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Eq. 1
h_ml = 4/3 [ ( ( k³ ρ² g ) / ( 3 µ τ ) )^0.334 ]

Eq. 2
h_mt = 0.003 [ ( ( k³ ρ² g (Td - To) L ) / ( µ³ h_vap ) ) ^0.5 ]

Where:

k = Thermal Conductivity (g m/s³ K)
ρ = Density (g/cc)
g = Gravitational Accelaration (m/s²)
µ = Viscosity (cP)
τ = Rate of Condensate Flow per Unit Width to Bottom (m²/s)
Td = Dew Point Temperature (K)
To = Temperature Outlet (K)
L = Length (m)
h_vap = Heat of Vaporization (N, J/g)
h_ml = Laminar Coefficient of Heat Transfer (W/m K)
h_mt = Turbulent Coefficent of Heat Transfer (W/m K)

Source:

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

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