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I plan to add some formula deviations to the article, conventional units used in SI and English systems. If possible, I want to mention some applications to the topic, and a graph to show correlation between Fanning friction factor and Re number, i.e. how to estimate value for f in different regimes of Re numbers.

sources:

  1. Mohammad,, Khan, Kaleem. Fluid mechanics and machineryISBN 9780199456772OCLC 927946607
  2. Simons, Stefaan J.R.. (2007). Concepts of Chemical Engineering 4 Chemists - 3.6.1.1 Fanning Friction Factor. Royal Society of Chemistry. Online version available at:

http://app-knovel-com.offcampus.lib.washington.edu/hotlink/pdf/id:kt00C4WXBO/concepts-chemical-engineering/fanning-friction-factor

3. Ellenberger, J. Phillip. (2014). Piping and Pipeline Calculations Manual - Construction, Design Fabrication and Examination (2nd Edition) - 4.5 Friction Factor. Elsevier. Online version available at:

http://app-knovel-com.offcampus.lib.washington.edu/hotlink/pdf/id:kt00U13XV4/piping-pipeline-calculations/friction-factor

4. Chhabra, R.P. Richardson, J.F.. (2008). Non-Newtonian Flow and Applied Rheology - Engineering Applications (2nd Edition) - 3. Flow in Pipes and in Conduits of Non-Circular Cross-Sections. Elsevier. Online version available at:

http://app-knovel-com.offcampus.lib.washington.edu/hotlink/pdf/id:kt006QSGS3/non-newtonian-flow-applied/flow-in-pipes-in-conduits Huywilliam (talk) 05:42, 24 January 2017 (UTC)

Definition

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Fanning friction factor is defined as a dimensionless ratio between the shear stress and the kinetic energy density of the fluid

Symbol Description SI unit British unit
fanning friction factor N/A N/A
pipe shear stress at the wall
density of the fluid
average fluid velocity

Algebraic representations

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For laminar flow in a round tube

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where is the Reynolds number of the flow

For turbulent flow in a round tube

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Hydraulically smooth piping:

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Blasius (1913)

Koo (1933)

Pipes/tubes of general roughness

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Haaland (1983) ,

https://app-knovel-com.offcampus.lib.washington.edu/web/view/swf/show.v/rcid:kpIFEE0005/cid:kt00CBU222/viewerType:pdf/root_slug:introduction-food-engineering?cid=kt00CBU222&page=2&q=fanning%20friction%20chart&b-q=fanning%20friction%20chart&sort_on=default&b-subscription=TRUE&b-group-by=true&b-search-type=tech-reference&b-sort-on=default&scrollto=the%20Fanning%20fric

Commercial standard steel piping

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Drew (1936)

Fully rough conduits

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Nikuradse and Reichert (1943)