Tuesday, 19 April 2016

Way Off Topic - Brower's Fog Film Model.



Brower’s fog film model, according to Ghiaasiaan (2007). Starts with the molar-flux based, Couette flow model of condensation from a carrier gas:

where:
HGI
Heat transfer coefficient of gas film
TG
(average?) gas temperature
TI
Saturation temperature, at interface gas concentration.
HFI
Heat transfer coefficient of liquid film.
TF
(average?) liquid temperature
N”
Molar flux
hfg
Latent heat of condensation

where:
K~GI
Mass transfer coefficient (molar basis)
Xv,s
Mole fr of vapour at the surface of the liquid.
Xv,G
Mole fr of vapour in the bulk gas.

Normal film models overpredict the condensation rate when fog occurs. Brower’s model applies corrections to the above. 
These correction factors are found using the equations Browers developed:
where:
Cpv
Heat capacity of vapour
Le
Lewis number , thermal diffusivity over mass diffusivity av/Dv,n.
ShGI
Sherwood number, mass transfer rate over diffusion rate KGI pipe dia/ρGD12
NuGI
Nusselt number
F
F = Pv(T)/P. so I’m guessing, equilibrium vapour pressure over total pressure, which would make it equilibrium mole fraction by Raoult’s law. Which would make dF/dT]TI the gradient of this at the gas/liquid interface.

REF
Ghiaasiaan, SH. 2007. Two phase flow,boiling and condensation in conventional and miniature systems. Chambridge University Press.

No comments:

Post a Comment