Film thickness of a falling film on a conical surface
Input(s)
\(\mu\): Viscosity \((\mathrm{cP})\)
w: Mass Rate \((\mathrm{lbs} / \mathrm{s})\)
L: Length (ft)
\(\rho\): Density (lb)
\(\mathrm{g}\): Acceleration of Gravity \(\left(\mathrm{ft} / \mathrm{s}^{2}\right)\)
\(\beta\): Inclination ( \(\mathrm{rad})\)
s: Distance from Cone Apex (ft)
Output(s)
\(\boldsymbol{\delta}\): Film Thickness (ft)
Formula(s)
\[
\delta=\left(\left(\frac{3 * \mu * \mathrm{~L} * \mathrm{w}}{\pi *\left(\rho^{2}\right) * \mathrm{~g} * \mathrm{~L} * \sin (2 * \beta) * \mathrm{~s}}\right)^{\frac{1}{3}}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 71 .