Tangential annular flow of a power law fluid
Input(s)
m: Power Law Constant (dimensionless)
n: Power Law Constant 2 (dimensionless)
\(\Omega\) : Colission Integral (dimensionless)
\(\kappa\) : Dilational Viscocity \((\mathrm{cP})\)
\(\mathrm{R}\): Radius (ft)
L: Length \((\mathrm{ft})\)
Output(s)
\(T_{z}\): Torque Exerted \(\left(\mathrm{lb} \mathrm{ft}^{2} / \mathrm{s}^{2}\right)\)
Formula(s)
\[
T_{z}=2 * \pi * m * \Omega *\left(\left(\kappa^{*} R\right)^{2}\right) * L *\left(\left(\frac{\frac{2}{n}}{1-\left(\kappa^{\frac{2}{n}}\right)}\right)^{n}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 8, Page: 244.