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LECTURE 3
LECTURE 3
The Problem Table
The Problem Table
Algorithm
Algorithm
(Cascade Diagram)
(Cascade Diagram)
Stream Data
Stream Data
“
“Composite Curves
Composite Curves”
”
Energy Targets
Energy Targets
But,Complicated
But,Complicated
Better:
Better:
“
“The Problem Table
The Problem Table”
”
Example Problem 2
Example Problem 2
C1
COND
R1
REB
C2
COND
REB
Heat
CP=2
Cool
CP=1.5
Heat
CP=4
Cool
CP=3
Cold
Shot
20º
135º
100º
80º
150º
30º
140º
100º
170º
60º
Example Problem 2
Example Problem 2
1.5
30
150
Hot
4
4
140
80
Cold
3
3
60
170
Hot
2
2
135
20
Cold
1
Heat capacity
flowrate CP(MWº/C)
Target
Temp TT(ºC)
Supply
Temp. Ts(ºC)
Type
Stream
Hot Scale Cold Scale
∆
∆T
T min
min=10
=10º
º
170º
150º
145º
90º
60º
30º
160º
140º
135º
80º
50º
20º
60
2.5
75
-82.5
-15
1.5
3
2
4
Hot Scale Cold Scale
∆
∆T
T min
min=10
=10º
º
170º
150º
145º
90º
60º
30º
160º
140º
135º
80º
50º
20º
60
2.5
75
-82.5
-15
60
62.5
0
75
60
60 To cold utility
QHmin = 20
QCmin = 60 Pinch Temp.
90º HOT
80º COLD
20
LECTURE 4
LECTURE 4
The Heat Recovery
The Heat Recovery
Pinch
Pinch
Qcmin
QHmin
H
T
PINCH
The Pinch Sets Absolute Limits for
Process Heat Recovery
Qcmin
QHmin
H
T
PINCH
(HOT)
∆
∆T
T min
min
PINCH
(COLD)
For a Practical ∆T min THOT ≠ TCOLD
H
T
∆
∆T
T min
min
Qcmin
QHmin
PINCH
Heat
Source
Heat
Sink
The “pinch” divides the problem
into a heat source and heat sink
Sink in heat balance with QHmin
Source in heat balance with Qcmin
zero cross-pinch transfer
H
T
Qcmin
QHmin
PINCH
Heat Sink
Heat Source
What happens if we
What happens if we
transfer heat across
transfer heat across
the pinch?
the pinch?
H
T
Qcmin
QHmin
Possible
∆T min
It is possible to transfer heat from
above the pinch to below the pinch.
H
T
Qcmin
QHmin
Not Possible
∆T min
If we transfer α units of heat across the pinch
QHmin and Qcmin are both increased by α
H
QHmin+α
T
Qcmin+ α
α
Above
Below
Three Golden Rules of Pinch
Three Golden Rules of Pinch

 Do not use
Do not use hot utility
hot utility below the pinch
below the pinch

 Do not transfer heat across the pinch
Do not transfer heat across the pinch

 Do not use
Do not use cold utility
cold utility above the pinch
above the pinch
OR:
OR:

 Keep source (below) and sink (above) separate
Keep source (below) and sink (above) separate

 Use
Use hot utility
hot utility above and
above and cold utility
cold utility below
below
H
T QHmin
Qcmin
Separate

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