Friction factor in flow around submerged objects

Input(s)

g: Gravitational Acceleration $\left(\mathrm{ft} / \mathrm{s}^{2}\right)$

v: Fluid Velocity (ft/s)

D: Diameter $(\mathrm{ft})$

$\rho$: Fluid Density $(\mathrm{g} / \mathrm{cc})$

$\rho_{s p h}$: Density of Sphere $(\mathrm{g} / \mathrm{cc})$

Output(s)

f: Friction Factor (dimensionless)

Formula(s)

$$ \mathrm{f}=\left(\frac{4 * \mathrm{~g} * \mathrm{D}}{3 * \mathrm{v}^{2}}\right) *\left(\frac{\rho_{\mathrm{sph}}-\rho}{\rho}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 6, Page: 179.