Maximum velocity of a falling film

Input(s)

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

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

$\delta$: Film Thickness (m)

$\beta$: Angle of Inclination w.r.t. Direction of Gravity (rad)

$\mu$: Viscosity $(\mathrm{kg} /(\mathrm{ms}))$

Output(s)

$V_{\text {zmax }}$: Maximum Velocity $(\mathrm{m} / \mathrm{s})$

Formula(s)

$$ \mathrm{V}_{\mathrm{zmax}}=\frac{\rho * \mathrm{~g} *\left(\delta^{2}\right) * \cos (\beta)}{2 * \mu} $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 2, Page: 45.