Fluid kinetic force in flow around submerged objects

Input(s)

R: Radius of Sphere $(\mathrm{ft})$

$\rho$: Density of Fluid $\left(\mathrm{lb} / \mathrm{ft}^{3}\right)$ v: Velocity of Fluid (ft/s)

f: Friction Factor (dimensionless)

Output(s)

$\boldsymbol{F}_{\boldsymbol{k}}$: Fluid Kinetic Force (N)

Formula(s)

$$ \mathrm{F}_{\mathrm{k}}=\pi * 0.5 *\left(\mathrm{R}^{2}\right) * \rho *\left(\mathrm{v}^{2}\right) * \mathrm{f} $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons. Chapter: 3, Page: 110.