The governing equations for diffusion mass transfer are [34]
| (277) |
and
![]() |
(278) |
where
| (279) |
and
| (280) |
In these equations
is the mass flux of species A,
is the mass diffusivity,
is the mass fraction of species A and
is the density of species A. Furthermore,
is the rate of increase
of the mass of species A per unit volume of the mixture. Another way of
formulating this is:
| (281) |
and
![]() |
(282) |
where
![]() |
(283) |
and
| (284) |
Here,
is the molar flux of species A,
is the mass diffusivity,
is the mole fraction of species A and
is the molar concentration of species A. Furthermore,
is the rate of increase
of the molar concentration of species A.
The resulting equation now reads
![]() |
(285) |
or
![]() |
(286) |
If
and
are constant, these equations reduce to:
![]() |
(287) |
or
![]() |
(288) |
Accordingly, by comparison with the heat equation, the correspondence in Table (16) arises.