(a) Develop an equation by using pi-theorem for the shear stress in a fluid flowing in a pipe assuming that the stress is a function of the diameter and the roughness of the pipe, and the density, viscosity and velocity of the fluid.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q.No.5:
(a) Develop an equation by using pi-theorem for the shear stress in a
fluid flowing in a pipe assuming that the stress is a function of the
diameter and the roughness of the pipe, and the density, viscosity and
velocity of the fluid.
(b) A model of a torpedo is tested in a towing tank at a velocity of
24.4 m/s. The prototype is expected to attain a velocity of 246 m/min in
15.6°C water.
(i) What model scale has been used?
(ii) What would be the model speed it tested in a wind tunnel under a
pressure of 290 psi and at constant temperature 26.77°C?
Transcribed Image Text:Q.No.5: (a) Develop an equation by using pi-theorem for the shear stress in a fluid flowing in a pipe assuming that the stress is a function of the diameter and the roughness of the pipe, and the density, viscosity and velocity of the fluid. (b) A model of a torpedo is tested in a towing tank at a velocity of 24.4 m/s. The prototype is expected to attain a velocity of 246 m/min in 15.6°C water. (i) What model scale has been used? (ii) What would be the model speed it tested in a wind tunnel under a pressure of 290 psi and at constant temperature 26.77°C?
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