Mathematics and Computers North-Holland
in Simulation
SIMULATION
OF PYROLYSIS
S.M. FETERIS
and 0. SITNAI
CSIRO,
93
30 (1988) 93-98
Division of Mineral Engineering,
IN OIL SHALE PARTICLES
Clayton, Victoria, Australia
Models of heat and mass transfer in the pyrolysis of Julia Creek oil shale have been Results for single particles are compared with those for clusters of developed. as would be experienced particles and the effect of periodic temperature fluctuations, in mixing of solids in a retort, is discussed.
1.
INTRODUCTION Oil
shales
have
chemistry
complex
unique
of
mineral
processing.
shale
place
during
retorting
spent
shale
(0.1 - 6.0 mm)
leaving
hot
solids
part
of
the
In
the
retort
on the heating Various been
derived may
Wallman
the
design
and
for
organic
Multiple
and
combustion
retort
play
at
is burnt
recycled
to
the
important
role
and
inorganic
reactions
800
about
"C.
as
bed
a heat
the take
particulate
The
in the fluidized
retort
in
an
combustor
and
supplying
carrier
Szekely
in particulate
et
pyrolysis
of
the
solids
particle
that
t21.
of the
the
and
affecting have
Applications
pyrolysis
mechanism
been
for
oil
shale
compounds
effect
of
fast
reaction
the
slow
heating
depend rate.
A general
skeleton
from
by a non-isothermal
should
transfer
proposed.
The inorganic
oil
therefore
the heat
kinetics oil
of
rate
is beneficial
are
shales
t31.
particle
heating
review
Many
technique
for
the
oil
can
be used
selected
models
of coal.
of this Julia
the pyrolysis
particle
[l I.
al.
of coal
reaction
objectives
inside
on the parameters
for diffusion
the
retorting
place
and
work Creek
of oil
clusters
are
are
oil
shale. also
to devise shale. Some
described,
a generalised
model
In this
several
effects and
paper
which
of the periodic their
heating
importance
for
of single
the
reactor
discussed.
UNSTEADY-STATE A
is
[61 confirmed
al.
'C the
take
reactions
studies
studied
overall
described
particles
2.
by
as in the flash
simulate
reactions
a resistance
et
500
of the particle
early
[3-S]
The
are
ash
for
published
introduce
yield
to
models
about
which
solids.
the
rate
from
authors but
shale
to the raw shale
heat
has
at
compositions
single
convection
HEAT
particle
and radiation
037%4754/88/$3.50
TRANSFER model fluxes
of
MODEL the
FOR SOLID
unsteady
to the particle
0 1988, IMACS/Elsevier
PARTICLES
heat with
Science Publishers
transfer
is
based
the conduction
on
the
and heat
B.V. (North-Holland)
balance
accumulation
of
the in
94
S. M. Feteris, 0. Sitnai / Simulation
the
particle
into
M
as
shown
concentric
Based
schematically
shells
the energy
balance
equation
equation
shell
A
and
overall
heat
of
the
of
+
Tfc
the
sin(2
(21
- B,(T,-
n
(Tf - TM'
are
T,_,)),
- BM(TM B
and
II t/tc)
coefficient
(3)
- TM_,)),
=
n
(4)
7 3 (n -1)-/n&.
for
l
for
transient
heating
for periodic
appears
in
the
heating.
shell
Bi and
includes
contributions
of
fluxes. program
was
[81.
of
For
gas
was
tested
of
the
the
applied
for
to
the
numerical
the approximation
particle
shells
to
was
and
sizes
(M) implying surface
solution
errors
under
that
the
of particle
hot
an
in the
stream a model
physical
basis
particle
diffusivity.
for
range
similar
cluster Consistent
the
in
the
bed
carrier
to were
10
rate
with mm
of
diameter
the
the
the known
controlling
or that
time
(as
2 the
of
so that
and other
Biot
set
of
analytical
the
model
mechanism
Number
was
is the
(Bi) for
strongly
or clusters
previous
in the
of 0.1 for
model.
for
In the
voidaqe,
results
the shell
Heisler present
errors
engineering
pellets
adjusted
of
of heating
depends
are
the
model
been the
thereby
relative and
0.1 with
improves work
the
ratio
comparable
physical
size
shale
of the
devised
modifying
of cluster
Bi as the cluster
The
l.E-4
raw
mixing
has
generalised
with
calculations.
the cold
on the
for a range
to
In the
relative
in
Fo).
set
solution
the
rate
Number,
were
shells.
relevant
the
expressed
Fourier
solids
the
M=lO
integration
theoretical
reactor
for
of particle
accuracy value
Figure
number
- 0.15
properties
of heat
and
to
0.02
fluidized
in
temperature
increase
for heating
a constant
shown
approximation
with
scale
are
temperature
of the physical
In a large
maintaining
test
bounds
error
selected
Therefore
the
dimensionless
The Bi
the errors
the
f0
constant
number
from
respectively.
a
=T
Heisler
absolute
the
- T
AM(Bix
=
transfer
results
decreasing
by
symmetry:
is small.
variables
Bi/M
n
simulation
to
transfer
The
and
in the particle.
transfer:
the system
3 7 2 = n /(n- - (n - l)-)
The solution
insensitive
particle
is divided
(M):
and radiation
ACSL
equations.
heat
spherical
describing
An(Tn+,
= (3a/x2)
0 = TfO
Tf
the convective
solution
gradient
particle
dT/dr)dr)
=T
n
Tf
and
The
heat
the
conditions: T
The
temperature
state
with
(l/r2 d(r2
= (3a/x2)
shell
dTM/dt
initial
convenience
(1)
equations
dTn/dt
For
For
(n):
and for the outermost
where:
the radial
for unsteady
for solids
= k
the difference/differential the inner
1.
= k A dT/dr
dsC dT/dt
for
Figure
to approximate
on the Fourier dQ/dt
and
in
of pyrolysis in oil shale particles
sizes
two
particles streams.
(Figure
1) on
properties the was
increases.
of
thermal achieved
by
SM.
Figure 1.
Feteris, 0. Sitnai / Simulation
Model Scheme
0. Figure 2.
Figure
3
shows
FOURIER
Model Verification
the
strong
2. 3. 4. 5. 8. 7. 8. 9. 10.
1.
effect
of
the particle
cluster
temperature of the cluster at a constant gas temperature of 500 OC. the cluster consisted of a single particle with diameter of 2 mm. exhibit
temperature
95
of pyrolysis in oil shale particles
gradients
only
for
particle
sizes
of
NUMBER
size
on
a.t/x*
-
the
average
In the figure, at R/r=1 Whereas single particles
several millimeters,
particle
clusters of several centimeters, which can be present even in a "well mixed" fluidised bed reactor, are large enough to create pronounced temperature gradients in the solids.
In this
case the controlling mechanism for the heat transfer is the heat conduction in the cluster. During the mixing of the cold and hot streams of solids in the retort, particles can a
encounter
fluctuating
temperature
environment.
The
significance
of
this
effect
was
evaluated for periodic fluctuation of the gas temperature, with amplitude 300 OC about a mean of 500 oc.
One of the cases (Figure 4) shows that the periodic heating affects the surface
layers of particles but not the average particle temperature, because of the reversibility of the heating process.
3.
PYROLYSIS MODEL OF THE OIL SHALE RETORTING. The model devised by Campbell et al. [71 has been modified for Julia Creek oil shale.
The
proposed
model
for
the reaction mechanism
is schematically
shown in Figure
5.
It
consists of four chemical reactions of the first order relative to the mass of the key reactant, and a diffusion process
for the liquid oil.
Diffusion resistance for the oil
vapours is assumed to be negligible. The
first
decomposition
reaction
of
the
primary
organic
matter
of
the
oil
shale
(Kerogen/Bitumen) is a high activation energy reaction similar to pyrolysis of any other fossil
fuel
organic
matter.
The
cracking
reactions of
the
primary
oil are well known
96
SM.
Figure 3.
Feteris, 0. Sitnai / Simulation
of pyrolysis in oil shale particles
Heating Pates of Clusters
Figure 4.
because of their importance in the oil refining industry. oil
is
assumed
to be
proportional
to the heating
Periodic Heating of Particle
The diffusion rate for the liquid
rate of
the particle.
reactions in the gas phase are controlled by the "quench time", in
the gas
phase
before the
The cracking residence
time
temperature of the volatile products leaving the retort is
quickly reduced to avoid any further loss of the oil for the particle heating consists of the convection and heat conduction within the particle.
product.
The heat transfer mechanism
and radiation transfer to the particle
The heating rate is then calculated, depending on a
specific case of the particulate solids/gas system. heating model is employed as described above. coefficient
i.e. the
For the large clusters the unsteady
In parametric studies the overall heating rate
(Kh) was varied in the range 0.05 to 0.20 (l/s) which corresponds to heating
rates achieved in large scale moving bed and fluidized bed reactors. The mass balance equations for the oil production are: dmKB/dt = -k,
(5)
mKB
dmOILL/dt = (1-y) C, (-dmKB/dt)
(6)
- (k2+k3) mOILL
dmOILE/dt = k2 mOILL (1 - k4 tq )
(7)
dmOILG/dt = y C, (-dmKB/dt) (1 - k4 tq) where:
the residence
time of
gases
in the
reactor is denoted
(8) by tq - the quench time,
KB stands for the Kerogen/Bitumen component, OILL for liquid oil in the shale particle, and oil outside the particle is either in liquid state (OILE) or in gas phase state (OILG). 4.
PYROLYSIS SIMULATION. Some effects of residence time and heating rate for solids and quenching time for the
product vapours are shown in Figures 6 and 7.
The simulation results in these figures show
S. M. Feteris, 0. Sitnai / Simulation
,
PARTICLE
’
the
strong
higher the a
effect
effect
large should
of
of
on the
of
streams
the
design
rate
time
the
at
oil
higher
product
,
( I ,
be
must
,
an
in
yield
uneven
temperature
oil
generation
but
later
OF THE
SIMULATION
STUDIES.
increase
rate
oil
at
tq>O.,
yield
This
is
has
a
in the reactor
further
cracking.
where
mixing
temperatures.
but
increase the
when
The
reactor
of
period
is critical
reactor.
to avoid
(see Figure
initial
rate
of solids
in a
distribution
initially on
the
the bed
the bed
fluctuations in the
in
to prevail
at t = 0. q
7, Kh=O.lO),
temperatures.
vapours
bypass
expected
Generation
(Figure
Either
reactor.
temperature
to the
,
The heating
rates
at the higher
the
products can
result
can of
periods of
of
of a pyrolysis
of particles
effect
heating
Oil
6.
on the oil yield.
medium
is pronounced
residence
detrimental The
pyrolysis.
At
cracking
solids
the
is not
temperature
final
the
heating
surprisingly,
Figure
or the pyrolysis
be shallow,
model,
,
TIMEt SEC?,. 1
Scheme
retorting.
of secondary
Periodic
hence
of the
function
bearing
large
Reaction
5.
temperatures
strong
, I ,
GAS PHASE
Figure
91
of pyrolysis in oil shale particles
of
Perhaps
8), as indicated
by
only
end of
the of
towards
rate
the
of
the
heating
irreversible
and
cracking
reactions. 5.
APPLICATION The
system with that
simulation
behaviour the the
aim
Further, preferably achieved.
of a
have
shown
consistently
results
provision
runs
of Campbell
for
a
intensive
short under
high
with
oil
residence
[71.
yield mixing,
time and
the proposed
experimental
et al.
solids
5 seconds,
that
of
For
requires
reaction
experience. the design that
the
oil
when
product
quenching
The model
of
in
scheme
heat the
reactor
consideration carrier gas
the product
describes
predictions
of a pyrolysis
careful
particularly
effective
mechanism
be
solids
phase vapours
must and
the
agree it was
given are be
well shown
to
the
involved. specified,
gases
must
be
S.M. Feteris, 0. Sitnai / Simulation
TIME
Figure
7.
Oil
of pyrolysis in oil shale particles
( SECS. 1
Generation
TlME
Figure
kh = 0.10
8.
Oil
l SEW.
Generation,
)
Periodic
Heating
NOTATION a A Bi C ",I d FS h k ki
thermal diffusivity = k/cd, area Biot Number = h l/k heat capacity stoichiometric coefficient particle diameter particle density Fourier Number = a t/x2 heat transfer coefficient heat conductivity chemical rate constant for i-th reaction
C)
m2/s m2 kJ/kg
K
m
1 m. Q' r R t
kg/m3
t tq
kJ/m2 s K kJ/m s K
TC
l/s
Zf Y
thickness mass of j-th component heat radial distance particle radius time quench time cycle time temperature temperature of gas = R/M shell thickness vapour fraction of oil
m kg kJ m m S S S K
K m
REFERENCES [II t21 t31 141 [51
[61
[71
[81
Szekely, J., Evans, J.W and Sohn, H.Y., Gas-Solid Reactions. Academic Press (1976) of Thermal Decomposition of Pulverised Coal Badzioch, S. and Hawksley, G-W., Kinetics Vo1.9, No.4, (1970) 521-530. Proc.Des. Ind.Eng.Chem. & Develop., Particles. The Effects of Particle Size on Oil Shale Pyrolysis Kinetics, AICHE J.M., Forgac, Spring Nat.Meet. in Anaheim. CA. (1984) W.E., Report Invest., US Bur.Mines, No.4744. (1950) Hubbard, A.B. and Robinson, and Modelling Investigation Of Gregg, M.L., Cambell, J.H. and Taylor, J.R., Laboratory a Colarado Oil-Shale Block Heated to 900 'C, Fuel, Vo1.60, (1981) 179-188. Oil Shale Retorting Kinetics, in: B.G., P.H., Tamm, P.W., and Spars, Wallman, Tar Sands and Related Materials. ACS Symposium Stanffer, H.C. (ea.), Oil Shale, (1981) 93. Series 163. Oil Shale Retorting: Campbell, J.H., Koskinas, G.J., Stout, N.D. and Coburn, T.T., Size and Heating Rate on Oil Evolution and Intraparticle Oil Effects of Particle In Situ, Vo1.2, No. 1, (1978) 1-47. Degradation. Temperature Charts for Induction and Constant-Temperature Heating, Heisler, M.P., Trans.ASME, Vo1.69, (1947) 227-236.