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 .