Which Formula for Friction Factor in Rough and Smooth Pipes?

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SUMMARY

The discussion centers on determining the appropriate formula for calculating the friction factor in both rough and smooth pipes using the von Karman and Prandtl laws. The user has calculated a friction factor of 0.017 for a rough pipe and 0.014 for a smooth pipe. The key question is which value to use when the pipe type is unspecified. The recommendation is to calculate both values and compare them, while also considering the Reynolds number (Re) for a comprehensive analysis.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically the concepts of friction factor and Reynolds number.
  • Familiarity with the von Karman and Prandtl equations for friction factor calculation.
  • Proficiency in using scientific calculators for logarithmic calculations.
  • Knowledge of pipe roughness and its impact on fluid flow.
NEXT STEPS
  • Research the application of the von Karman equation for friction factor in turbulent flow.
  • Study the Prandtl equation and its relevance in calculating friction factors for smooth pipes.
  • Learn how to calculate the Reynolds number (Re) and its significance in fluid dynamics.
  • Explore the impact of pipe roughness on flow characteristics and friction factor determination.
USEFUL FOR

Engineers, fluid dynamics students, and professionals involved in pipeline design and analysis will benefit from this discussion, particularly those focused on calculating friction factors in various pipe conditions.

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Homework Statement


there are 2 formula of vont karman and prandit laws to find the friction factorfor rough pipe and smooth pipe , which formula should i use for this question?
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P/ s : I'm asked to find the friction factor using the vont karman and prandit laws.

Homework Equations

The Attempt at a Solution

 
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it didnt stated whether it's smooth or rough pipe , which formula should we use?
 
I was going to propose you do both (assuming some reasonable ##e## for galvanized ion pipe ) and compare ... :smile:

On the other hand, you do have the data to calculate Re so I certainly wouldn't leave out that one...
 
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BvU said:
I was going to propose you do both (assuming some reasonable ##e## for galvanized ion pipe ) and compare ... :smile:

On the other hand, you do have the data to calculate Re so I certainly wouldn't leave out that one...
well , i have found that the f for rough pipe is 0.017 , nut i am not sure how to find f for smooth pipe using von karman and Prandlt laws ... for smooth pipe , i have 1 / ( surd f ) = 2 log [(3.72 x 10^5) (surd f ) / 2.51 ]

P/ s: by using scientific calculator , i get the f for smooth pipe is 0.014 , which value should i choose ? f= 0.017 or 0.014 ?
 
Edit : Duplicate information removed .
 
Last edited:
Nidum said:
Edit : Duplicate information removed .
so , do you have any comment on this question / which is correct ?
 

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