Some Notes on Boundary Conditions
An effect of dividing the momentum equations with
and
respectively is that for example
u
d
obtains a value even if
. In many cases
u
d
will tend to
u
c
in lack of a dispersed phase. So on inlets where
, it is appropriate to set
u
d
=
u
c
.
A fixed value for
should only be prescribed if there is no transport of
toward the inlet. If, for example, a cloud of dispersed phase with higher
than the prescribed value somehow reaches the inlet,
will actually be “consumed”.
When specifying a dispersed phase flux, make sure to specify an appropriate velocity to go with the flux to avoid nonphysical concentrations of
close to the boundary.
At walls, where it is possible to prescribe a wall leakage, the continuous phase normal velocity is set to
For a dispersed phase leakage:
Wall leakage for one phase works best if combined with slip condition for the other phase so that the mixture is given maximum freedom to react to the leakage.