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.