Char Oxidation - Coal Combustion - Lecture Slides, Slides of Geochemistry

Geochemistry & Macromolecular Structure, Devolatilization , Char Oxidation, Mineral Matter, NOx, Practical Combustion & Gasification are major concepts/topics in Coal Combustion course. This lecture includes: Char Oxidation, Heats of Reaction, Effects of Co2 Formation, X Factor, Char Combustion Zones, Particle Energy Balance, Solution Strategy, X Factors in General, Diameter & Density Changes, Bob Hurt Model

Typology: Slides

2012/2013

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Char Oxidation
Char Oxidation Concepts
1.
2. CO/CO2ratio
3. nth order
4.
5. T dependence
6. dpdependence
7. CO CO2in boundary
layer (2-film model)
8. energy balance / iteration
9. Thiele modulus
10. Ian Smith reactivity
correlation
11. TGA rate vs high T rate
12. Catalytic effects at low T
13. Pressure effects
14. Correlations vs. chemistry
15. Late burnout ideas
16. N-release during char
oxidation
Order of Presentation
1. Basic concepts (film diffusion, surface
reaction), dp& T dependence, CO/CO2
ratio, , nth order, , Bob Hurt parameters
2. Intrinsic reactivities, Thiele modulus,
Reade-Hecker approach
3. Catalytic effects, pressure effects,
correlations vs elemental composition,
late burnout
Concepts
Question 1 (definitions)
film diffusion
surface reaction
pore diffusion
Question 2 (rate expressions)
pure film diffusion control
pure surface reaction control
Question 3 (1st order rate expression)
surface rxn = diffusion rate through film
Units must match (grams of C reacted/m2s)
Temperatur
e* Rxn controlled by What happens to
the particle
Zone 1 Low
(ca. 1100 -
1300K)
Intrinsic rxn rate inside
pores
Particle burns from
inside. Particle density
decreases while
particle size remains
the same.
Zone 2 Medium
(ca. 1300 –
1600K)
Both diffusion & reaction
kinetics. Consumption
of the reactant gas
exceeds the rate of
internal diffusion. The
reactant is consumed
before it reaches the
particle core.
Particle burns from
both inside and
outside. Particle size
and density both
decrease.
Zone 3 High
(ca.1600 –
2000K and
up)**
Film diffusion controls.
Reactant gas does not
have time to diffuse into
the particle before it
reacts at the particle
surface.
Particle burns from
outside. Particle
diameter decreases
and reactivity/porosity
remain constant.
Questions 3-4
3. Derivation of Eq. 6.19
4. What if n 1
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Char Oxidation

Char Oxidation Concepts

2. CO/CO 2 ratio

3. nth^ order

5. T dependence

6. dp dependence

7. CO  CO 2 in boundary

layer (2-film model)

8. energy balance / iteration

9. Thiele modulus

10. Ian Smith reactivity

correlation

11. TGA rate vs high T rate

12. Catalytic effects at low T

13. Pressure effects

14. Correlations vs. chemistry

15. Late burnout ideas

16. N-release during char

oxidation

Order of Presentation

  1. Basic concepts (film diffusion, surface

reaction), d

p

& T dependence, CO/CO

ratio, , n

th

order, , Bob Hurt parameters

  1. Intrinsic reactivities, Thiele modulus,

Reade-Hecker approach

  1. Catalytic effects, pressure effects,

correlations vs elemental composition,

late burnout

Concepts

  • Question 1 (definitions)
    • film diffusion
    • surface reaction
    • pore diffusion
  • Question 2 (rate expressions)
    • pure film diffusion control
    • pure surface reaction control
  • Question 3 (

st

order rate expression)

  • surface rxn = diffusion rate through film
  • Units must match (grams of C reacted/m

s)

Temperatur

e*

Rxn controlled by What happens to

the particle

Zone 1 Low (ca. 1100 - 1300K)

Intrinsic rxn rate inside pores

Particle burns from inside. Particle density decreases while particle size remains the same. Zone 2 Medium (ca. 1300 – 1600K)

Both diffusion & reaction kinetics. Consumption of the reactant gas exceeds the rate of internal diffusion. The reactant is consumed before it reaches the particle core.

Particle burns from both inside and outside. Particle size and density both decrease.

Zone 3 High (ca.1600 – 2000K and up)**

Film diffusion controls. Reactant gas does not have time to diffuse into the particle before it reacts at the particle surface.

Particle burns from outside. Particle diameter decreases and reactivity/porosity remain constant.

Questions 3-

  1. Derivation of Eq. 6.
  2. What if n  1

5. Effects of CO 2 Formation at Surface

C + O 2  CO 2

• Affects the consumption rate of O

  • More O 2 is used per C consumed

• Net heat of reaction increases as CO 2

production increases

• CO 2 a possibly a gasification agent

Heats of Reaction

  • C(s) + ½ O 2  CO H (^) c = -26.4 kcal/mol of C
  • C(s) + O 2  CO 2 H (^) c = -94.052 kcal/mol of C

EXOTHERMIC!!

  • CO + ½O 2  CO 2 H (^) c = -67.7 kcal/mol of C
  • In other words,
    • ⅓ of heat for C  CO
    • ⅔ of heat for CO  CO (^2)

 The  Factor

  • Definition:

where is the maximum rate defined by film

diffusion limitations

  • Useful to know how close you are to the

diffusion limit

  •  ==> 1 when at the diffusion limit
  •  << 1 when controlled by surface reaction

rp / rp , max  

r  p , max

Case 1: T

p

specified

p diff og os

r  k   

p diff og

r   k 

,max

  og g

os s

og

os

diff og

diff og os

P T

P T

k

k

Case 2: T

g

specified

• Constant Tg, but Tp changes with

• The energy equation becomes:

• so as increases, the particle temperature

increases (at constant Tg)

rp 

c rad p rxn

0  q  q  r  H

r p 

p diff T og

r k 

,max max

diffT og

diff og os

k

k

, max

Char Combustion Zones

• As 1, Zone III

• As 0, Zone I

• Everywhere else, Zone II

1/T

ln r

p

pore diff

chem rxn

film diff

1/T

ln r

p

pore diff

chem rxn

film diff

Diameter & Density Changes

  • We get m/m 0 from the rate equation, but

this does not tell us whether we have:

  • constant density burning
  • constant diameter burning
  • some combination
  • Let’s define a variable called  as follows:

3

0 0 0

d

d

m

m

 

 

 

  0 m 0

m

Diameter vs Density (cont)

  •  is the burning mode parameter
    • For constant density,  = 0
    • For constant diameter,  = 1
  • Combining definitions,

which simplifies to:

3

0 0 0

  

   

   

   

  d

d

m

m

m

m

 

 

 

  

 

 

 

d

d

m

m

  m

m

d

d and then

Bob Hurt Model (CBK)

(Question 7)

CO/CO 2 ratio

From Hurt and Mitchell, 1992

Question 7

Question 8

(1800 K, 10 mol% O 2 )

Chi

Diameter (microns)

Chi Factor

What is the point?

Question 9a

What is the point?

10% O2, 1400 K

Diameter (microns)

Chi Factor

10% O2, 1800 K
10% O2, 1400 K

Question 9a

What is the point?

21% O2, 1800 K

Diameter (microns)

Chi Factor

10% O2, 1800 K
21% O2, 1800 K

Question 9a

What is the point?

10% O2, 1800 K, 100 atm

Diameter (microns)

Chi Factor

10% O2, 1800 K
1800 K, 10% O2,

100 atm