Film condensation on vertical pipes
Input(s)
k: Thermal Conductivity \((\mathrm{W} / \mathrm{mK})\)
\(\rho\): Density \((\mathrm{g} / \mathrm{cc})\)
g: Acceleration due to Gravity \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\)
\(\boldsymbol{H}_{v a p}\): Heat of Vaporization \((\mathrm{N})\)
\(\mu\): Viscosity (cP)
L: Length (m)
Td: Dew Point Temperature (K)
To: Outlet Temperature (K)
Output(s)
\(\boldsymbol{h}_{\boldsymbol{m} \boldsymbol{l}}\): Laminar Coefficient of Heat Transfer (W/m K)
\(\boldsymbol{h}_{\boldsymbol{m} \boldsymbol{t}}\): Turbulent Coefficient of Heat transfer \((\mathrm{W} / \mathrm{m} \mathrm{K})\)
Formula(s)
\[
\begin{aligned}
& h_{m l}=\left(\frac{2 *(\sqrt{2})}{3}\right) *\left(\left(\frac{\left(k^{3}\right) *(\rho * 2) * g * H_{v a p}}{\left(\mu^{3}\right) *(T d-T o) * L}\right)^{0.25}\right) \\
& h_{m t}=0.003 *\left(\left(\frac{\left(k^{3}\right) *(\rho * 2) * g *(T d-T o) * L}{\left(\mu^{3}\right) * H_{v a p}}\right)^{0.5}\right)
\end{aligned}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 14, Page: 447.