Average velocity over the cross section of a falling film
Input(s)
\(\rho\): Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
g: Gravitational Acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\)
\(\boldsymbol{\delta}\): Film Thickness \((\mathrm{m})\)
\(\mu\): Viscosity \((\mathrm{kg} /(\mathrm{ms}))\)
\(\beta\): Angle of Inclination w.r.t Direction of Gravity (rad)
\(v_{z, \text { max }}\): The Maximum Velocity at \(\mathrm{x}=0(\mathrm{~m} / \mathrm{s})\)
Output(s)
\(v_{z}\): Average Velocity \((\mathrm{m} / \mathrm{s})\)
Formula(s)
\[
v_{z}=\frac{\rho * g * \delta^{2} * \cos (\beta)}{3 * \mu}
\]
Reference(s)
Bird, R.B., Stewart, W.E., and Lightfoot, E.N. (2002). Transport Phenomena (Second ed.). John Wiley & Sons, Chapter: 2, Page: 45.