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)

$\boldsymbol{h}_{\boldsymbol{m} \boldsymbol{l}}$ : Laminar Coefficient of Heat Transfer (W/m K)

$\boldsymbol{h}_{\boldsymbol{m} \boldsymbol{t}}$ : Turbulent Coefficient of Heat transfer $(\mathrm{W} / \mathrm{m} \mathrm{K})$

\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}

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 14, Page: 447.