Tangential annular flow of a power law fluid

Input(s)

m: Power Law Constant (dimensionless)

n: Power Law Constant 2 (dimensionless)

Ω\Omega : Colission Integral (dimensionless)

κ\kappa : Dilational Viscocity (cP)(\mathrm{cP})

R\mathrm{R}: Radius (ft)

L: Length (ft)(\mathrm{ft})

Output(s)

TzT_{z}: Torque Exerted (lbft2/s2)\left(\mathrm{lb} \mathrm{ft}^{2} / \mathrm{s}^{2}\right)

Formula(s)

Tz=2πmΩ((κR)2)L((2n1(κ2n))n)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.


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