Pipe-Line Construction: Dimensional Analysis & Pipe Roughness

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SUMMARY

This discussion focuses on the selection of pipe roughness values for pipeline design using dimensional analysis. The key parameters identified are velocity (V), diameter (D), density (ρ), and viscosity (μ), which are essential for calculating the friction factor related to the Reynolds Number. The conversation confirms that no additional parameters are necessary beyond these for determining the friction in pipes. Reference materials, such as introductory fluid mechanics textbooks, provide graphs that relate Reynolds Number, relative roughness, and friction factor.

PREREQUISITES
  • Understanding of dimensional analysis in fluid mechanics
  • Familiarity with the concept of Reynolds Number
  • Knowledge of fluid properties: density (ρ) and viscosity (μ)
  • Basic principles of pipe flow and friction factors
NEXT STEPS
  • Research the relationship between Reynolds Number and friction factor in pipe flow
  • Study the impact of relative roughness on flow characteristics
  • Examine graphs and charts in fluid mechanics textbooks for practical applications
  • Learn about computational fluid dynamics (CFD) tools for pipeline analysis
USEFUL FOR

Engineers and designers involved in pipeline construction, fluid mechanics students, and professionals seeking to optimize flow characteristics in piping systems.

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.
 

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