Film thickness of a falling film on a conical surface

Input(s)

μ\mu: Viscosity (cP)(\mathrm{cP})

w: Mass Rate (lbs/s)(\mathrm{lbs} / \mathrm{s})

L: Length (ft)

ρ\rho: Density (lb)

g\mathrm{g}: Acceleration of Gravity (ft/s2)\left(\mathrm{ft} / \mathrm{s}^{2}\right)

β\beta: Inclination ( rad)\mathrm{rad})

s: Distance from Cone Apex (ft)

Output(s)

δ\boldsymbol{\delta}: Film Thickness (ft)

Formula(s)

δ=((3μ Lwπ(ρ2) g Lsin(2β) s)13)\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 .


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