Heat transfer coefficient for condensation - Pure vapors on solid surface

Input(s)

k: Thermal Conductivity $(\mathrm{J} / \mathrm{m} \mathrm{s} \mathrm{K})$

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

g: Acceleration Due to Gravity $\left(\mathrm{m} / \mathrm{s}^{2}\right)$

$\mu$: Viscosity $(\mathrm{cP})$

D: Diameter $(\mathrm{m})$

$T_{d}$: Dew Point Temperature (K)

$T_{o}$: Original Temperature (K)

$\Delta H_{\text {vap }}:$ Heat of Vaporization $\left(\mathrm{J} \mathrm{ft}^{2} / \mathrm{s}^{2}\right)$

Output(s)

$h_{m}$: Heat Transfer Coefficient $(\mathrm{W} / \mathrm{m} \mathrm{K})$

Formula(s)

$$ \mathrm{h}_{\mathrm{m}}=0.725 *\left(\frac{\left(\mathrm{k}^{3}\right) *\left(\rho^{2}\right) * \mathrm{~g} * \Delta \mathrm{H}_{\mathrm{vap}}}{\mu * \mathrm{D} *\left(\mathrm{~T}_{\mathrm{d}}-\mathrm{T}_{\mathrm{o}}\right)}\right)^{0.25} $$

Reference(s)

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