Bernoulli's Pressure Drop Segregated from Friction Pressure Drop

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Discussion Overview

The discussion centers on calculating pressure drop values caused by friction in water flowing through a smooth pipe, specifically seeking to isolate the friction component from Bernoulli's principle. The scope includes mathematical formulas and references relevant to fluid dynamics and pipe flow analysis.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • Roger seeks a mathematical formula that isolates the friction pressure drop from Bernoulli's principle, indicating a desire for specific calculations related to pipe flow.
  • One participant suggests a reference website, HyperPhysics, as a good general resource for physics-related queries.
  • Another participant recommends the Darcy equation for calculating friction pressure drop and mentions the importance of understanding equivalent restrictions in piping components, referencing the Crane paper as a standard for pipe flow analysis.
  • There is a contention regarding the definition of a "smooth" pipe, with one participant arguing that it implies no surface friction, while another clarifies that a smooth pipe still has a defined surface roughness as indicated in Moody Diagrams.
  • A participant questions the terminology used in physics education regarding "smooth" surfaces and their implications for friction, suggesting a potential misunderstanding based on educational background.

Areas of Agreement / Disagreement

Participants express differing views on the definition of a "smooth" pipe and its implications for friction, indicating a lack of consensus on this terminology. The discussion remains unresolved regarding the precise nature of friction in smooth pipes.

Contextual Notes

There are unresolved assumptions regarding the definitions of "smooth" and "friction" in the context of fluid dynamics, as well as the applicability of various equations and references mentioned.

Roger900
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Hello Physics Masters!

I would like to calculate pressure drop values caused by friction as water flows through a a smooth pipe at different velocities and different internal pipe diameters.

I ONLY want the pressure drop values caused by friction, not the pressure drop values caused by Bernoulli's principle. The mathematical formulas that I have found combine Bernoulli's principle PLUS friction. I only need the friction component.

Can you direct me to a website that would have this information, or provide the friction-only mathematical formula?

Thanks,
Roger
 
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Hi Roger,
I suggest you use the http://www.lmnoeng.com/darcy.htm" equation, but they are not used nearly as much as Darcy Weisbach.

The other question that inevitably follows regards how to determine the equivalent restriction of various piping components such as pipe bends or mitred elbows, valves, orifices, Y's and T's, expansions and contractions, etc... These are all covered by the http://www.tp410.com/tp410.htm" which is also widely renown as the industry standard for doing pipe flow analysis. The Crane paper relies heavily on the Darcy Weisbach equation.

If you do much analysis of pipe losses as an engineer, you will need to become familiar with the Crane paper and the methods it outlines.
 
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Actually I don't think you want a "smooth" pipe as that would imply that there is no surface friction, and the locus of velocity would run perpendicular to its vectorial self.
 
A smooth pipe does not imply zero friction. If you look at any Moody Diagram, there is a line for a smooth surface. It is simply a best case surface roughness.
 
Well do they call them "smooth" pipes or are they just smooth lines on the diagram? From my education if anything in physics was "smooth", it meant that friction was ignored. Unless perhaps this is some esoteric use of the word specific to engineers?
 
Sounds like something specific to your textbook that you used.
 
Thanks for your ideas and comments Hootenanny, Q_Goest, billiards, FredGarvin and KingNothing.

This has helped me a lot.

Roger.
 

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