The efficiency of a fan, 7, can be expressed as a function of fan's diameter, D, its angular velocity, w, the discharge, Q, and fluid's kinematic viscosity, v. Derive an expression for efficiency, n, using Buckingham Pi theorem. If a model is being constructed with a model to prototype ratio of 1:20, and assuming that the angular velocity of the prototype is 5 rad/s, what would be the angular velocity of the model? Also, if the discharge is 0.5 m/s for the prototype, what will be the discharge for the model? (Ambient fluid for both model and prototype is air)

The efficiency of a fan, 7, can be expressed as a function of fan's diameter, D, its angular velocity, w, the discharge, Q, and fluid's kinematic viscosity, v. Derive an expression for efficiency, n, using Buckingham Pi theorem. If a model is being constructed with a model to prototype ratio of 1:20, and assuming that the angular velocity of the prototype is 5 rad/s, what would be the angular velocity of the model? Also, if the discharge is 0.5 m/s for the prototype, what will be the discharge for the model? (Ambient fluid for both model and prototype is air)

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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