Each component of mass being transferred between the continuous and particle phases satisfies the equation:
(6–43) |
In this equation, is the mass of the
constituent in the particle,
is the mass fraction of component
in the particle,
is the mass fraction of component
in the surrounding
fluid,
is the equilibrium mass fraction
ratio,
is the dynamic diffusivity of the mass fraction
in the continuum, and
is the Sherwood number given by:
(6–44) |
If no value is set for the equilibrium mass fraction , a value
of 1 is used.
The simple model assumes that the mass transfer is driven only by concentration differences. While this may be appropriate in some situations, such as solids having a small moisture content, it does not adequately account for the vapor pressure dependence on particle temperature, which is imported for evaporating liquids. In these situations, the liquid evaporation model, presented below, is more appropriate.
The mass source to the continuous fluid is obtained from:
(6–45) |