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COURSE HIGHLIGHTS
INTRODUCTION
TYPES OF HEAT EXCHANGERS
Co-current Counter current
In counter current flow, the hot and cold fluids
flow in the opposite direction
In co-current flow, both the hot and cold fluids
flow in the same direction
Tci : Cold fluid inlet temperature
Thi : Hot fluid inlet temperature
Tco : Cold fluid outlet temperature
Tho : Hot fluid outlet temperature
Tci
Thi
Tco
Tho
Tci : Cold fluid inlet temperature
Thi : Hot fluid inlet temperature
Tco : Cold fluid outlet temperature
Tho : Hot fluid outlet temperature
Thi
Tho
Tco
Tci
VARIOUS TYPES
TYPES OF HEAT EXCHANGERS
Shell and tube
1
Air cooled
2
Plate and frame
3
Spiral plate
4
Plate and fin
5
Spiral tube
6
Double pipe
7
Bayonet
8
Jacketed vessels
9
Fired heaters
0
1
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
TEMA types
Fluids characteristics (thermal properties, viscosities, fouling...)
1
Process conditions (t’puts, temperatures...)
2
Space required for the heat exchanger
3
Type and size of foundation
4
Maintenance costs
5
CONSIDERATIONS IN TEMA TYPE SELECTION
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
TEMA types
BEM
Fixed tube sheet heat exchanger
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
TEMA types
U tube heat exchanger
CFU
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
TEMA types
Outside packed stuffing box heat exchanger
AEP
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
TEMA types
Outside packed lantern ring heat exchanger
AJW
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
TEMA types
Internal floating head heat exchanger
AES
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
TEMA types
Kettle type floating head reboiler
AKT
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
TEMA types
AKT
AES
AJW
AJW
CFU
BEM
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
Floating tube sheet
Straight tubes secured at both ends
One tube sheet is free to move
Tube bundle may be removed
Covers, gaskets… are accessible for Mtce
SHELL AND TUBE
TYPES OF HEAT EXCHANGERS
Floating tube sheet
Outside packed stuffing box
1
Outside packed lantern ring
2 Internal floating head
3
AEP
AJW AES
AIR COOLERS
TYPES OF HEAT EXCHANGERS
Overview
Forced draft Induced draft
AIR COOLERS
TYPES OF HEAT EXCHANGERS
Forced draft / Induced draft
Fan
Tube bundle
Hot process fluid
Cold ambient air
Cold ambient air
Forced draft Induced draft
Fan
Tube bundle
Hot process fluid
AIR IS PUSHED AIR IS PULLED
Cold ambient air
Cold ambient air
AIR COOLERS
TYPES OF HEAT EXCHANGERS
AIR IS PUSHED
AIR IS PULLED
Less horse power requirement
More flexibility for mounting the unit
More uniform air distribution
Less exhaust air recirculation
Less heat transfer area requirement
Forced draft / Induced draft
PLATE AND FRAME
TYPES OF HEAT EXCHANGERS
Overview
Embossed plates
Top carrying
bar
Bottom guide bar
Frame plate
(stationary)
Pressure plate
Gasket
HOT IN
COLD IN
COLD OUT
Corner openings
HOT OUT
PLATE AND FRAME
TYPES OF HEAT EXCHANGERS
Overview
Construction details (single / double pass…)
Design basis (Plates, gaskets…)
Heat capacity control
Maintenance practices (assembling, disassembling,
cleaning, gasket replacement…)
More on Plate HX further ahead :
PLATE AND FIN
TYPES OF HEAT EXCHANGERS
Overview
13
Al
ALUMINUM
26.982
29
Cu
COPPER
63.546
PLATE AND FIN
TYPES OF HEAT EXCHANGERS
Overview
13
Al
ALUMINUM
26.982
29
Cu
COPPER
63.546
DOUBLE PIPE
TYPES OF HEAT EXCHANGERS
Overview
True counter current flow
Simplicity of construction
Low cost
Well adapted to high P / T applications
Primarily used for low flow rates
Jacketed pipe HX
DOUBLE PIPE
TYPES OF HEAT EXCHANGERS
Overview
Jacketed pipe HX
DOUBLE PIPE
TYPES OF HEAT EXCHANGERS
Overview
Jacketed pipe HX
JACKETED VESSELS
TYPES OF HEAT EXCHANGERS
Overview
Half-pipe coil jackets
2
Conventional jackets
1
Zone 2 :
Cooling water in ~30°C
Zone 1 :
Cooling water in ~10°C
Steam out (zone 1)
Steam out (zone 2)
Half pipes
Vessel
ZONE 2
ZONE 1
Half pipes
Vessel
TUBE CONSTRUCTION Introduction
SHELLAND TUBE
Tube
Seamless
Welded
TUBE CONSTRUCTION Introduction
SHELLAND TUBE
Tube
Seamless
Welded
TUBE CONSTRUCTION Introduction
SHELLAND TUBE
Tube
Thin tubes
Thick tubes
Used when the tube material is expensive
Used when the pressure requires greater strength
Used with very corrosive fluids
TUBE CONSTRUCTION Introduction
SHELLAND TUBE
Finned Fluted
Type A
Channel and removable cover
Type B
Bonnet (integral cover)
Type C
Channel integral with tubesheet
Type D
Special high pressure closure
Type N
Channel integral with tubesheet
SHELLAND TUBE
Stationary head
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Encompass a maximum heat transfer surface
Allow for cleanability inside and outside the tubes
Unit area :
It is the cross sectional area within the tube layout which encloses
one tube within the framework of the spacing pattern
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Equilateral triangular pitch
1
Flow perpendicular to 60° angle of unit area
Flow perpendicular to 120° angle of unit area
Square pitch
2
Diagonal square pitch
3 Pitch
OD
Tube #1 Tube #2
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Flow perpendicular to 60° angle of unit area
Equilateral triangular pitch
1
Square pitch
2 Diagonal square pitch
3
Suitable when not necessary to clean the tubes outside
Does not provide access to the tubes
The tubes can only be cleaned chemically
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Flow perpendicular to 60° angle of unit area
Equilateral triangular pitch
1
Square pitch
2 Diagonal square pitch
3
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Flow perpendicular to 120° angle of unit area
Square pitch
2 Diagonal square pitch
3
Equilateral triangular pitch
1
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Equilateral triangular pitch
1 Diagonal square pitch
3
Square pitch
2
Mechanical cleaning of the tubes outside is possible
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Equilateral triangular pitch
1 Diagonal square pitch
3
Square pitch
2
Mechanical cleaning of the tubes outside is possible
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Equilateral triangular pitch
1 Square pitch
2
Diagonal square pitch
3
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Equilateral triangular pitch
1 Square pitch
2
Diagonal square pitch
3
TUBE CONSTRUCTION Tube layout
SHELLAND TUBE
Equilateral triangular pitch
1
Flow perpendicular to 60° angle of unit area
Flow perpendicular to 120° angle of unit area
Square pitch
2
Diagonal square pitch
3 Pitch
OD
Tube #1 Tube #2
TUBE CONSTRUCTION Tube sheet
SHELLAND TUBE
Tubes
Tube sheet
Holes in the tube sheet
Expanded into grooves cut
into the tube sheet
Welded to the tube sheet
TUBE CONSTRUCTION Tube sheet
SHELLAND TUBE
Tubes
Tube sheet
Holes in the tube sheet
Example of a tube sheet
Fixed
Floating
Single
Double
TUBE CONSTRUCTION Tube sheet
Single tube sheet
SHELLAND TUBE
TUBE CONSTRUCTION Tube sheet
SHELLAND TUBE
Double tube sheet
TUBE CONSTRUCTION Tube sheet
SHELLAND TUBE
Double tube sheet
SHELLAND TUBE
SHELL CONSTRUCTION Type “E”
One pass shell
COOLERS / CONDENSERS
HEATERS / EVAPORATORS
INLET
(COLD)
OUTLET
(HOT)
OUTLET
(COLD)
INLET
(HOT)
SHELLAND TUBE
SHELL CONSTRUCTION Type “F”
COOLERS / CONDENSERS
HEATERS / EVAPORATORS
INLET
(COLD)
OUTLET
(HOT)
OUTLET
(COLD)
INLET
(HOT)
Two pass shell
SHELLAND TUBE
SHELL CONSTRUCTION Type “G”
COOLERS / CONDENSERS
HEATERS / EVAPORATORS
INLET
(COLD)
OUTLET
(HOT)
OUTLET
(COLD)
INLET
(HOT)
Split flow shell
SHELLAND TUBE
SHELL CONSTRUCTION Type “H”
Double split flow
LONGITUDINAL BAFFLES
(solid or perforated)
SHELLAND TUBE
SHELL CONSTRUCTION Type “H”
Double split flow
HEATERS / EVAPORATORS
INLET
(COLD)
OUTLET
(HOT)
SHELLAND TUBE
SHELL CONSTRUCTION Type “H”
Double split flow
COOLERS / CONDENSERS
INLET
(HOT)
OUTLET
(COLD)
SHELLAND TUBE
SHELL CONSTRUCTION Type “J”
Divided flow
Suitable for low pressure drop requirements
SHELLAND TUBE
SHELL CONSTRUCTION Type “J”
Divided flow
HEATERS / EVAPORATORS
INLET
(COLD)
OUTLET
(HOT)
SHELLAND TUBE
SHELL CONSTRUCTION Type “J”
Divided flow
COOLERS / CONDENSERS
INLET
(HOT)
OUTLET
(COLD)
SHELLAND TUBE
SHELL CONSTRUCTION Type “K”
Kettle reboiler
DOME SPACE
WEIR
(welded to the shell)
SHELLAND TUBE
SHELL CONSTRUCTION Type “K”
Kettle reboiler
VAPOR
LIQUID
SHELL INLET
SHELLAND TUBE
SHELL CONSTRUCTION Type “K”
Kettle reboiler
VAPOR
LIQUID
SHELL INLET
TUBE
INLET
TUBE
OUTLET
SHELLAND TUBE
SHELL CONSTRUCTION Type “X”
Cross flow shell
Suitable for low pressure drop requirements
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Introduction
Tube sheet
Baffles
Tube
Tie rods
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Introduction
Baffles
Provide support to the tubes
Prevent damage from mechanical vibrations
Direct the flow through the shell side
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Introduction
Baffles
Segmental baffles
Tie rods and spacers
Impingement baffles
Vapor distribution
Tube bundle bypassing
Longitudinal baffles
Single segmental baffle arrangement
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Segmental baffles
Shell
Shell
Baffle pitch Baffle pitch
Baffle
Baffle
Minimum baffle spacing is 1/5th of the shell diameter
and not less than 2” (50.8 mm)
Maximum unsupported tube span :
74 d0.75 d : tube OD (in)
29
Cu
COPPER
63.546
13
Al
ALUMINUM
26.982
(1-0.12) x 74 d0.75
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Segmental baffles
Shell
Baffle pitch
Baffle
Baffle
Cross flow velocity
Baffle pitch
Heat transfer coeff.
Pressure drop
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Segmental baffles
No tubes in window
4
Single
1
Triple segmental
3
Double
2
Window-cut baffle
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Tie rods and spacers
Tube bundle assembly
Tube
Tie rod
Spacer
Baffle
Screws into the stationary
tube sheet on one side
Secures the last baffle with
a nut on the other end
Tie rods  Hold the baffles in place
Spacers  Locate the the baffles
Reduce bypassing of the tubes
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Impingement baffles
at high velocity
condensing
a two phase fluid
When the shell side fluid is :
The tube bundle should be protected
against impingement
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Impingement baffles
BAFFLE
Cross sectional view
Shell inlet nozzle
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Vapor distribution
COOLERS / CONDENSERS
More inlet nozzles
Larger inlet nozzles
SHELL OUTLET NOZZLE
(Liquid)
LARGE INLET NOZZLE
(Vapor)
1 3
2
Inlet nozzle Inlet nozzle
Inlet nozzle
Vapor distribution system
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES
Tube bundle bypassing
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Tube bundle bypassing
Shell side heat transfer rates
Tube bundle bypassing
Shell
Outer tube limit
Outer tube limit
Clearance
between outer tube limit
and shell
Clearance
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Tube bundle bypassing
Shell side heat transfer rates
Tube bundle bypassing
Shell
Clearance
between longitudinal baffle
and shell
Clearance
Longitudinal baffle
Cross sectional view
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Tube bundle bypassing
Shell side heat transfer rates
Tube bundle bypassing
Clearance
between longitudinal baffle
and shell
Clearance
Cross sectional view
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Tube bundle bypassing
Reducing tube bundle bypassing
Sealing strip
Sealing strip
Bypass restricted
with sealing strips
Bypass without
sealing strips
Sealing strips
Extend from baffle to baffle
Inserted in slots cut into the baffle
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Longitudinal baffles
Longitudinal baffle
Longitudinal baffles can be insulated
to improve thermal efficiency !!!
FIXED TUBE SHEET
Longitudinal baffle  Achieve multi-passes in HX shells
SHELLAND TUBE
BAFFLE AND TUBE BUNDLES Longitudinal baffles
Longitudinal baffle
Longitudinal baffles can be insulated
to improve thermal efficiency !!!
Longitudinal baffle welded to the shell
Weld
Bypassing
restricted
Bypassing
restricted
Cross sectional view
FIXED TUBE SHEET
MORE ON TUBE PATTERN
DESIGN OF HEAT EXCHANGERS
SQUARE
ROTATED
SQUARE
TRIANGULAR
Good heat transfer
More tubes can fit
in the shell
To be used for severe fouling
on the shell side
HOW TO CONNECT
DESIGN OF HEAT EXCHANGERS
MULTIPLE HX IN SERIES
T1 : Shell-side inlet temperature (°C)
T2 : Shell-side outlet temperature (°C)
t1 : Tube-side inlet temperature (°C)
t2 : Tube-side outlet temperature (°C)
T1
T2
t1
t2
T2
t1
T1
t2
T2
t1
T1
t2
2 exchangers
1 exchanger 3 exchangers
DESIGN OF HEAT EXCHANGERS
INFLUENCE OF BYPASS STREAMS ON LMTD
Longitudinal baffle
Bypass through
clearance
Bypass through
clearance
Shell
 Therefore only a part of the shell-side product
stream is heated or cooled
 This part is heated or cooled more because
the flow is smaller !!!
Tube bundle bypassing
LMTD
TUBE BUNDLE BYPASSING
DESIGN OF HEAT EXCHANGERS
MORE ON THE TUBE SIDE HEAT TRANSFER COEFF.
The flow velocity and the heat transfer coefficient can be increased
through a multipass arrangement
Tube side flow velocity
Tube side flow cross section
Keep in mind, in a multipass arrangement :
Tube side heat transfer coeff. Increase of the pressure loss
Reduction of the effective temperature difference
There is no ideal countercurrent flow
DESIGN OF HEAT EXCHANGERS
MORE ON THE SHELL SIDE HEAT TRANSFER COEFF.
SHELL SIDE PRODUCT STREAMS ACCORDING TO TINKER
T. Tinker, Shell side characteristics of shell and tube HX, Trans. ASME 80
Stream A : Leakage stream through the gap between the tubes and the baffle holes
Shell
Shell
Baffle
Baffle holes
DESIGN OF HEAT EXCHANGERS
MORE ON THE SHELL SIDE HEAT TRANSFER COEFF.
SHELL SIDE PRODUCT STREAMS ACCORDING TO TINKER
T. Tinker, Shell side characteristics of shell and tube HX, Trans. ASME 80
Stream A : Leakage stream through the gap between the tubes and the baffle holes
Stream B : Cross stream through the bundle
Shell
Shell
Baffle
Baffle holes
DESIGN OF HEAT EXCHANGERS
MORE ON THE SHELL SIDE HEAT TRANSFER COEFF.
SHELL SIDE PRODUCT STREAMS ACCORDING TO TINKER
T. Tinker, Shell side characteristics of shell and tube HX, Trans. ASME 80
Stream A : Leakage stream through the gap between the tubes and the baffle holes
Stream B : Cross stream through the bundle
Stream C : Bypass stream through the annular gap between the bundle and the shell
Shell
Shell
Baffle
Baffle holes
DESIGN OF HEAT EXCHANGERS
MORE ON THE SHELL SIDE HEAT TRANSFER COEFF.
SHELL SIDE PRODUCT STREAMS ACCORDING TO TINKER
T. Tinker, Shell side characteristics of shell and tube HX, Trans. ASME 80
Stream A : Leakage stream through the gap between the tubes and the baffle holes
Stream B : Cross stream through the bundle
Stream C : Bypass stream through the annular gap between the bundle and the shell
Stream D : Bypass stream between the baffle and the shell
Shell
Shell
Baffle
Baffle holes
DESIGN OF HEAT EXCHANGERS
IMPORTANT NOTES TO REMEMBER !!!
To reduce the pressure loss on the shell side :
Alter the baffle spacing and baffle arrangement
Use larger pitch or quadratic pitch
Use shorter tube lengths
Use larger nozzle diameter
Install a pure cross stream heat exchanger (TEMA “J” or “X”)
DESIGN OF HEAT EXCHANGERS
IMPORTANT NOTES TO REMEMBER !!!
What is important for
a heat exchanger ?
High flow velocity
Low bypass and leakage streams
Multiple passes on the tube side
Small clearance between tube and baffle plate holes
Small clearance between baffle and shell
Longitudinal plates or sealing strips
DESIGN OF HEAT EXCHANGERS
Shell outer diameter (Do)
Shell inner diameter (Di)
Sealing strips
(limit bypass stream)
Tie rods
(support tube bundle)
Shell outer limit diameter (DH)
(envelope of tube pattern)
ROTATED
SQUARE
Pitch (T)
Tube outer diameter (do)
Tube inner diameter (di)
DESIGN OF HEAT EXCHANGERS
Baffle
(front one, another baffle oriented
upside down is behind it)
(alternating baffle arrengement)
DESIGN OF HEAT EXCHANGERS
“Rear” baffle
Baffle
(front one, another baffle oriented
upside down is behind it)
(alternating baffle arrengement)
Segmental height (H)
(height of the baffle cut)
DESIGN OF HEAT EXCHANGERS
Total number of tubes (n)
DESIGN OF HEAT EXCHANGERS
Number of tubes in cross stream
on the center line (nacr)
DESIGN OF HEAT EXCHANGERS
Number of vertical tube rows (ntv)
DESIGN OF HEAT EXCHANGERS
Baffle
Segmental height (H)
(height of the baffle cut)
#1
Baffle window #1
Number of tubes in the baffle
window (nw)
DESIGN OF HEAT EXCHANGERS
Number of tubes in the baffle
window (nw) Baffle
Segmental height (H)
(height of the baffle cut)
#2
Baffle window #2
DESIGN OF HEAT EXCHANGERS
Segmental height (H)
(height of the baffle cut)
Baffle window #1
Baffle window #2
DESIGN OF HEAT EXCHANGERS
Segmental height (H)
(height of the baffle cut)
Baffle window #1
Baffle window #2
Number of vertical tube rows
between baffle windows (ncross)
FOULING TENDENCIES
GUIDELINES FOR ALLOCATION OF STREAMS
Fouling on tubes
HX thermal performance
Tubes pressure drop
Minimize fouling
Facilitate cleaning
FOULING TENDENCIES
GUIDELINES FOR ALLOCATION OF STREAMS
Fixed tube sheet HX
BEM
Clean fluid
Dirty fluid
CORROSION
GUIDELINES FOR ALLOCATION OF STREAMS
Can cause severe damage to the heat exchanger !
The shell need not be made
of corrosion resistant material
CORROSION
GUIDELINES FOR ALLOCATION OF STREAMS
The shell need not be made
of corrosion resistant material
Made of corrosion
resistant alloys
CORROSION
GUIDELINES FOR ALLOCATION OF STREAMS
The shell need not be made
of corrosion resistant material
Made of corrosion
resistant alloys
If the corrosion cannot be effectively prevented but slowed
by choice of material, a design must be chosen in which
corrodible components can be easily replaced !!!
CORROSION
GUIDELINES FOR ALLOCATION OF STREAMS
The shell need not be made
of corrosion resistant material
Made of corrosion
resistant alloys
COOLING WATER
CRITICALITY OF FLUIDS
GUIDELINES FOR ALLOCATION OF STREAMS
Should be positively contained to prevent leaks !!!
AES
AEP
AJW
AKT
PHYSICAL STATE
GUIDELINES FOR ALLOCATION OF STREAMS
OF THE FLUIDS
The shell side tends to be preferred
for services with phase changes !
Kettle type floating head reboiler
AKT
Larger cross section
Lower pressure drops
OPERATING PRESSURE
GUIDELINES FOR ALLOCATION OF STREAMS
AND TEMPERATURE
Temperature / Pressure
Metal thickness
Cost of HX construction
High Temp. / P fluid
The tubes being smaller in Φ than
the shell, withstand higher pressures
ALLOWABLE
GUIDELINES FOR ALLOCATION OF STREAMS
PRESSURE DROP
Fluids with low allowable pressure drop
should be placed on the tube side
Low allowable dP
Streamlined flow
Lower turbulence
Tubes facilitate :
To obtain an economic design  high heat transfer coefficients are required
Heat transfer coefficients
Flow turbulence
• Highly viscous fluids
• Low flowrates
Re < 200
Use a high number of tube
passes to velocity
GUIDELINES FOR ALLOCATION OF STREAMS
HIGH VISCOSITY LOW FLOWRATES
FLUID VELOCITY
GUIDELINES FOR ALLOCATION OF STREAMS
High velocity fluid  Tube side
Velocity
Heat transfer coefficients
Fouling
High velocity fluids
LOW HEAT
GUIDELINES FOR ALLOCATION OF STREAMS
TRANSFER COEFF.
Low heat transfer coeff. fluids  Shell side
Tube
Tie rod
Spacer
Baffle
THERMAL EXPANSION
GUIDELINES FOR ALLOCATION OF STREAMS
Temperature change > 150 °C
High temperature change fluid
The shell better able to handle
large temperature changes !
FLUID ALLOCATION : WHAT YOU SHOULD REMEMBER
GUIDELINES FOR ALLOCATION OF STREAMS
side
Tube
Fouling, erosive or corrosive fluids
Toxic, lethal or valuable fluids
Fluids with less allowable pressure drop
Less viscous fluids
Higher pressure / Higher temperature fluids
Fluids with higher volumetric flowrate
Cooling water
NOTE :
While deciding the fluid allocation, many trade-offs are made in heat transfer coefficients, pressure drops… None of the suggestions discussed in this section are definitive ! Use them only as a starting point.
GUIDELINES FOR ALLOCATION OF STREAMS
side
Viscous fluids
Fluids with lower volumetric flowrate
High temperature change fluids
Shell
NOTE :
While deciding the fluid allocation, many trade-offs are made in heat transfer coefficients, pressure drops… None of the suggestions discussed in this section are definitive ! Use them only as a starting point.
FLUID ALLOCATION : WHAT YOU SHOULD REMEMBER

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1. Course highlights.pdf

  • 2. INTRODUCTION TYPES OF HEAT EXCHANGERS Co-current Counter current In counter current flow, the hot and cold fluids flow in the opposite direction In co-current flow, both the hot and cold fluids flow in the same direction Tci : Cold fluid inlet temperature Thi : Hot fluid inlet temperature Tco : Cold fluid outlet temperature Tho : Hot fluid outlet temperature Tci Thi Tco Tho Tci : Cold fluid inlet temperature Thi : Hot fluid inlet temperature Tco : Cold fluid outlet temperature Tho : Hot fluid outlet temperature Thi Tho Tco Tci
  • 3. VARIOUS TYPES TYPES OF HEAT EXCHANGERS Shell and tube 1 Air cooled 2 Plate and frame 3 Spiral plate 4 Plate and fin 5 Spiral tube 6 Double pipe 7 Bayonet 8 Jacketed vessels 9 Fired heaters 0 1
  • 4. SHELL AND TUBE TYPES OF HEAT EXCHANGERS TEMA types Fluids characteristics (thermal properties, viscosities, fouling...) 1 Process conditions (t’puts, temperatures...) 2 Space required for the heat exchanger 3 Type and size of foundation 4 Maintenance costs 5 CONSIDERATIONS IN TEMA TYPE SELECTION
  • 5. SHELL AND TUBE TYPES OF HEAT EXCHANGERS TEMA types BEM Fixed tube sheet heat exchanger
  • 6. SHELL AND TUBE TYPES OF HEAT EXCHANGERS TEMA types U tube heat exchanger CFU
  • 7. SHELL AND TUBE TYPES OF HEAT EXCHANGERS TEMA types Outside packed stuffing box heat exchanger AEP
  • 8. SHELL AND TUBE TYPES OF HEAT EXCHANGERS TEMA types Outside packed lantern ring heat exchanger AJW
  • 9. SHELL AND TUBE TYPES OF HEAT EXCHANGERS TEMA types Internal floating head heat exchanger AES
  • 10. SHELL AND TUBE TYPES OF HEAT EXCHANGERS TEMA types Kettle type floating head reboiler AKT
  • 11. SHELL AND TUBE TYPES OF HEAT EXCHANGERS TEMA types AKT AES AJW AJW CFU BEM
  • 12. SHELL AND TUBE TYPES OF HEAT EXCHANGERS Floating tube sheet Straight tubes secured at both ends One tube sheet is free to move Tube bundle may be removed Covers, gaskets… are accessible for Mtce
  • 13. SHELL AND TUBE TYPES OF HEAT EXCHANGERS Floating tube sheet Outside packed stuffing box 1 Outside packed lantern ring 2 Internal floating head 3 AEP AJW AES
  • 14. AIR COOLERS TYPES OF HEAT EXCHANGERS Overview Forced draft Induced draft
  • 15. AIR COOLERS TYPES OF HEAT EXCHANGERS Forced draft / Induced draft Fan Tube bundle Hot process fluid Cold ambient air Cold ambient air Forced draft Induced draft Fan Tube bundle Hot process fluid AIR IS PUSHED AIR IS PULLED Cold ambient air Cold ambient air
  • 16. AIR COOLERS TYPES OF HEAT EXCHANGERS AIR IS PUSHED AIR IS PULLED Less horse power requirement More flexibility for mounting the unit More uniform air distribution Less exhaust air recirculation Less heat transfer area requirement Forced draft / Induced draft
  • 17. PLATE AND FRAME TYPES OF HEAT EXCHANGERS Overview Embossed plates Top carrying bar Bottom guide bar Frame plate (stationary) Pressure plate Gasket HOT IN COLD IN COLD OUT Corner openings HOT OUT
  • 18. PLATE AND FRAME TYPES OF HEAT EXCHANGERS Overview Construction details (single / double pass…) Design basis (Plates, gaskets…) Heat capacity control Maintenance practices (assembling, disassembling, cleaning, gasket replacement…) More on Plate HX further ahead :
  • 19. PLATE AND FIN TYPES OF HEAT EXCHANGERS Overview 13 Al ALUMINUM 26.982 29 Cu COPPER 63.546
  • 20. PLATE AND FIN TYPES OF HEAT EXCHANGERS Overview 13 Al ALUMINUM 26.982 29 Cu COPPER 63.546
  • 21. DOUBLE PIPE TYPES OF HEAT EXCHANGERS Overview True counter current flow Simplicity of construction Low cost Well adapted to high P / T applications Primarily used for low flow rates Jacketed pipe HX
  • 22. DOUBLE PIPE TYPES OF HEAT EXCHANGERS Overview Jacketed pipe HX
  • 23. DOUBLE PIPE TYPES OF HEAT EXCHANGERS Overview Jacketed pipe HX
  • 24. JACKETED VESSELS TYPES OF HEAT EXCHANGERS Overview Half-pipe coil jackets 2 Conventional jackets 1 Zone 2 : Cooling water in ~30°C Zone 1 : Cooling water in ~10°C Steam out (zone 1) Steam out (zone 2) Half pipes Vessel ZONE 2 ZONE 1 Half pipes Vessel
  • 25. TUBE CONSTRUCTION Introduction SHELLAND TUBE Tube Seamless Welded
  • 26. TUBE CONSTRUCTION Introduction SHELLAND TUBE Tube Seamless Welded
  • 27. TUBE CONSTRUCTION Introduction SHELLAND TUBE Tube Thin tubes Thick tubes Used when the tube material is expensive Used when the pressure requires greater strength Used with very corrosive fluids
  • 29. Type A Channel and removable cover Type B Bonnet (integral cover) Type C Channel integral with tubesheet Type D Special high pressure closure Type N Channel integral with tubesheet SHELLAND TUBE Stationary head
  • 30. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Encompass a maximum heat transfer surface Allow for cleanability inside and outside the tubes Unit area : It is the cross sectional area within the tube layout which encloses one tube within the framework of the spacing pattern
  • 31. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Equilateral triangular pitch 1 Flow perpendicular to 60° angle of unit area Flow perpendicular to 120° angle of unit area Square pitch 2 Diagonal square pitch 3 Pitch OD Tube #1 Tube #2
  • 32. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Flow perpendicular to 60° angle of unit area Equilateral triangular pitch 1 Square pitch 2 Diagonal square pitch 3 Suitable when not necessary to clean the tubes outside Does not provide access to the tubes The tubes can only be cleaned chemically
  • 33. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Flow perpendicular to 60° angle of unit area Equilateral triangular pitch 1 Square pitch 2 Diagonal square pitch 3
  • 34. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Flow perpendicular to 120° angle of unit area Square pitch 2 Diagonal square pitch 3 Equilateral triangular pitch 1
  • 35. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Equilateral triangular pitch 1 Diagonal square pitch 3 Square pitch 2 Mechanical cleaning of the tubes outside is possible
  • 36. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Equilateral triangular pitch 1 Diagonal square pitch 3 Square pitch 2 Mechanical cleaning of the tubes outside is possible
  • 37. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Equilateral triangular pitch 1 Square pitch 2 Diagonal square pitch 3
  • 38. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Equilateral triangular pitch 1 Square pitch 2 Diagonal square pitch 3
  • 39. TUBE CONSTRUCTION Tube layout SHELLAND TUBE Equilateral triangular pitch 1 Flow perpendicular to 60° angle of unit area Flow perpendicular to 120° angle of unit area Square pitch 2 Diagonal square pitch 3 Pitch OD Tube #1 Tube #2
  • 40. TUBE CONSTRUCTION Tube sheet SHELLAND TUBE Tubes Tube sheet Holes in the tube sheet Expanded into grooves cut into the tube sheet Welded to the tube sheet
  • 41. TUBE CONSTRUCTION Tube sheet SHELLAND TUBE Tubes Tube sheet Holes in the tube sheet Example of a tube sheet Fixed Floating Single Double
  • 42. TUBE CONSTRUCTION Tube sheet Single tube sheet SHELLAND TUBE
  • 43. TUBE CONSTRUCTION Tube sheet SHELLAND TUBE Double tube sheet
  • 44. TUBE CONSTRUCTION Tube sheet SHELLAND TUBE Double tube sheet
  • 45. SHELLAND TUBE SHELL CONSTRUCTION Type “E” One pass shell COOLERS / CONDENSERS HEATERS / EVAPORATORS INLET (COLD) OUTLET (HOT) OUTLET (COLD) INLET (HOT)
  • 46. SHELLAND TUBE SHELL CONSTRUCTION Type “F” COOLERS / CONDENSERS HEATERS / EVAPORATORS INLET (COLD) OUTLET (HOT) OUTLET (COLD) INLET (HOT) Two pass shell
  • 47. SHELLAND TUBE SHELL CONSTRUCTION Type “G” COOLERS / CONDENSERS HEATERS / EVAPORATORS INLET (COLD) OUTLET (HOT) OUTLET (COLD) INLET (HOT) Split flow shell
  • 48. SHELLAND TUBE SHELL CONSTRUCTION Type “H” Double split flow LONGITUDINAL BAFFLES (solid or perforated)
  • 49. SHELLAND TUBE SHELL CONSTRUCTION Type “H” Double split flow HEATERS / EVAPORATORS INLET (COLD) OUTLET (HOT)
  • 50. SHELLAND TUBE SHELL CONSTRUCTION Type “H” Double split flow COOLERS / CONDENSERS INLET (HOT) OUTLET (COLD)
  • 51. SHELLAND TUBE SHELL CONSTRUCTION Type “J” Divided flow Suitable for low pressure drop requirements
  • 52. SHELLAND TUBE SHELL CONSTRUCTION Type “J” Divided flow HEATERS / EVAPORATORS INLET (COLD) OUTLET (HOT)
  • 53. SHELLAND TUBE SHELL CONSTRUCTION Type “J” Divided flow COOLERS / CONDENSERS INLET (HOT) OUTLET (COLD)
  • 54. SHELLAND TUBE SHELL CONSTRUCTION Type “K” Kettle reboiler DOME SPACE WEIR (welded to the shell)
  • 55. SHELLAND TUBE SHELL CONSTRUCTION Type “K” Kettle reboiler VAPOR LIQUID SHELL INLET
  • 56. SHELLAND TUBE SHELL CONSTRUCTION Type “K” Kettle reboiler VAPOR LIQUID SHELL INLET TUBE INLET TUBE OUTLET
  • 57. SHELLAND TUBE SHELL CONSTRUCTION Type “X” Cross flow shell Suitable for low pressure drop requirements
  • 58. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Introduction Tube sheet Baffles Tube Tie rods
  • 59. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Introduction Baffles Provide support to the tubes Prevent damage from mechanical vibrations Direct the flow through the shell side
  • 60. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Introduction Baffles Segmental baffles Tie rods and spacers Impingement baffles Vapor distribution Tube bundle bypassing Longitudinal baffles
  • 61. Single segmental baffle arrangement SHELLAND TUBE BAFFLE AND TUBE BUNDLES Segmental baffles Shell Shell Baffle pitch Baffle pitch Baffle Baffle Minimum baffle spacing is 1/5th of the shell diameter and not less than 2” (50.8 mm) Maximum unsupported tube span : 74 d0.75 d : tube OD (in) 29 Cu COPPER 63.546 13 Al ALUMINUM 26.982 (1-0.12) x 74 d0.75
  • 62. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Segmental baffles Shell Baffle pitch Baffle Baffle Cross flow velocity Baffle pitch Heat transfer coeff. Pressure drop
  • 63. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Segmental baffles No tubes in window 4 Single 1 Triple segmental 3 Double 2 Window-cut baffle
  • 64. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Tie rods and spacers Tube bundle assembly Tube Tie rod Spacer Baffle Screws into the stationary tube sheet on one side Secures the last baffle with a nut on the other end Tie rods  Hold the baffles in place Spacers  Locate the the baffles Reduce bypassing of the tubes
  • 65. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Impingement baffles at high velocity condensing a two phase fluid When the shell side fluid is : The tube bundle should be protected against impingement
  • 66. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Impingement baffles BAFFLE Cross sectional view Shell inlet nozzle
  • 67. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Vapor distribution COOLERS / CONDENSERS More inlet nozzles Larger inlet nozzles SHELL OUTLET NOZZLE (Liquid) LARGE INLET NOZZLE (Vapor) 1 3 2 Inlet nozzle Inlet nozzle Inlet nozzle Vapor distribution system
  • 68. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Tube bundle bypassing
  • 69. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Tube bundle bypassing Shell side heat transfer rates Tube bundle bypassing Shell Outer tube limit Outer tube limit Clearance between outer tube limit and shell Clearance
  • 70. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Tube bundle bypassing Shell side heat transfer rates Tube bundle bypassing Shell Clearance between longitudinal baffle and shell Clearance Longitudinal baffle Cross sectional view
  • 71. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Tube bundle bypassing Shell side heat transfer rates Tube bundle bypassing Clearance between longitudinal baffle and shell Clearance Cross sectional view
  • 72. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Tube bundle bypassing Reducing tube bundle bypassing Sealing strip Sealing strip Bypass restricted with sealing strips Bypass without sealing strips Sealing strips Extend from baffle to baffle Inserted in slots cut into the baffle
  • 73. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Longitudinal baffles Longitudinal baffle Longitudinal baffles can be insulated to improve thermal efficiency !!! FIXED TUBE SHEET Longitudinal baffle  Achieve multi-passes in HX shells
  • 74. SHELLAND TUBE BAFFLE AND TUBE BUNDLES Longitudinal baffles Longitudinal baffle Longitudinal baffles can be insulated to improve thermal efficiency !!! Longitudinal baffle welded to the shell Weld Bypassing restricted Bypassing restricted Cross sectional view FIXED TUBE SHEET
  • 75. MORE ON TUBE PATTERN DESIGN OF HEAT EXCHANGERS SQUARE ROTATED SQUARE TRIANGULAR Good heat transfer More tubes can fit in the shell To be used for severe fouling on the shell side
  • 76. HOW TO CONNECT DESIGN OF HEAT EXCHANGERS MULTIPLE HX IN SERIES T1 : Shell-side inlet temperature (°C) T2 : Shell-side outlet temperature (°C) t1 : Tube-side inlet temperature (°C) t2 : Tube-side outlet temperature (°C) T1 T2 t1 t2 T2 t1 T1 t2 T2 t1 T1 t2 2 exchangers 1 exchanger 3 exchangers
  • 77. DESIGN OF HEAT EXCHANGERS INFLUENCE OF BYPASS STREAMS ON LMTD Longitudinal baffle Bypass through clearance Bypass through clearance Shell  Therefore only a part of the shell-side product stream is heated or cooled  This part is heated or cooled more because the flow is smaller !!! Tube bundle bypassing LMTD TUBE BUNDLE BYPASSING
  • 78. DESIGN OF HEAT EXCHANGERS MORE ON THE TUBE SIDE HEAT TRANSFER COEFF. The flow velocity and the heat transfer coefficient can be increased through a multipass arrangement Tube side flow velocity Tube side flow cross section Keep in mind, in a multipass arrangement : Tube side heat transfer coeff. Increase of the pressure loss Reduction of the effective temperature difference There is no ideal countercurrent flow
  • 79. DESIGN OF HEAT EXCHANGERS MORE ON THE SHELL SIDE HEAT TRANSFER COEFF. SHELL SIDE PRODUCT STREAMS ACCORDING TO TINKER T. Tinker, Shell side characteristics of shell and tube HX, Trans. ASME 80 Stream A : Leakage stream through the gap between the tubes and the baffle holes Shell Shell Baffle Baffle holes
  • 80. DESIGN OF HEAT EXCHANGERS MORE ON THE SHELL SIDE HEAT TRANSFER COEFF. SHELL SIDE PRODUCT STREAMS ACCORDING TO TINKER T. Tinker, Shell side characteristics of shell and tube HX, Trans. ASME 80 Stream A : Leakage stream through the gap between the tubes and the baffle holes Stream B : Cross stream through the bundle Shell Shell Baffle Baffle holes
  • 81. DESIGN OF HEAT EXCHANGERS MORE ON THE SHELL SIDE HEAT TRANSFER COEFF. SHELL SIDE PRODUCT STREAMS ACCORDING TO TINKER T. Tinker, Shell side characteristics of shell and tube HX, Trans. ASME 80 Stream A : Leakage stream through the gap between the tubes and the baffle holes Stream B : Cross stream through the bundle Stream C : Bypass stream through the annular gap between the bundle and the shell Shell Shell Baffle Baffle holes
  • 82. DESIGN OF HEAT EXCHANGERS MORE ON THE SHELL SIDE HEAT TRANSFER COEFF. SHELL SIDE PRODUCT STREAMS ACCORDING TO TINKER T. Tinker, Shell side characteristics of shell and tube HX, Trans. ASME 80 Stream A : Leakage stream through the gap between the tubes and the baffle holes Stream B : Cross stream through the bundle Stream C : Bypass stream through the annular gap between the bundle and the shell Stream D : Bypass stream between the baffle and the shell Shell Shell Baffle Baffle holes
  • 83. DESIGN OF HEAT EXCHANGERS IMPORTANT NOTES TO REMEMBER !!! To reduce the pressure loss on the shell side : Alter the baffle spacing and baffle arrangement Use larger pitch or quadratic pitch Use shorter tube lengths Use larger nozzle diameter Install a pure cross stream heat exchanger (TEMA “J” or “X”)
  • 84. DESIGN OF HEAT EXCHANGERS IMPORTANT NOTES TO REMEMBER !!! What is important for a heat exchanger ? High flow velocity Low bypass and leakage streams Multiple passes on the tube side Small clearance between tube and baffle plate holes Small clearance between baffle and shell Longitudinal plates or sealing strips
  • 85. DESIGN OF HEAT EXCHANGERS Shell outer diameter (Do) Shell inner diameter (Di) Sealing strips (limit bypass stream) Tie rods (support tube bundle) Shell outer limit diameter (DH) (envelope of tube pattern) ROTATED SQUARE Pitch (T) Tube outer diameter (do) Tube inner diameter (di)
  • 86. DESIGN OF HEAT EXCHANGERS Baffle (front one, another baffle oriented upside down is behind it) (alternating baffle arrengement)
  • 87. DESIGN OF HEAT EXCHANGERS “Rear” baffle Baffle (front one, another baffle oriented upside down is behind it) (alternating baffle arrengement) Segmental height (H) (height of the baffle cut)
  • 88. DESIGN OF HEAT EXCHANGERS Total number of tubes (n)
  • 89. DESIGN OF HEAT EXCHANGERS Number of tubes in cross stream on the center line (nacr)
  • 90. DESIGN OF HEAT EXCHANGERS Number of vertical tube rows (ntv)
  • 91. DESIGN OF HEAT EXCHANGERS Baffle Segmental height (H) (height of the baffle cut) #1 Baffle window #1 Number of tubes in the baffle window (nw)
  • 92. DESIGN OF HEAT EXCHANGERS Number of tubes in the baffle window (nw) Baffle Segmental height (H) (height of the baffle cut) #2 Baffle window #2
  • 93. DESIGN OF HEAT EXCHANGERS Segmental height (H) (height of the baffle cut) Baffle window #1 Baffle window #2
  • 94. DESIGN OF HEAT EXCHANGERS Segmental height (H) (height of the baffle cut) Baffle window #1 Baffle window #2 Number of vertical tube rows between baffle windows (ncross)
  • 95. FOULING TENDENCIES GUIDELINES FOR ALLOCATION OF STREAMS Fouling on tubes HX thermal performance Tubes pressure drop Minimize fouling Facilitate cleaning
  • 96. FOULING TENDENCIES GUIDELINES FOR ALLOCATION OF STREAMS Fixed tube sheet HX BEM Clean fluid Dirty fluid
  • 97. CORROSION GUIDELINES FOR ALLOCATION OF STREAMS Can cause severe damage to the heat exchanger ! The shell need not be made of corrosion resistant material
  • 98. CORROSION GUIDELINES FOR ALLOCATION OF STREAMS The shell need not be made of corrosion resistant material Made of corrosion resistant alloys
  • 99. CORROSION GUIDELINES FOR ALLOCATION OF STREAMS The shell need not be made of corrosion resistant material Made of corrosion resistant alloys If the corrosion cannot be effectively prevented but slowed by choice of material, a design must be chosen in which corrodible components can be easily replaced !!!
  • 100. CORROSION GUIDELINES FOR ALLOCATION OF STREAMS The shell need not be made of corrosion resistant material Made of corrosion resistant alloys COOLING WATER
  • 101. CRITICALITY OF FLUIDS GUIDELINES FOR ALLOCATION OF STREAMS Should be positively contained to prevent leaks !!! AES AEP AJW AKT
  • 102. PHYSICAL STATE GUIDELINES FOR ALLOCATION OF STREAMS OF THE FLUIDS The shell side tends to be preferred for services with phase changes ! Kettle type floating head reboiler AKT Larger cross section Lower pressure drops
  • 103. OPERATING PRESSURE GUIDELINES FOR ALLOCATION OF STREAMS AND TEMPERATURE Temperature / Pressure Metal thickness Cost of HX construction High Temp. / P fluid The tubes being smaller in Φ than the shell, withstand higher pressures
  • 104. ALLOWABLE GUIDELINES FOR ALLOCATION OF STREAMS PRESSURE DROP Fluids with low allowable pressure drop should be placed on the tube side Low allowable dP Streamlined flow Lower turbulence Tubes facilitate :
  • 105. To obtain an economic design  high heat transfer coefficients are required Heat transfer coefficients Flow turbulence • Highly viscous fluids • Low flowrates Re < 200 Use a high number of tube passes to velocity GUIDELINES FOR ALLOCATION OF STREAMS HIGH VISCOSITY LOW FLOWRATES
  • 106. FLUID VELOCITY GUIDELINES FOR ALLOCATION OF STREAMS High velocity fluid  Tube side Velocity Heat transfer coefficients Fouling High velocity fluids
  • 107. LOW HEAT GUIDELINES FOR ALLOCATION OF STREAMS TRANSFER COEFF. Low heat transfer coeff. fluids  Shell side Tube Tie rod Spacer Baffle
  • 108. THERMAL EXPANSION GUIDELINES FOR ALLOCATION OF STREAMS Temperature change > 150 °C High temperature change fluid The shell better able to handle large temperature changes !
  • 109. FLUID ALLOCATION : WHAT YOU SHOULD REMEMBER GUIDELINES FOR ALLOCATION OF STREAMS side Tube Fouling, erosive or corrosive fluids Toxic, lethal or valuable fluids Fluids with less allowable pressure drop Less viscous fluids Higher pressure / Higher temperature fluids Fluids with higher volumetric flowrate Cooling water NOTE : While deciding the fluid allocation, many trade-offs are made in heat transfer coefficients, pressure drops… None of the suggestions discussed in this section are definitive ! Use them only as a starting point.
  • 110. GUIDELINES FOR ALLOCATION OF STREAMS side Viscous fluids Fluids with lower volumetric flowrate High temperature change fluids Shell NOTE : While deciding the fluid allocation, many trade-offs are made in heat transfer coefficients, pressure drops… None of the suggestions discussed in this section are definitive ! Use them only as a starting point. FLUID ALLOCATION : WHAT YOU SHOULD REMEMBER