User:Huywilliam/sandbox

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: http://app-knovel-com.offcampus.lib.washington.edu/hotlink/pdf/id:kt00C4WXBO/concepts-chemical-engineering/fanning-friction-factor
 * 1) Mohammad,, Khan, Kaleem. Fluid mechanics and machinery. ISBN 9780199456772. OCLC 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:

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

$$f=\frac{\tau_w}{\frac{1}{2}\rho v^2}$$

For laminar flow in a round tube
$$f=\frac{16}{Re}$$

where $$Re$$ is the Reynolds number of the flow

Hydraulically smooth piping:
Blasius (1913) $$2100<Re<10^5$$

$$f=\frac{0.0791}{Re^{0.25}}$$

Koo (1933) $$10^4<Re<10^7$$

$$f=0.0014+\frac{0.125}{Re^{0.32}}$$

Pipes/tubes of general roughness
Haaland (1983) $$4 \centerdot10^4<Re<10^7$$, $$\frac{k}{D}<0.05$$

$$\frac{1}{\sqrt{f}}=-3.6\log_{10}\left [ \frac{6.9}{Re}+\left ( \frac{k/D}{3.7} \right )^{10/9} \right ]$$

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
Drew (1936) $$10^410^4;\frac{k}{D}>0.01$$

$$\frac{1}{\sqrt{f}}=2.28-4.0\log_{10}\left ( \frac{k}{D} \right )$$