This model computes the mass transfer based on similarity laws between the convective sensible heat transfer coefficient and the mass transfer coefficient.
Using the Lewis number which is defined as the ratio between the heat and mass diffusion coefficients, one can obtain the ratio between convection heat transfer coefficient h in (W/(m^2*K)) and mass transfer coefficient hm in (m/s) as follows:
h ⁄ hm = ρ cp Le(1-n) ⁄ hm
where ρ is the mass density, cp is the specific heat capacity of the bulk medium and n is a coefficient from the boundary layer analysis, which is typically n=1/3. From this equation, we can compute the water vapor mass flow rate nA in (kg/s) as
nA = Gc ⁄ (cp Le(1-n)) (Xs - X∞),
where Gc is the sensible heat conductivity in (W/K) and Xs and X∞ are the water vapor mass per unit volume in the boundary layer and in the bulk of the medium. In this model, Xs is the saturation water vapor pressure corresponding to the temperature Tsur which is an input.
Name | Description |
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Medium | Fluid medium model |