364 Appendix
© 2010 Taylor & Francis Group, LLC
averaging of physical parameters of these particles in a valid approximation. There
are two ways of averaging the parameters that describe the i-component: either in the
full volume or in a portion of the volume lled with the i-component. For instance,
for density, the rst case is
ρ
ip
= n
i
m
i
, (A.1)
and the second is
ρ
i
= n
i
m
i
⁄ β
i
, (A.2)
where n
i
is a number of particles of the i-component in the unit volume; m
i
is the
weight of particles of the i-component; and β
i
is a fraction of the mixture volume
lled with particles of the i-component.
Thus, in the rst case, we have a partial density, and in the second case, we
have the true density of particles of the i-component. There is an apparent ...