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The Fanning friction factor (named after American engineer John T. Fanning) is a dimensionless number used as a local parameter in continuum mechanics calculations. It is defined as the ratio between the local shear stress and the local flow kinetic energy density: [1] [2]
If the value of the friction factor is 0.016, then the Fanning friction factor is plotted in the Moody diagram. Note that the nonzero digits in 0.016 are the numerator in the formula for the laminar Fanning friction factor: f = 16 / Re . The procedure above is similar for any available Reynolds number that is an integer power of ten.
Churchill equation [24] (1977) is the only equation that can be evaluated for very slow flow (Reynolds number < 1), but the Cheng (2008), [25] and Bellos et al. (2018) [8] equations also return an approximately correct value for friction factor in the laminar flow region (Reynolds number < 2300). All of the others are for transitional and ...
Assuming the Fanning friction factor is a constant along the duct wall, the differential equation can be solved easily. [2] [3] One must keep in mind, however, that the value of the Fanning friction factor can be difficult to determine for supersonic and especially hypersonic flow velocities.
Fanning friction factor: f: fluid mechanics (fraction of pressure losses due to friction in a pipe; 1/4th the Darcy friction factor) [9] Froude number: Fr = fluid mechanics (wave and surface behaviour; ratio of a body's inertia to gravitational forces) Galilei number: Ga
where is the density of the fluid, is the average velocity in the pipe, is the friction factor from the Moody chart, is the length of the pipe and is the pipe diameter. The chart plots Darcy–Weisbach friction factor f D {\displaystyle f_{D}} against Reynolds number Re for a variety of relative roughnesses, the ratio of the mean height of ...
Fanning friction factor: f: fluid mechanics (fraction of pressure losses due to friction in a pipe; 1/4th the Darcy friction factor) [13] Fourier number: Fo = heat transfer, mass transfer (ratio of diffusive rate versus storage rate) Froude number: Fr
= Fanning friction factor ∑ i e v , i {\displaystyle \sum _{i}e_{v,i}} = Sum of all kinetic energy factors in system Once calculated, the total head loss can be used to solve the Bernoulli Equation and find unknown values of the system.