Fluid kinetic force in conduits

Input(s)

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

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

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

v: Velocity of Fluid $(\mathrm{ft} / \mathrm{s})$

f: Friction Factor (dimensionless)

Output(s)

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

Formula(s)

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

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 6, Page: 178.