# Film condensation on vertical tubes

## Input(s)

k: Thermal Conductivity (g m/s s s K)

$$\rho$$: Density $$(\mathrm{g} / \mathrm{cc})$$

g: Gravitational Accelaration (m/s s)

$$\mu$$: Viscosity (cP)

$$\tau$$: Rate of Condensate Flow per Unit Width to Bottom $$\left(\mathrm{m}^{2} / \mathrm{s}\right)$$

$$\boldsymbol{T d}$$: Dew Point Temperature (K)

To: Temperature Outlet $$(\mathrm{K})$$

L: Length $$(\mathrm{m})$$

$$\boldsymbol{H}_{\text {vap }}$$: Heat of Vaporization (N)

## Output(s)

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

$$\boldsymbol{h}_{\boldsymbol{m} \boldsymbol{t}}$$: Turbulent Coefficent of Heat Transfer (W/m K)

## Formula(s)

$\begin{gathered} \mathrm{h}_{\mathrm{ml}}=\frac{4}{3} *\left(\left(\frac{\left(\mathrm{k}^{3}\right) *\left(\rho^{2}\right) * \mathrm{~g}}{3 * \mu * \tau}\right)^{0.334}\right) \\ \mathrm{h}_{\mathrm{mt}}=0.003 *\left(\left(\frac{\left(\mathrm{k}^{3}\right) *\left(\rho^{2}\right) * \mathrm{~g} *(\mathrm{Td}-\mathrm{To}) * \mathrm{~L}}{\left(\mu^{3}\right) * \mathrm{H}_{\mathrm{vap}}}\right)^{0.5}\right) \end{gathered}$

## 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 pipes

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