Mass rate of flow 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)

W: Width (m)

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

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

Output(s)

$\omega$: Mass Rate of Flow $(\mathrm{kg} / \mathrm{s})$

Formula(s)

$$ \omega=\left(\rho^{2} * \mathrm{~g} * \delta^{3} * \mathrm{~W} * \frac{\cos (\beta)}{3 * \mu}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 2, Page: 46.