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.