processes with the pressure changes.
The condition (12) includes the driving factor of mass transfer, represented by the
difference of parameters (с
s
–с
τ
). The oxygen saturation of liquid phase c
s
is determined
according to Henry's law:
Р
k
с
г
s
=
.
(34)
For variable pressures in flow limits P with the initial value Р
(in)
in the adopted frame
of reference, the value с
s
will be represented by the equation:
)
(
)
(
in
in
s
s
P
P
с
с
=
.
(35)
This means that the reaction of the system to the pressure changes is doubled within
the parameter changes of F and c
s
. Thus the equation (12) of the rate of oxygen dissolution,
is:
−
=
c
Р
Р
c
Р
Р
F
k
d
dM
in
in
s
in
in
m
ox
)
(
)
(
2
3
)
(
)
(
.
(36)
The duality of the impact of pressure P clearly follows from the latter condition, since
the reaction of the medium concerns the phase separation surface and the solubility level.
However, the conclusion about the duality of influence is somewhat arbitrary, since the
deformation of the dispersed gas phase is accompanied by an increase in hydrodynamic
modes.
Estimating the combined pressures through the parameters F
(in)
and c
s
we assume the
stabilized values k
m
= 1 m/s and F
(in)
= 1 m
2
with the initial values of the parameters P
(in)
= 0.12 MPa, c
s(in)
= 10 mg/l = 0.01 kg/m
3
. Pressure changes in the system are represented
by the row P
(in)
/P = 0.2; 0.4; 0.6; ... 3.0, and the results of calculations are presented in Fig.
5. The accepted conventions regarding the values of k
m
= 1 m/s and c
τ
= 0.002 kg/m
3
to a
certain extent idealize the system, but at the same time it is possible to compare the
estimates of the effects of individual factors.
The transition to adiabatic conditions of gas phase compression processes allows us
to estimate the changes in the interphase surface:
−
=
c
Р
Р
c
Р
Р
F
k
d
dM
in
in
s
k
in
in
m
ox
)
(
)
(
2
3
)
(
)
(
.
(37)
The results of calculations in this case correspond to Table 4 and Fig. 6
Table 4. Ratios characterizing the intensity of mass transfer
Р
(in)
/Р 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0
d
dM
O
2
0
.0
2
2
0
.0
1
5
0
.0
1
2
0
.0
0
9
0
.0
0
8
0
.0
0
7
0
.0
0
6
0
.0
0
5
3
0
.0
0
4
7
0
.0
0
4
2
0
.0
0
3
7
0
.0
0
3
3
0
.0
0
2
9
0
.0
0
2
6
0
.0
0
2
2
с
τ
=
0.001
0
.0
2
3
0
.0
1
6
0
.0
1
2
0.01
0
.0
0
9
0
.0
0
8
0
.0
0
7
2
0
.0
0
6
5
7
0
.0
0
6
0
.0
0
5
5
6
0
.0
0
5
1
6
0
.0
0
4
8
0
.0
0
4
4
5
0
.0
0
4
2
0
.0
0
3
9
4
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