Viscous force acting on the rod over the narrow annular region
Input(s)
L: Length \((\mathrm{ft})\)
\(\mu\) : Viscosity \((\mathrm{cP})\)
\(v_{o}\): Velocity \((\mathrm{ft} / \mathrm{s})\)
\(\kappa\): Ratio of Inner to Outer Ratio (fraction)
Output(s)
F: Force (N)
Formula(s)
\[
F=\frac{-2 * \pi * L * \mu * v_{o}}{\ln \left(\frac{1}{\kappa}\right)}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 65.