The z component of the force of the fluid on the wetted surface of the pipe

Input(s)

po: Pressure at initial point $(\mathrm{Pa})$

$\mathrm{pL}$: Pressure at point $\mathrm{L}(\mathrm{Pa})$

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

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

$\rho$: Density $\left(\mathrm{kg} / \mathrm{m}^{3}\right)$

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

Output(s)

Fz: z-Component of Force (Newton)

Formula(s)

$$ F z=\pi * R^{2} *(p o-p L)+\pi * R^{2} * L * \rho * g $$

Reference(s)

Transport Phenomena, Second Edition, Bird, Page: 51.