heat integration pinch

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

8

E (

)

E 1: (ε NTU)

A ., Q , ,

ε, NTU A = NTU⋅C/U


9/39


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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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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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12

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

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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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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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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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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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L :

1.

2.

3.

S ,

, :

C 2 C = 40 K

E 2:

C

= 1080840 = 240

C 4,

C = 36 /K

C E P D 'A H P A


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E 2: L , (

, , , )

, :

C E P D 'A H P A


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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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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)

... , ,

=> !

C E P. D 'A H P A


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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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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

heat integration pinch

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