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Konstantin Popov
Pyrolysis: thermal decomposition in the
absence of oxygen

Combustion of solids is gas phase
process supplied by gaseous fuel
produced during pyrolysis of the solid
~40% of all plastic
production
why
needed?
28.8 mln tons of
plastic landfilled
yearly (USA)
Only 4.77 mln
tons recycled
and combusted
(USA)

6.4 mln tons of
plastic circles the
globe in oceans

recycling
why
needed?
Majority of fire
victims are killed
by hazardous
products of
combustion

fire safety
why
needed?
Polyethylene
and other longchain alkanes: a
solid fuel for
hybrid rockets

solid rocket fuel
initial stages of
pyrolysis of
polyethylene
Reactive
Molecular
Dynamics
study

experimental
study using
GC and NMR

kinetic modeling
initial stages of
pyrolysis of
polyethylene
Reactive
Molecular
Dynamics
study

experimental
study using
GC and NMR

kinetic modeling
0

0.5

1

1.5

2
1100

ENERGY / KJ MOL-1

900
700

500
300
100
-100 0

1

2

3

DISTANCE BETWEEN C ATOMS / A

4

5
5

ENERGY / KJ MOL-1

4
3
2
1
0
-1

0

2

4

6
DISTANCE / A

8

10
temperature range: 2300 – 3100K
density range: 0 – 0.75 g cm-3
length of polymer chain: 500 monomer units (1000 C atoms)
periodic boundary conditions:
Millions

3100K, normal density

350
300

Keff / s-1

250
200
150

50-100 simulations
per point

100
50
0
0.3

0.4

0.5

0.6
RC

0.7

0.8

0.9
Two-step mechanism:
k1

(1) R-R ⇄ [R…R]
k-1

kD

(2) [R…R] → R + R
30

kD/keff*10-3

25
20

15

3100K,
normal
density

10
5
0
0

1

2

3

kD*10-12

4

5
30
short
separations

kD/keff*10-3

25
20

15

3100K,
normal
density

10
long
5 separations
0
0

1

2

3

kD*10-12

4

5
The effect of density:
9.5

vacuum
reduced density
normal density

Log(k1 / s-1)

9
8.5

8
7.5
7

6.5
6
0.3

0.35

0.4
1000 K/ T

0.45
The effect of polymer chain length:
8.5

1

log(k1 / s )

8.0

fixed p
fixed d

7.5

7.0

6.5
2

4

50

200

number of C atoms in a single molecule

1000
Although effects of condensed phase were
observed, their magnitude is not dramatic

Gas phase C-C scission rate constant can be
used in modeling condensed phase processes
This result of the RMD part will be used in
kinetic modeling of experimental observations
initial stages of
pyrolysis of
polyethylene
Reactive
Molecular
Dynamics
study

experimental
study using
GC and NMR

kinetic modeling
experimental apparatus
experimental apparatus

thermostat
experimental apparatus

stirrer
experimental apparatus

thermocouple
experimental apparatus

reactor
reactor

polyethylene
sample
temperature range: 400 – 440oC
time: 0 – 20 min

initial stages: abundances of vinyl groups
kept below 1%
Gas Chromatography
C5H12

C2H4

1-C6H12

2-C4H8
C2H6

1-C7H14

C3H8
C6H14

CH4

C7H16

1-C4H8
C3H6

C4H10
C8H18
1H

NMR
R-CH=CH-R

RR1C=CH2

-CH2-

R-CH=CH2

-CH3
13C

NMR

-CH2-

-CH3

-CH3
CHY

CHY
examples of gaseous products:
3.00E-05

440 C

Molar fraction

2.50E-05
2.00E-05
1.50E-05

methane
propane
hexane

1.00E-05

ethylene

5.00E-06
0.00E+00
0

5

10

15

Time / min

20

25
condensed phase products:
0.0035

440 C

0.003

Molar fraction

0.0025

R-CH=CH2

0.002
vinyl

0.0015

vinylene
vinylidene

0.001

RRC=CH2

0.0005

0
-5

0

-0.0005

R-CH=CH-R

5

10

Time / min

15

20

25
initial stages of
pyrolysis of
polyethylene
Reactive
Molecular
Dynamics
study

experimental
study using
GC and NMR

kinetic modeling
initiation of the process:

R-R → 2RP
k1
propagation reactions:
kβP

RP → C2H4 + RP
kHT

RP + -CH2- → -CH3 + RS

kβS

RS → Q + RP
long-chain olefins
containing vinyl
group
radical addition to double bonds
(propagation reactions):
kAPT

R P + Q → RS
kAPN

R P + Q → RP *
kAST

RS + Q → RS*
kASN

RS + Q → RP**
termination reactions:
kRPP

RP + RP → R-R

kRPS

RP + RS → CHY

kRSS

RS + RS → CHH
reduced mechanism:
initiation

k1

R-R → 2RP
kβP

RP → C2H4 + RP
kHT

propagation

RP + -CH2- → -CH3 + RS
kβS

RS → Q + R P
kAST

RS + Q → RS* (+CHY)
termination

kRSS

RS + RS → CHH
assumptions used:

(i) gas phase k1 (supported by RMD)
(ii) gas phase kβP, kβS
(iii) steady-state approximation for
[RP] and [RS]:
kinetic equation for [C2H4]:
440oC
1.8E-05
1.6E-05
C2H4 molar fraction

1.4E-05
1.2E-05
1.0E-05
8.0E-06

steady-state
[RP] determined

6.0E-06
4.0E-06
2.0E-06

0.0E+00
0

5

10

15

Time / min

20

25
kinetic equation for [-CH3]:
440oC
2.0E-02
1.8E-02

-CH3 molar fraction

1.6E-02
1.4E-02
1.2E-02
1.0E-02
8.0E-03

kHT and steadystate [RS]
determined

6.0E-03
4.0E-03
2.0E-03

0.0E+00
-5
0

5

10
Time / min

15

20

25
kinetic equation for [RS]:

kinetic equation for [RP]:

solution:

kRSS
determined
kinetics of [Q]:

solution:
kinetics of [Q]:

0.0020

440oC

molar fraction

0.0015

kAST determined

0.0010

0.0005

0

200

400

600

time / sec

800

1000

1200
possible pathway to produce vinylene
groups:
(i) radical addition to vinyl group

(ii) β-scission
possible pathway to produce vinylidene
groups:
(i) H abstraction from a tertiary C atom

(ii) β-scission
Rate constant of hydrogen abstraction:
1.34

1.36

1.38

1.4

-14.1
-14.3

Tsang, 1986

Log(kHT)

-14.5
-14.7
-14.9
-15.1
-15.3
-15.5

1000 K / T

1.42

1.44
Rate constant of radical recombination:
1.34
-10.5

Log(kHT)

-11

1.36

1.38

1.4

Tsang, 1986

-11.5
-12
-12.5
-13

1000 K / T

1.42

1.44
Rate constant of radical addition to double
bonds:
1.34
-14.7

1.36

1.38

1.4

-14.8
Tsang, 1991
Log(kHT)

-14.9
-15
-15.1
-15.2
-15.3

1000 K / T

1.42

1.44
Reactive Molecular Dynamics:
Kinetics of C-C bond scission was studied under the
conditions of liquid phase
Two-step kinetic mechanism enabled decoupling the
influence of the cage effect from the kinetics of C-C scission
in the liquid phase
The influence of the polymer chain length on the kinetics
of C-C scission was evaluated for fixed density and fixed
pressure
Important conclusion: usage of gas phase value of k1 is
justified for modeling liquid phase processes
experimental study and kinetic modeling:
The kinetics of both liquid phase and gas phase products
of initial stages of HDPE pyrolysis were studied
The kinetics of major products was successfully described
using proposed kinetic mechanism
The values of rate constants of critical reactions
(kHT, kAST, kRSS) were estimated under the conditions of the
liquid phase

Possible pathways for creation of vinylene (R-CH=CH-R)
and vinylidene (RR1C=CH2) were suggested

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