Disjunctive sequence: Difference between revisions

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en>Cooperstimson
→Examples: Generalizing the second example into a third example set to illustrate the variety of disjunctive sequences.
en>R.e.s.
→Examples: The polynomial is evaluated at 1,2,3,..., not at the primes. Also, this is not a third case of the previously cited result.
 
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'''Atkinson friction factor''' is a measure of the resistance to airflow of a duct. It is widely used in the [[Underground mine ventilation|mine ventilation]] industry but is rarely referred to outside of it.
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Atkinson friction factor is represented by the symbol <math>k</math> and has the same units as air density (kilograms per cubic metre in [[SI|SI units]], pounds per cubic foot in [[Imperial unit]]s). It is related to the more widespread [[Fanning friction factor]] by
 
<math>
k = \frac{1}{2}\rho f,
</math>
 
in which <math>\rho</math> is the density of air in the shaft or roadway under consideration and <math>f</math> is Fanning friction factor (dimensionless). It is related to the [[Darcy friction factor]] by
 
<math>
k = \frac{1}{2}\rho \frac{\lambda}{4},
</math>
 
in which <math>\lambda</math> is the Darcy friction factor (dimensionless).
 
It was introduced by John&nbsp;J&nbsp;Atkinson in an early mathematical treatment of mine ventilation (1862) and has been known under his name ever since.
 
==See also==
 
* [[Atkinson resistance]]
 
==References==
 
* NCB Mining Dept., ''Ventilation in coal mines: a handbook for colliery ventilation officers,''  National Coal Board 1979.
 
==Further reading==
* [http://www.mvsengineering.com/admin/images/pdfs/Practical_Values_of_Friction_Factors.pdf 1999 paper giving the derivation of <math>k</math>]
* Atkinson, J J, ''Gases met with in Coal Mines, and the general principles of Ventilation'' Transactions of the Manchester Geological Society, Vol. III, p.218, 1862
 
[[Category:Fluid dynamics]]
[[Category:Mine ventilation]]

Latest revision as of 19:44, 18 May 2014

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