76
I. E. Ivanov et al.
Fig. 6.1 Example of
distribution density
J =
Q 1/ Q 0 −D
0
ϕ(r, m, D)dr ,
(6.22)
where ϕ(r, m, D) is the density of the lognormal distribution:
ϕ(r, m, D) =
1
r
√
D2π
exp
−
1
2
(ln(r ) − m)
2
D
,
(6.23)
The parameters m, D are obtained from Eq. 6.24 [37].
D = ln
Q 0 Q 2
Q
2
1
m =
1
2
ln
Q
4
1
Q
3
0 Q 2
(6.24)
6.2.3 Thermodynamic Equations
The thermodynamic properties of the mixture are determined by the composition of
the components and presence of fluid in it. It is believed that the mixture is in thermodynamic and caloric equilibrium provided by Eqs. 6.25–6.28, where C Va , C Pa are the
specific heat components at constant volume and at constant pressure for carrier gas,
respectively, C VV , C PV are the same ones for vapor condensing substance, C Vmixt ,
C Pmixt are the same ones for two-phase mixture, C l is the specific heat components
of liquid, R a , R V , R mixt are the individual gas constants of the carrier gas condensing
medium and two-phase mixture, respectively, γ f is the adiabatic exponent of the
mixture.