Consider a fully-developed flow of a fluid in a round pipe. The shear stress acting on the pipe wall Tw depends on the following parameters: average fluid speed V, average wall roughness height ɛ, fluid density p, fluid viscosity u, and pipe diameter D. Develop a non-dimensional relationship between shear stress Tw and the other parameters in the problem. Note that it is not desirable to have H or ɛ appear in all the II groups.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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4. Consider a fully-developed flow of a fluid in a round pipe. The shear stress acting on the pipe wall
Tw depends on the following parameters: average fluid speed V, average wall roughness height ɛ,
fluid density p, fluid viscosity u, and pipe diameter D. Develop a non-dimensional relationship
between shear stress Tw and the other parameters in the problem. Note that it is not desirable to have
u or e appear in all the II groups.
Answers:
3. P = -p(x² + y²) + 6x + 8y + gz + Po.
(Re,)
Brw
4.
Transcribed Image Text:4. Consider a fully-developed flow of a fluid in a round pipe. The shear stress acting on the pipe wall Tw depends on the following parameters: average fluid speed V, average wall roughness height ɛ, fluid density p, fluid viscosity u, and pipe diameter D. Develop a non-dimensional relationship between shear stress Tw and the other parameters in the problem. Note that it is not desirable to have u or e appear in all the II groups. Answers: 3. P = -p(x² + y²) + 6x + 8y + gz + Po. (Re,) Brw 4.
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