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8/18/2019 Heat Integration Pinch
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C E P. D 'A H P A
1
UNIVERSITA' DEGLI STUDI DI NAPOLI FEDERICO II
D.I.I. D I I
P. . M D 'A
( )
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C E P. D 'A H P A
2
I
I , ( , ,
)
, ,
.
I , ,
, ,
( , ,
.
N , , ,
, , , , .
S, , ,
, ,
PT.
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C E P. D 'A H P A
3
E 1:
S ,
T1 T2 , , T1 T2.
I ,
(*) ( ,
, ⋅∆ ), (Q H, H = ) (Q C,
= ) , , :
1 2 1 2 , 1 2 Δ)(C )()( &&&&& =−⋅=−⋅⋅=−⋅=⇒
(*) L ( ).
2121 ,21C Δ)(C )()( &&&&& =−⋅=−⋅⋅=−⋅=⇒
I , ( )
, W/K
;
(, W) .
I , Q H , Q C
.
C&
C&
⋅= &&
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C E P. D 'A H P A
4
E 1: TH
P ,
, (TH);
,
, ,
S T1, > T1, , Q H Q C
, . A ,
.
M T (K)
1
2
, , :
N, C < C (
).
.1
==⇒=⋅=
δ
&&&&&
L ,
; , , ,
( ,
).
(W)
2
1
, & ,
&,
&
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C E P. D 'A H P A
5
E 1: TH,
F ∆T , ∆T.
I ∆T .
O, ∆T , ,
Q H Q C ; ,
∆T ( :
).
I T (K)
(W)
1
2
2
1
,& ,
& ,&
Δ I
C
C
∆T
C
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C E P. D 'A H P A
6
E 1:
L
( , ∆T = .
), (
), , , ε−NTU (ε = , NTU = N
T U):
( )[ ]
:
,C
C,
CC//
*
*1
*1CC,C
=−⋅==
&
&
&&&&&
ε
∆⋅= )(&
)(
(
C
C1
C
C
C1
C
C
1C1
:, ,
;
, CC
*
1*
1C,
−⋅⋅−
−⋅=
∆⋅=−⋅=
&
&
&&
&
&
&
&
&&&
ε
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C E P. D 'A H P A
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E (
)
E 1: (ε NTU)
A ., Q , ,
ε, NTU A = NTU⋅C/U
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C E P. D 'A H P A
10
E 1:
D:
T1 (C) = 130
T2 (C) = 40
T1 (C) = 20
T2(C) = 80C (W/K) = 3,00
C (W/K) = 1,00
U (W/2K) = 0,55
I0 () = 80.000
A0 (2) = 10
= 0,60
,GN (/) = 0,45
R:
,EE ((W) = 0,15
PCI (W/) = 9,59N (/) = 3.000
COP = 3,0
η = 0,85
∆T (C) = 10
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C E P. D 'A H P A
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E 1:
Q (W) = 60
T*1 (C) = 90
T*2 (C) =T*1Q/C = 70∆Τ (C)= 70
ε = Q/(C*∆T) = 0,86 =>
() => NTU = UA/C ≅ 2,4
A = NTU*C/U (2) ≅ 4,4
I () = 48.900
∆CE (/) = 18.940
SPB = 2 6
R:
N.B.: , A , , ,
A = Q/(U⋅∆T); ∆T = (5010)/(50/10) ≅ 25 C, : A = 60/(0,55⋅25) = 4,4 2.
C , ,
(, ,
); , εNTU
( ,
).
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E 1:
E , ∆T:
1,5
2
2,5
3
( )
∆
0
0,5
1
10 20 30 40 50 60 70 80
∆∆∆∆ ()
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C E P. D 'A H P A
13
E 2: (*)
S ( ),
(CP = , W/K; R = , C =
, REB = , COND = , H = , C =
; C, W) .
(*) L, , : L B., I ,
..
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C E P. D 'A H P A
14
E 2: N (2.000 W 2.340 W). V
1.200 W ( H),
200 C, 360 W ( C),
( ) 25 C () / 30 C ().
P (), ( ), SENA
(
, ).
N.B.: EB CND, ,
, , .
S :
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C E P. D 'A H P A
15
E 2: C H : TH
(N.B.: , CP);
H, , , :
F 1 => CP = 20 W/K, 180 C 80 C => Q = 2.000 W
F 2 => CP = 40 W/K, 130 C 40 C => Q = 3.600 KW
=> 1 H 0 2.000 W, 2 2.000
(2.000 + 3.600) = 5.600 W
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E 2: S, ,
(, 130 C 80 C),
(CP1 = 20 W/K, CP2 = 40 W/K, CP1 + CP2 = 60 W/K):
P .
F ∆T ( , ,
, , 1),
H
∆T .
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C E P. D 'A H P A
18
1
1+2
4
E 2:
DH (W) T () T ()
0 40120 43 30
600 55 43
1200 70 60
1600 80 63
2960 103 75
3400 110 79
3560 113 80
4120 122 85
4600 130 89
5600 180 985840 100
6560 120
2
4
3+4
'
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C E P. D 'A H P A
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E 2: U (T = 70 C, T= 60 C),
: , ,
( ); , ,
( ).
, ,
, ( > 0):
(
: α); , > 70 <
60 ;
( : β)
: γ .
C E P D 'A H P A
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C E P. D 'A H P A
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L :
1.
2.
3.
S ,
, :
C 2 C = 40 K
E 2:
C
= 1080840 = 240
C 4,
C = 36 /K
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C E P. D A H P A
21
E 2: L , (
, , , )
, :
C E P D 'A H P A
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C E P. D A H P A
22
I, ( >
98 C , < 43 C ),
.
P, , , , : SC (SC1) 1 (CP = 20 W/K) 3 (CP = 80 W/K);
1 CP , , ∆T ;
3, :
20 ⋅ ⋅⋅ ⋅ (18080) = 2.000
E 2:
SC1, 3 60 C 85 C (Q/CP3 = 2.000/80 = 25 C);
(
1 );
2 (CP = 40 W/K), SC (SC2)
3 ( 85 C 98 C,
); CP , 3 (80
W/K), :
80 ⋅ ⋅⋅ ⋅ (9885) = 1.040
SC2, 2 130 C 104 C (Q/CP2 = 1040/40 =26 C);
(
3 );
C E P D 'A H P A
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2 , 104 C 43 C ( );
4, SC (SC3) 2 (CP = 40
W/K) 4 (CP = 36 W/K); CP , 2,
:
40 ⋅ ⋅⋅ ⋅ (10443) = 2.440
SC3, 4
30 C 98 C
(Q/CP4 = 2.440/36
= 68 C);
E 2:
(
)
L
,
,, 960 W
120
W ,
( ∆T ).
C E P. D 'A H P A
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C E P. D A H P A
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A: ,
: , , , ,
,
( , , ).
L , , ,
, ,
; :
, U,
;
E 2:
, , ,
;
I , , , ,
, ;
, , ,
,
:
N = (N A 1) + (NB 1)
N A = ( ) (A = A) NB =
( ) (B = B) (: N = 6,
).
C E P. D 'A H P A
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25
E ;
(5.480 W) , ,
(*), UA = Σ(UA) = Σ(Q/∆T), (356 W/K 353
W/K); , U ,
( ) (
) .
E 2:
C E P. D 'A H P A
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26
P
( , )
, : (),
8/12 C 30/35 C ().
O,
, :
, ( .: ,
, );
I
, ( : 30/35 C,
8/12 C).
P ,
, , , , ,
.
C E P. D 'A H P A
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27
I
I , (HP).
S (LP),
, ,
, ,
LP ∆T
.
A , ,
LP, .
C E P. D 'A H P A
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28
I
S , ,
:
,
(, ∆T/2 ; , ,
∆T );
, ,
, ,
,
;
,
(N.B.: , ),
,
,
.
C E P. D 'A H P A
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29
I
C E P. D 'A H P A
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30
I
C E P. D 'A H P A
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31
V ∆T V ∆T , (L,
.. ):
C E P. D 'A H P A
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32
P ( )
(.. ):
V ∆T
C E P. D 'A H P A
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33
U ():
( , )
:
A+Q(QW)
... , ,
=> !
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34
U (): C , ,
S Q ( ),
,
A (A+Q); , Q
, , . I, ()
, , ,
B (B+)!
I, : Q , ,
A (A+Q) ,
, (QW) , :A + Q (QW) = (A + W); W ()
( ) W; W
, , ,
1.
I, , Q
( Q≤B) ,
: ,
W, .
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36
1. U , , :) (
) ,
;
) , (
);
) , ;
) ( ) ,
;
) , ,
W = 10 W Q = 30 W,
.
DATI
E
C = 2,00 W/K
T1, = 150 CT2, = 0
F :
C = 3,00 W/K
T1, = 20 C
T2, = 120 C
D : ∆T = 10 C
O = 5.000 /
C : U = 100 W/2KR : η = 0,90
COP ( ): COP = 3,00
R : η = 0,46
C. CO2 . = 0,483 /W
C. CO2 = 0,202 /W
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37
ILAI E. 1:
E
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39
E
5. S ( , ), :
, , ,
A B ( MW/) ,
;
, , ,
, : W = 2.000 MW/A; Q = 6.000 MW/;
A = 0,850; COP B = 4,00
1) * ( )/(C⋅η,) = 2.174 0 3.261
2) * /η = 7.059 2.353 0
3) * /η, = 4.348
. AAE ABB EEA AA* + 4.885 => ! 1.995 => 7.690 => BE CAE