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Fluid Bed Reactors
Chapter (Not in book)
CH EN 4393
Terry A. Ring
Fluidization
• Minimum Fluidization
– Void Fraction
– Superficial Velocity
• Bubbling Bed Expansion
• Prevent Slugging
– Poor gas/solid contact
Fluidization
• Fluid Bed
– Particles
– mean particle size, Angular
• Shape Factor
• Void fraction = 0.4 (bulk density)
Geldart, D. Powder Technology
7,285(1973), 19,133(1978)
Fluidization
Regimes
Fluidization Regimes
• Packed Bed
• Minimum Fluidization
• Bubbling Fluidization
• Slugging (in some cases)
• Turbulent Fluidization
Minimum Fluidization
• Bed Void Fraction at Minimum Fluidization
Overlap of phenomenon
• Kinetics
– Depend upon solid content in bed
• Mass Transfer
– Depends upon particle Re number
• Heat Transfer
– Depends upon solid content in bed and gas Re
• Fluid Dynamics
– Fluidization – function of particle Re
– Particle elution rate – terminal settling rate vs gas
velocity
– Distribution Plate Design to prevent channeling
Packed Bed
• Pressure Drop
P vo
  LR
vo

Dp
1 


3







150 1 

( )
 

Dp
1.75 
 vo

















Void Fraction, ε=0.2-0.4, Fixed
0 0.2 0.4 0.6 0.8
10
100
1 10
3

1 10
4

1 10
5

P v
ft
s








psi
v
Now if particles are free to move?
• Void Fraction
0 0.2 0.4
0
0.2
0.4
0.6
0.8
Superficial Gas Velocity (ft/s)
Bed
Void
Fraction
f vo
ft
s







mf
f vR
 
vo
Gmf

ft
s

vR
ft
s

50 1 f vo
 

 
 
  vo 1 
 150 1 

( )
 

 
Void Fraction, ε=0.2-0.4 packed
Becomes
εMF=0.19 to εF=0.8.
MF Pressure drop equals the weight of Bed
0
15 
2
 1 

( )


3
 vo
 Dp



1.75 


3
 vo
 Dp








2


Dp
3
S 

 
 
 g


2

Fluid Bed Pressure Drop
• Lower Pressure Drop
@ higher gas velocity
• Highest Pressure
Drop at onset of
fluidization
0 0.2 0.4
0
20
40
60
Superficial Gas Velocity (ft/s)
Pressure
Drop
(psi)
P f vo
ft
s
 







psi
P mf
psi
P f vR 

 
psi
vo
Gmf

ft
s

vR
ft
s

Bed at Fluidization Conditions
• Void Fraction is High
• Solids Content is Low
• Surface Area for Reaction is Low
• Pressure Drop is Low
• Good Heat Transfer
• Good Mass Transfer
Distributor Plate Design
• Pressure Drop over the Distributor Plate
should be 30% of Total Pressure Drop (
bed and distributor)
– Pressure drop at distributor is ½ bed pressure
drop.
• Bubble Cap Design is often used
Bubble Caps
• Advantages
– Weeping is reduced or totally avoided
• Sbc controls weeping
– Good turndown ratio
– Caps stiffen distributor plate
– Number easily modified
• Disadvantages
– Expensive
– Difficult to avoid stagnant regions
– More subject to bubble coalescence
– Difficult to clean
– Difficult to modify
From Handbook of Fluidization and Fluid-Particle Systems By Wen-Ching Yang
Bubble Cap Design
• Pressure drop controlled by
– number of caps
– stand pipe diameter
– number of holes
• Large number of caps
– Good Gas/Solid Contact
• Minimize dead zones
• Less bubble coalescence
– Low Pressure Drop
Pressure Drop in Bubble Caps
• Pressure Drop Calculation Method
• Compressible Fluid
• Turbulent Flow
– Sudden Contraction from Plenum to
Bottom of Distributor Plate
– Flow through Pipe
– Sudden Contraction from Pipe to hole
– Flow through hole
– Sudden Expansion into Cap
Elution of Particles from Bed
• Particle Terminal
Setting Velocity
• When particles are
small they leave bed
Terminal Settling Velocity
0 50 100 150 200
0
1
2
3
4
ParticleDiameter (microns)
Terminal
Settling
Velocity
(ft/s)
Gas Velocity
vt
4
3
g Dp

f

S 








 2
Dp
2






2

S 

  g

9 


Cyclone
• Used to capture
eluted particles and
return to fluid bed
• Design to capture
most of eluted
particles
• Pressure Drop
Big particles
P i V
( ) 0.24 
 V
2


Cyclone Design
• Inlet Velocity as a function of
Cyclone Size
• Cut Size (D50%)
Cyclone Equations
Perry's HB 5th ed,
+7th ed, 17-28
Vin Dc
 
QR
Dc
2
4 2


D50 Dc
   N Vi







D50 Dc
 
9 

Dc
4

 N Vin Dc
 
 
 Vin Dc
 
 Si 

 









1
2

Dc = Cyclone diameter
Cyclone Cut Size
• Diameter where
50% leave, 50%
captured
0 1 2 3 4
0
10
20
30
40
50
60
70
80
90
100
Cyclone Diameter(ft)
Cut
Size
Particle
Diameter
(microns)
D50
9 

Dc
4

 N
 Vin
 S 

 









1
2
Size Selectivity Curve
20 40 60
0
0.2
0.4
0.6
0.8
24 in cyclone
14 in cyclone
D50 for 24 in Cyclone
20 in cyclone
Diameter of Eluted Particles
Particle Diameter (microns)
Size
Selectivity SS D
( ) 1 exp 0.693

D
D50






3.12








Mass Transfer
• Particle Mass Transfer
– Sh= KMTD/DAB = 2.0 + 0.6 Re1/2 Sc1/3
• Bed Mass Transfer
– Complicated function of
• Gas flow
• Particles influence turbulence
• Particles may shorten BL
• Particles may be inert to MT
Fluid Bed Reactor Conclusions
• The hard part is to get the fluid dynamics
correct
• Kinetics, MT and HT are done within the
context of the fluid dynamics
Heat Transfer
• Particle Heat Transfer
– Nu= hD/k = 2.0 + 0.6 Re1/2 Pr1/3
• Bed Heat Transfer
– Complicated function of
• Gas flow
• Particle contacts

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14-L1-Fluid Bed Reactors.ppt

  • 1. Fluid Bed Reactors Chapter (Not in book) CH EN 4393 Terry A. Ring
  • 2. Fluidization • Minimum Fluidization – Void Fraction – Superficial Velocity • Bubbling Bed Expansion • Prevent Slugging – Poor gas/solid contact
  • 3. Fluidization • Fluid Bed – Particles – mean particle size, Angular • Shape Factor • Void fraction = 0.4 (bulk density) Geldart, D. Powder Technology 7,285(1973), 19,133(1978)
  • 5. Fluidization Regimes • Packed Bed • Minimum Fluidization • Bubbling Fluidization • Slugging (in some cases) • Turbulent Fluidization
  • 6. Minimum Fluidization • Bed Void Fraction at Minimum Fluidization
  • 7. Overlap of phenomenon • Kinetics – Depend upon solid content in bed • Mass Transfer – Depends upon particle Re number • Heat Transfer – Depends upon solid content in bed and gas Re • Fluid Dynamics – Fluidization – function of particle Re – Particle elution rate – terminal settling rate vs gas velocity – Distribution Plate Design to prevent channeling
  • 8. Packed Bed • Pressure Drop P vo   LR vo  Dp 1    3        150 1   ( )    Dp 1.75   vo                  Void Fraction, ε=0.2-0.4, Fixed 0 0.2 0.4 0.6 0.8 10 100 1 10 3  1 10 4  1 10 5  P v ft s         psi v
  • 9. Now if particles are free to move? • Void Fraction 0 0.2 0.4 0 0.2 0.4 0.6 0.8 Superficial Gas Velocity (ft/s) Bed Void Fraction f vo ft s        mf f vR   vo Gmf  ft s  vR ft s  50 1 f vo          vo 1   150 1   ( )      Void Fraction, ε=0.2-0.4 packed Becomes εMF=0.19 to εF=0.8. MF Pressure drop equals the weight of Bed 0 15  2  1   ( )   3  vo  Dp    1.75    3  vo  Dp         2   Dp 3 S        g   2 
  • 10. Fluid Bed Pressure Drop • Lower Pressure Drop @ higher gas velocity • Highest Pressure Drop at onset of fluidization 0 0.2 0.4 0 20 40 60 Superficial Gas Velocity (ft/s) Pressure Drop (psi) P f vo ft s          psi P mf psi P f vR     psi vo Gmf  ft s  vR ft s 
  • 11. Bed at Fluidization Conditions • Void Fraction is High • Solids Content is Low • Surface Area for Reaction is Low • Pressure Drop is Low • Good Heat Transfer • Good Mass Transfer
  • 12. Distributor Plate Design • Pressure Drop over the Distributor Plate should be 30% of Total Pressure Drop ( bed and distributor) – Pressure drop at distributor is ½ bed pressure drop. • Bubble Cap Design is often used
  • 13. Bubble Caps • Advantages – Weeping is reduced or totally avoided • Sbc controls weeping – Good turndown ratio – Caps stiffen distributor plate – Number easily modified • Disadvantages – Expensive – Difficult to avoid stagnant regions – More subject to bubble coalescence – Difficult to clean – Difficult to modify From Handbook of Fluidization and Fluid-Particle Systems By Wen-Ching Yang
  • 14. Bubble Cap Design • Pressure drop controlled by – number of caps – stand pipe diameter – number of holes • Large number of caps – Good Gas/Solid Contact • Minimize dead zones • Less bubble coalescence – Low Pressure Drop
  • 15. Pressure Drop in Bubble Caps • Pressure Drop Calculation Method • Compressible Fluid • Turbulent Flow – Sudden Contraction from Plenum to Bottom of Distributor Plate – Flow through Pipe – Sudden Contraction from Pipe to hole – Flow through hole – Sudden Expansion into Cap
  • 16. Elution of Particles from Bed • Particle Terminal Setting Velocity • When particles are small they leave bed Terminal Settling Velocity 0 50 100 150 200 0 1 2 3 4 ParticleDiameter (microns) Terminal Settling Velocity (ft/s) Gas Velocity vt 4 3 g Dp  f  S           2 Dp 2       2  S     g  9   
  • 17. Cyclone • Used to capture eluted particles and return to fluid bed • Design to capture most of eluted particles • Pressure Drop Big particles P i V ( ) 0.24   V 2  
  • 18. Cyclone Design • Inlet Velocity as a function of Cyclone Size • Cut Size (D50%) Cyclone Equations Perry's HB 5th ed, +7th ed, 17-28 Vin Dc   QR Dc 2 4 2   D50 Dc    N Vi        D50 Dc   9   Dc 4   N Vin Dc      Vin Dc    Si              1 2  Dc = Cyclone diameter
  • 19. Cyclone Cut Size • Diameter where 50% leave, 50% captured 0 1 2 3 4 0 10 20 30 40 50 60 70 80 90 100 Cyclone Diameter(ft) Cut Size Particle Diameter (microns) D50 9   Dc 4   N  Vin  S              1 2
  • 20. Size Selectivity Curve 20 40 60 0 0.2 0.4 0.6 0.8 24 in cyclone 14 in cyclone D50 for 24 in Cyclone 20 in cyclone Diameter of Eluted Particles Particle Diameter (microns) Size Selectivity SS D ( ) 1 exp 0.693  D D50       3.12        
  • 21. Mass Transfer • Particle Mass Transfer – Sh= KMTD/DAB = 2.0 + 0.6 Re1/2 Sc1/3 • Bed Mass Transfer – Complicated function of • Gas flow • Particles influence turbulence • Particles may shorten BL • Particles may be inert to MT
  • 22. Fluid Bed Reactor Conclusions • The hard part is to get the fluid dynamics correct • Kinetics, MT and HT are done within the context of the fluid dynamics
  • 23. Heat Transfer • Particle Heat Transfer – Nu= hD/k = 2.0 + 0.6 Re1/2 Pr1/3 • Bed Heat Transfer – Complicated function of • Gas flow • Particle contacts