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Robert Haas edited this page Apr 21, 2020 · 1 revision

Methods in PipeFlow.ino

Fanning friction factor

Description: Friction factor due to Fanning for laminar flow
In Sourcecode: FrictionFactor < CalcMethod::Fanning>
Formula: $f=\frac{64}{Re}$
Link: https://en.wikipedia.org/wiki/Fanning_friction_factor

Colebrook friction factor

Description: Friction factor due to Colebrook for turbulent flow
In Sourcecode: FrictionFactor < CalcMethod::Colebrook>
Formula: The implicit equation ![\frac{1}{\sqrt{f}}= -2 \cdot \log_{10}(\frac{k}{3.7\cdot D} + \frac{2.51}{(Re \sqrt{f}})](https://render.githubusercontent.com/render/math?math=%5Cfrac%7B1%7D%7B%5Csqrt%7Bf%7D%7D%3D%20-2%20%5Ccdot%20%5Clog_%7B10%7D(%5Cfrac%7Bk%7D%7B3.7%5Ccdot%20D%7D%20%2B%20%5Cfrac%7B2.51%7D%7B(Re%20%5Csqrt%7Bf%7D%7D)) will be solved for the friction factor f
Link: https://de.wikipedia.org/wiki/Rohrreibungszahl

Churchill friction factor

Description: Friction factor due to Churchill for laminar and turbulent flow
In Sourcecode: FrictionFactor < CalcMethod::Churchill>
Formula: $f=((\frac{8}{Re})^{12} + \frac{1}{(A+ B)^{1.5}})^{1/12}$ where
- $A=(2.457\cdot \ln (\frac{1}{(\frac{7}{Re})^{0.9}}+ 0.27\cdot \frac{k}{D}))^{16}$
- $B=(\frac{37530}{Re})^{16}$
Link: https://en.wikipedia.org/wiki/Darcy_friction_factor_formulae#Table_of_Approximations
PressureDifference < CalcMethod::HagenPoiseuille> : Pressure difference due to Hagen-Poiseuille, only for laminar, stationary and fully-developed flow
PressureDifference < CalcMethod::DarcyWeisbach> : Pressure difference due to Darcy-Weisbach for laminar and turbulent flow (if mean velocity is used for w)
PressureDifference < CalcMethod::Any> : Use of both methods (or may be further different ones) for calculating the pressure difference including distiction between laminar and turbulent flow.
MeanVelocity < CalcMethod::Colebrook> : Mean velocity due to transfored Colebrook equation, can only be used in turbulent case
MeanVelocity < CalcMethod::HagenPoiseuille> : Mean velocity due to transfored Hagen-Poiseuille equation for laminar flow
MeanVelocity < CalcMethod::Any> : Coupled formulae to cover laminar and turbulent flow