Approximation of friction factor for Laminar Flow

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SUMMARY

The friction factor for laminar flow can be approximated using two formulas: the Darcy friction factor, represented as ƒ = 64/Re, and the Fanning friction factor, represented as ƒ = 16/Re. Both formulas apply when the Reynolds number (Re) is less than or equal to 2,100. The Darcy friction factor is derived from the equation f=(Δp⋅2⋅D)/(L⋅ρ⋅u²), while the Fanning friction factor comes from f=(Δp⋅R)/(L⋅ρ⋅u²). Although they yield different numerical values, they are fundamentally based on the same principles of fluid dynamics.

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  • Understanding of Reynolds number (Re) in fluid dynamics
  • Familiarity with Darcy and Fanning friction factors
  • Knowledge of pressure drop equations in fluid flow
  • Basic concepts of laminar flow characteristics
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Dong Aleta
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Hi!

I read from Perry Green's ChE Handbook that the friction factor for Re ≤ 2,100 can be approximated by ƒ = 16/Re. But there was this question that I encountered (though I don't know the source) and according to it, ƒ = 64/Re for laminar flow. Can someone clarify which is which? Thank you!
 
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The formula f=64/Re is called the Darcy friction factor and is derived from f=(Δp⋅2⋅D)/(L⋅ρ⋅u2)

The formula f=16/Re is called the Fanning friction factor and is derived from f=(Δp⋅R)/(L⋅ρ⋅u2)

Basically they are the same, but different values/dimensions are used to define them
 
stockzahn said:
The formula f=64/Re is called the Darcy friction factor and is derived from f=(Δp⋅2⋅D)/(L⋅ρ⋅u2)

The formula f=16/Re is called the Fanning friction factor and is derived from f=(Δp⋅R)/(L⋅ρ⋅u2)

Basically they are the same, but different values/dimensions are used to define them
I see. That's really confusing. Anyway, thank you!
 

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