Pipe-Line Construction: Dimensional Analysis & Pipe Roughness

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Mech-Master
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I'm designing a pipe-line and need to choose a specific value for pipe roughness. I'm trying to do dimensional analysis to find the needed pi groups.

That's what I did

ε (roughness of the pipe) = fcn(V,D, ρ μ)

V = Velocity

D = Diameter

ρ = density

μ = viscosity


Is there anything else I'm actually missing?
 
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If I recall correctly, friction in pipes has to do with the Reynolds Number (which is basically what you're going to find with those). There shouldn't really be any other parameters to consider. You can find graphs relating Reynolds #, relative roughness, and friction factor -- there are even some in my intro fluids book.

Does that answer your question?
 
Thanks for your message.