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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 ]
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.
John Thomas Fanning (1837–1911) was an American architect and hydraulic engineer. His contribution to fluid mechanics and hydraulic engineering is in the Fanning friction factor which is used by engineers in the present age to calculate the frictional pressures losses in flows inside pipes.
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.
is the Fanning friction factor, is the length of the duct, is the perimeter of the duct, is the area of the duct, is the velocity of the fluid. The practicalities of mine ventilation led Atkinson to group some of these variables into one all-encompassing term:
Friction factor may refer to: Atkinson friction factor, a measure of the resistance to airflow of a duct; Darcy friction factor, in fluid dynamics; Fanning friction factor, a dimensionless number used as a local parameter in continuum mechanics
= 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.
Fanning may refer to: Fanning (bees), a behaviour of worker bees signalling an entrance to a hive; Fanning (firearms), a shooting technique in which one hand holds a revolver and the other hits the hammer repeatedly; Fanning (surname) Fanning friction factor, a dimensionless number used in fluid flow calculations; Fan dance, a dance art form