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.