for the test to be dynamically similar? Do you foresee any possible difficulties in performing this test?
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