Film condensation on vertical tubes

Input(s)

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

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

g: Gravitational Accelaration (m/s s)

μ\mu: Viscosity (cP)

τ\tau: Rate of Condensate Flow per Unit Width to Bottom (m2/s)\left(\mathrm{m}^{2} / \mathrm{s}\right)

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

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

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

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

Output(s)

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

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

Formula(s)

hml=43(((k3)(ρ2) g3μτ)0.334)hmt=0.003(((k3)(ρ2) g(TdTo) L(μ3)Hvap)0.5)\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

An unhandled error has occurred. Reload 🗙