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Quantitative dimensionless measure measure 

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bodyf
of the friction forces between fluid pipe flow  flow and inner inner pipe walls based on the Darcy–Weisbach equationon Darcy–Weisbach equation.

It depends on Reynolds number 

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body\rm Re
and inner pipe walls roughness 
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body\epsilon
  (see Fig. 1):
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body--uriencoded--f =f(%7B\rm Re%7D, \, \epsilon)
.

Image Added

Fig. 1. Schematic chart showing how Darcy friction factor depends on Reynolds number 

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body\rm Re
 and roughness 
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body\epsilon
 (following [1])


In engineering practice one can use either Moody Chart or Darcy friction factor @model to estimate the actual value of Darcy friction factor.


Darcy friction factor 

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bodyf
  takes only positive values 
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bodyf > 0
but has singularity at zero flow velocity: 
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body--uriencoded--%7B\rm Re%7D \rightarrow 0 \Rightarrow f \rightarrow \infty
 which may cause computational challenges.

Using Reduced Friction Factor 

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body--uriencoded--\Phi = f \cdot %7B\rm Re%7D / 64
  instead can help in computations as it stays finite for all finite values of Reynolds number 
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body\rm Re

See also

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Physics / Fluid Dynamics / Pipe Flow Dynamics / Darcy–Weisbach equation 

Darcy friction factor Single-phase @model ] [ Reynolds Number for Multiphase Flow @model ]

[ Moody Chart ] [ Reduced Friction Factor (Φ) ]



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Moody's Chart.xlsx