Гумеров Ф.М., Сабирзянов А.Н., Гумерова Г.И. Суб - и сверхкритические флюиды в процессах переработки полимеров
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31
,
, -
(-
). -
-
:
() ()
∑
∫
∞
=
j,i
2
ij
0
ijji
drrrgruxxN2U
ρπ
, (1.28)
()
()
∑
∫
∞
−=
j,i
0
3
ij
ijji
drr
dr
rdu
rgxx
kT3
2
1
kT
P
πρ
ρ
, (1.29)
()
12
g
-
2 dr r
1:
()
() ()
drr4rgrdN
2
12212
πρ
=
. (1.30)
-
= 148 [37] .1.4.
.1.4. -
= 148 [37].
, -
()
rg
12
()
ru
12
- [37].
-
-:
32
−
=
−
=
∗∗
6
ij
12
ij
ij
ij
6
ij
12
ij
ijij
r
r
r
r
2
rr
4u
ε
σσ
ε
, (1.31)
ij
ε
- ;
ij
σ
- ,
0u
ij
=
;
∗
ij
r
-
()
ru
ij
.
- -
.1.5.
.1.5.
-
.
-
:
221112
εεε
=
,
2
2211
12
σσ
σ
+
=
.. (1.32)
-
ij
k
, , ,
,
()
εεε
12 12 11 22
1=−k
. (1.33)
-
33
, .
,
.
,
-
. -
[38÷40]
-
.
. ,
.
()
[]
21
2121
2
0
12
N.N
NNNN
drr41rg
V
1
−
=−
∫
∞
π
, (1.34)
21
NN
21
NN
-
V.
(1.34) 0. [38] -
, .. -
1
.
µ
()
[
]
...b3b8b2
~
/a
~
3
23
2
2
2
22222
+−−−=
∗∗∗∞
ρρργ
, (1.35)
2
a
~
- ,
∞
2
~
γ
- -
. -
∗
i
b
,
() ()
rg,rg
22222
..:
()
[]
∫
∞
∗∗
−=
0
2
222
drr1rg2b
π
, (1.36)
34
∗
3
b
∗
22
g
-
∗
222
g
.. ,
-
-
.
.
-
()
()
()
2
.
2212
a
~
lnkT
~
,,
~
+=
ρ
µρρµ
, (1.37)
()
.
2
~
ρ
µ
- -
,
,
.
[39] -
()
()
12221121
2211121
2
P,T
2
2
G2GGx1
GGG2
x
1
x
~
kT
1
−++
−−
+=
ρ
ρ
∂
µ∂
, (1.38)
()
()
12221112
2211122
1
P,T
1
1
G2GGx1
GGG2
x
1
x
~
kT
1
−++
−−
+=
ρ
ρ
∂
µ∂
, (1.39)
ij
G
()
rg
ij
()
[]
drr41rgG
2
0
ijij
π
∫
∞
−=
. (1.40)
t
β
35
()
()
1222112121
2
122211212222111
t
G2GG
GGGGG1
kT
−+++
−+++
=
ρρρρ
ρρρρ
β
. (1.41)
i
~
µ
x
2
-
()
[]
...x
V
GGG2
xln
~~
kT
1
2
0
1
221112
2x22
+
−−
+=−
∗∗
∗
µµ
, (1.42)
0
1
V
- , -
. , , -
.
, -
-
T,V
x
P
∂
∂
[41].
[42] -
-
ρ
()
...
x
P
CxlnRT
2
T,V
1
+
−−=
ρ
∂
∂
ρρ
, (1.43)
1
C
- ,
ρ
- -
. - -
, -
. -
-
-.
, -
36
T,V
x
P
∂
∂
, -
ij
G
ij
C
()( )( ){}
22121211
T,V
GGxGGx1RT
›
P
−−−−=
ρ
∂
∂
, (1.44)
()
∫
∞
=
0
ijij
drrCG
. (1.45)
ij
C
-
. -
()
rU
.
()
rC
ij
[43].
-
[36]. -
,
. ,
.
1.2.3. -.
-
,
.
,
-
[44].
37
. -
.
.
- [45]
()
2
12
2
1
22
VlnRT
δδϕγ
−=
, (1.46)
1
ϕ
- ,
2,1
δ
-
, [36]
ii
i
i
2
i
C
V
E
==
δ
, (1.47)
i
E
- , -
;
i
V
- -
;
ii
C
- .
(1.46) -
22
2
2
fx
f
=
γ
, (1.48)
(1.46)
()
2
12
2
1
2
2
2
2
RT
V
xln
f
f
n
δδ
ϕ
−=−
l
. (1.49)
[44]
ln
R
C
1
R
C
1
RT
H
f
f
ln
2
2
∆∆
∆
−
−+
−−=
, (1.50)
H∆
- ,
- .
38
[44] ,
(1.50), , .
(1.49) (1.50),
()
−−
−−=
2
12
2
1
2
2
RT
V
1
RT
H
expx
δδ
ϕ
∆
. (1.51)
(1.51)
H
∆
,
,
2
V
. (1.51) -
1
δ
2
δ
.
(1.47) -
δ
. [45] -
--
δ
P25,1=
δ
, (1.52)
P
- . [46]
-
δ
=
2
2
1
P25,1
ρ
ρ
δ
, (1.53)
2
ρ
-
, 2,66. -
1,25⋅
1/2
ρ
2
/
ρ
2
-
.
-
. ,
, -
39
1,
10,7 [32].
, -
δ
,
6,0 10,0 (/
3
)
0,5
. (1.53)
δ
.
1.6 [23]
,
(, ).
[47] -
,
-
-
.
1.3 1.4
[47] -
-
.
-
, -
, -
- -
2
.
-
1.3 1.4 [47]:
̈
,
;
̈
2
;
1.3.
, .
. 1.6.
(1 – t = -30 °C; 2 – t = 31 °C; 3 – t =
70 °C)
40
t, ,
2
, /
3
y
2
, /
1.
5916
5916
25,0
32,0
13,0
13,0
865
820
2,2
1,2
2.
434
1300
33,0
30,0
17,5
23,0
855
910
8,0
5,6
3. 25,0 19,5 912 10,3
4. 501 25,0 19,5 913 4,0
5. 5095 25,0 19,0 910 2,5
6.(1-
)
25,0 21,5 925 2,2
7. 216000 20,0 10,0 860 0,2
8.(
)
1993000
1993000
25,0
58,0
13,5
17,0
870
690
1,2
<1,2
9.
25,0 21,5 925 1,4
10.(
)
25,0 17,0 898 5,5
11.-
135000
135000
25,0
52,0
18,5
19,0
907
710
0,3
1,0
12.-
408 25,0 14,5 878 2,7
13.(2--
)
4200 25,0 14,0 872 1,7
14.
()
25,0 11,5 835 4,0
15. (--
)
25,0 16,0 890 2,4
1.3
16.(--
)--
)50:50
20,0 15,0 805 0,6
17.(--
)
25,0 15,0 880 2,4
̈
.
-
2
;