# 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.

## Related

### Film condensation on vertical tubes

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