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MASS DIFFUSION 161;Bienvenidos!(大规模扩散 161;Bienvenidos !)
MASS DIFFUSION
Mass Transfer 1
What it is and what it isnt 1
What it is for. Applications 2
How to study it. Similarities and differences between Mass Transfer and Heat Transfer 2
Forces and fluxes 4
Specifying composition. Nomenclature 4
Specifying boundary conditions for composition 6
Species balance equation 9
Diffusion rate: Ficks law 10
The diffusion equation for mass transfer 14
Some analytical solutions to mass diffusion 15
Instantaneous point-source 15
Semi-infinite planar diffusion 16
Diffusion through a wall 17
Summary table of analytical solutions to diffusion problems 19
Evaporation rate 22
References 23
MASS TRANSFER
WHAT IT IS AND WHAT IT ISNT
The subject of Mass Transfer studies the relative motion of some chemical species with respect to others
(i.e. separation and mixing processes), driven by concentration gradients (really, an imbalance in
chemical potential, as explained in Entropy). Fluid flow without mass transfer is not part of the Mass
Transfer field but of Fluid Mechanics.
Heat transfer and mass transfer are kinetic processes that may occur and be studied separately or jointly.
Studying them apart is simpler, but it is most convenient (to optimise the effort) to realise that both
processes are modelled by similar mathematical equations in the case of diffusion and convection (there is
no mass-transfer similarity to heat radiation), and it is thus more efficient to consider them jointly. On the
other hand, the subject of Mass Transfer is directly linked to Fluid Mechanics, where the single-
component fluid-flow is studied, but the approach usually followed is more similar to that used in Heat
Transfer, where
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