Atkinson friction factor

Atkinson friction factor is a measure of the resistance to airflow of a duct. It is widely used in the mine ventilation industry but is rarely referred to outside of it.

Atkinson friction factor is represented by the symbol $k$ and has the same units as air density (kilograms per cubic metre in SI units, pounds per cubic foot in Imperial units). It is related to the more widespread Fanning friction factor by

$k = \frac{1}{2}\rho f,$

in which $\rho$ is the density of air in the shaft or roadway under consideration and $f$ is Fanning friction factor (dimensionless). It is related to the Darcy friction factor by

$k = \frac{1}{2}\rho \frac{\lambda}{4},$

in which $\lambda$ is the Darcy friction factor (dimensionless).

It was introduced by John J Atkinson in an early mathematical treatment of mine ventilation (1862) and has been known under his name ever since.

References

NCB Mining Dept., Ventilation in coal mines: a handbook for colliery ventilation officers, National Coal Board 1979.

Atkinson friction factor

See also

References

Further reading