Question on Fluid Pressure in Pipes

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SUMMARY

The discussion centers on fluid pressure behavior in pipes, specifically addressing the pressure drop in a pipe with uniform diameter. It establishes that, unlike the Bernoulli equation which suggests constant pressure, the axial momentum integral indicates a uniform pressure drop along the pipe length. The presence of relative roughness and its associated friction factor is identified as a key reason for this pressure drop, emphasizing the importance of friction in fluid mechanics.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Knowledge of Bernoulli's equation
  • Familiarity with axial momentum concepts
  • Awareness of friction factors and relative roughness in pipes
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  • Research the impact of friction factors on fluid flow in pipes
  • Study the relationship between pipe diameter and pressure drop
  • Explore non-mathematical explanations for pressure changes in fluid systems
  • Learn about the implications of relative roughness in various pipe materials
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Students and professionals in fluid mechanics, engineers designing piping systems, and anyone interested in understanding pressure dynamics in fluid flow.

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Hi, I was doing my fluid mechanics howework, and there was a question that I couln't quite answer.

Assuming that the integral of the axial momentum remains constant along the pipe cross section, the pressure drops uniformly along the pipe length. (Contrary to the Bernulli equation where the pressure is supposed to stay constant)

I was wondering if anyone had a non-mathematical way of explaing why a pressure drop exists in a pipe with uniform diameter..

Thanks, as always.
 
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In all pipes there is a relative roughness which is associated with a friction factor. This friction can cause pressure drops.
 

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