The governing equations for diffusion mass transfer are [23]
![]() |
(62) |
and
![]() |
(63) |
where
![]() |
(64) |
and
![]() |
(65) |
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:
![]() |
(66) |
and
![]() |
(67) |
where
![]() |
(68) |
and
![]() |
(69) |
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
![]() |
(70) |
or
![]() |
(71) |
If and
are constant, these equations reduce to:
![]() |
(72) |
or
![]() |
(73) |
Accordingly, by comparison with the heat equation, the correspondence in Table (9) arises.