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Hydrogen and carbon black production
from thermal decomposition of
sub-quality natural gas
M. Javadi1 and M. Moghiman
Department of mechanical engineering, Ferdowsi University of Mashhad, Iran
P. O. Box:91775-1111
mohammad.javadi@gmail.com, mmoghiman@yahoo.com
Received December 26, 2008; Accepted June 01, 2009
ABSTRACT
The objective of this paper is computational investigation of the hydrogen and carbon black
production through thermal decomposition of waste gases containing CH4 and H2S, without
requiring a H2S separation process. The chemical reaction model, which involves solid carbon,
sulfur compounds and precursor species for the formation of carbon black, is based on an
assumed Probability Density Function (PDF) parameterized by the mean and variance of mixture
fraction and β-PDF shape. The effects of feedstock mass flow rate and reactor temperature on
hydrogen, carbon black, S2, SO2, COS and CS2 formation are investigated. The results show that
the major factor influencing CH4 and H2S conversions is reactor temperature. For temperatures
higher than 1100° K, the reactor CH4 conversion reaches 100%, whilst H2S conversion increases
in temperatures higher than 1300° K. The results reveal that at any temperature, H2S conversion
is less than that of CH4. The results also show that in the production of carbon black from sub-
quality natural gas, the formation of carbon monoxide, which is occurring in parallel, play a very
significant role. For lower values of feedstock flow rate, CH4 mostly burns to CO and
consequently, the production of carbon black is low. The results show that the yield of hydrogen
increases with increasing feedstock mass flow rate until the yield reaches a maximum value, and
then drops with further increase in the feedstock mass flow rate.
Key words: Hydrogen, carbon black, sulfur compounds, thermal decomposition, sour natural gas
1. INTRODUCTION
As the prices of fossil fuel increase, abundant sour natural gas, so called sub-quality
natural gas (SQNG) resources become important alternatives to replace increasingly
exhausted reserves of high quality natural gases for the production of carbon black,
hydrogen, sulfur and/or CS2 [1–3].At oil flow stations it is common practice to flare or vent
International journal of spray and combustion dynamics · Volume .2 · Number . 1 .2010 – pages 85–102 85
1Corresponding author. Fax: 0098-511-8763304
E-mail address: Mohammad.Javadi@gmail.com
SQNG, which is produced along with crude oil. This accounts for more than 100 million
cubic meters (m3) world-wide per day, and approximately equals to France’s annual gas
consumption [4]. Clearly this is of considerable concern in terms of global resource
utilization and climate change implications. Gas flaring has also been blamed for
environmental and human health problems such as acid rain, asthma, skin and breathing
diseases [5]. The removal of H2S from SQNG is expensive and not commercially viable
for large-scale plants. When H2S concentration in natural gas is higher than about 1.0%,
the high separation cost makes the SQNG uneconomical to use [1]. As mentioned above,
production of carbon black from SQNG is one viable option utilizing this untapped
energy resource while at the same time reducing carbon oxides and hydrogen sulfide
emissions. In a carbon black furnace, thermal decomposition of CH4 +H2S produces
hydrogen, carbon and other sulfur compounds [6]. Hydrogen is a promising candidate as
a clean energy carrier. It is increasingly recognized as an efficient and sustainable fuel of
the future as it is a preferred fuel for fuel cells in homes and cars [7]. Eventual realization
of a hydrogen economy requires cost effective and readily available hydrogen containing
feedstocks and viable technologies for extracting high purity H2 [8]. Methane as the main
component of sub quality natural gas can be converted to hydrogen and carbon in a
carbon black gas furnace [8, 9].
Carbon black is an industrial form of soot produced by subjecting hydrocarbon
feedstock to extremely high temperatures in a carefully controlled combustion process [9].
Carbon black is widely used as filler in elastomers, tires, plastics and paints to modify the
mechanical, electrical and optical properties of materials in which it is used [10, 11].
The purpose of this paper is to assess production of hydrogen and carbon black from
sub-quality natural gas (SQNG) using a 3D numerical technique that employs a detailed
turbulent flame structure leading to production of hydrogen, carbon black and sulfur
compounds. Formation of carbon black is associated with both specific pyrolysis
species and soot formation during incomplete combustion of natural gas. The effect of
relevant process parameters such as feed gas mass flow rate and reactor temperature on
hydrogen, carbon black, S2, SO2, COS and CS2 formation have been described.
2. GAS FURNACE CARBON BLACK AND THERMAL DECOMPOSITION OF SQNG
The carbon black furnace used in this investigation is a small-scale axial flow reactor
identical to that reported previously by Gruenberger [4]. The furnace has been designed
on the basis of using gaseous fuels as feedstock hydrocarbon, with a maximum output
of 10 kg carbon black per hour. The basic geometry of the carbon black furnace is
shown in Fig. 1, consisting of a precombustor, a mixing zone and a reactor. In the
precombustor, the axially injected natural gas burns with inlet air introduced through
two tangential inlets. Then, the highly swirling hot combustion gases mix with the sub-
quality natural gas injected radially into the precombustor in the proximity of the
mixing zone. A sudden increase in the tube diameter at the exit of the choke promotes
vigorous mixing of the SQNG fuel with the hot gases leading to thermal decomposition
of CH4 + H2S and formation of hydrogen, carbon black, sulfur compounds and other
precursor species for the formation of carbon black [11].
86 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
3. CHEMICAL REACTION MODELING
Production of carbon black through thermolysis of SQNG involves a complex series of
chemical reactions which control conversion of both CH4 and H2S as follows [3, 12]:
Reaction (1)
Reaction (2)
Since reaction 1 is mildly endothermic, it requires temperatures higher than 850°K
to proceed at reasonable rates [13], and, as reaction 2 is highly endothermic,
temperatures in excess of 1500°K are required for achieving reasonable rates [6]. A
portion of CH4 and H2S can oxidize to produce CO, CO2 and SO2. H2S can also react
with CO2 producing COS [14]:
Reaction (3)
Under special circumstances including using catalyst H2S can react with methane
producing carbon disulfide (CS2) and H2 [3].
Reaction (4)
4. TURBULENCE–CHEMISTRY INTERACTION
The mixture fraction/PDF method is used to model the turbulent chemical reactions
occurring in the diffusion, combustion and thermal decomposition of natural gas in the
2 4 232
2 4 2 2 298
H S CH CS H H kJ mol
K
+ ⇔ + = /
∆ o
H S CO COS H O
2 2 2
+ ⇔ +
H S S H H kJ mol
2 2 2 298
1
2
79 9
→ + = −
∆ o
. /
CH C S H H kJ mol
4 2 298
2 74 9
→ + = −
( ) . /
∆ o
International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 87
Tangential
air inlets
Axial
fuel inlet
80
150 430 100 120 1000
Reactor
Thermal insulation
Refractory
Mixing
zone
Swirl
burner
Precombustor
Feedstock
∅26 ∅20
∅90
∅260
∅100
∅200
Figure 1: Carbon black gas furnace.
carbon black furnace. This method, which assumes the chemistry is fast enough for a
chemical equilibrium to always exist at molecular level, enables handling of large
numbers of reacting species, including intermediate species. Transport equations are
solved for the mean mixture fraction f
–
, its variance f′2
—
and for enthalpy h
–
. Calculations
and PDF integrations are performed using a preprocessing code, assuming chemical
equilibrium between 30 different species. The results of the chemical equilibrium
calculations are stored in look-up tables which relate the mean thermochemical variables
(species mass fractions, temperature and density) to the values of f
–
, f′2
—
and h
–
[15].
In non-adiabatic systems, where change in enthalpy due to heat transfer affects the
mixture state, the instantaneous thermo chemical state of the mixture, resulting from the
chemical equilibrium model, is related to a strictly conserved scalar quantity known as
the mixture fraction, f, and the instantaneous enthalpy, H*, φi = φi (f, H*). The effects of
turbulence on the thermo chemical state are accounted for with the help of a probability
density function (PDF):
(1)
In this work, the β-probability density function is used to relate the time-averaged
values of individual species mass fraction, temperature and fluid density of the mixture
to instantaneous mixture fraction fluctuations. The β-PDF in terms of the mean mixture
fraction f
–
and its variance f′2
—
, can be written as:
(2)
where:
(3)
Using the unweighted averaging [16], the values of the two parameters f
–
and f′2
—
at
each point in the flow domain are computed through the solution of the following
conservation equations [17]:
(4)
(5)
∂
∂
′ =
∂
∂
∂ ′
∂





 +
∂
∂
x
u f
x
f
x
C
f
x
i
i
t
t i
g t
i
( )
ρ
µ
σ
µ
2
2






 − ′
2
2
C
k
f
dρ
ε
,
∂
∂
=
∂
∂
∂
∂






x
u f
x
f
x
i
i
t
t i
( ) ,
ρ
µ
σ
α β
=
−
′
−





 = −
−
′
−



f
f f
f
f
f f
f
( )
, ( )
( )
1
1 1
1
1
2 2



.
P f
f f
f f df
f
( )
( )
( )
,
=
−
−
< <
− −
− −
∫
α β
α β
1 1
1 1
0
1
1
1
0 1
φ φ
i i f H p f df
= ∫ ( , ) ( ) .
*
0
1
88 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
where the constants σt, Cg (= 2/σt) and Cd take the values 0.7, 2.86 and 2.0, respectively.
The distribution of the instantaneous enthalpy is calculated from a transport equation as
follows:
(6)
where kt is turbulent thermal conductivity and Sh includes the heat generated by the
chemical reaction and radiation. The instantaneous enthalpy is defined as:
(7)
where mj is the mass fraction of species j and h°
j (Tref,j) is the formation enthalpy of
species j at the reference temperature Tref,j.
5. SOOT FORMATION MODEL
Here, soot formation is modeled by that proposed by Brooks and Moss [18]. The model
describes the soot formation in terms of soot particle number density (N) and the mass
density (M) and taking into account the inception (nucleation), coagulation, growth and
oxidation on the rates as follows:
(8)
And
(9)
The acetylene inception model is used for the calculation of soot inception rate
according to Brookes & Moss [18]. The inception rates are computed by:
(10)
and
(11)
dM
dt
M
N
dN
dt
Inception
P
A Inception





 =






dN
dt
c N
m
W
e
Inception
A
C H
C H





 =






−
1
2 2
2 2
ρ 2
21100/T
DM
Dt
dM
dt
dM
dt
d
Inception Growth
=





 +





 +
M
M
dt Oxidation






DN
Dt
dN
dt
dN
dt
Inception Coagulat
=





 +






i
ion
H m H m c dT h T
j j j p j j ref j
T
T
j ref j
*
, ,
( )
,
= = +






∫
o
∑
∑
∑
j
∂
∂
=
∂
∂
∂
∂





 +
∂
∂
+
x
u H
x
k
c
H
x
u
x
S
i
i
t
p i
ik
i
k
( )
*
*
ρ τ h
h
International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 89
where Mp, the mass of a soot nucleus, has a value of 144 kg kmol–1 based on the
assumption that the soot size corresponds to 12 carbon atoms and c1 = 54 s–1 determined
by Brookes and Moss [18].
Assuming that particles are monodispersed in size and are spherical, the coagulation
rate and reaction surface are given by:
(12)
and
(13)
Where R is the universal gas constant, ρsoot =2000kg.m–3 and c2 =9000.6kg.m.
kmol–1.s–1 according to Wen et al. [19].
6. SOOT COMBUSTION MODEL
Soot oxidation is modeled by using O2–OH oxidation model [19]. This model takes into
account oxidation of soot by both O2 and OH radicals. The rate of soot oxidation is
given by [19, 20]:
(14)
where η = 0.13 and c4= 105.81 kg.m.kmol–1.K–1/2.s–1, which are obtained by converting
the rate of soot consumption.
7. NUMERICAL SOLUTION PROCEDURE
Fluent CFD software has been used to model the furnace employing solution-adaptive
grid refinement technique to solve the 3D problem. Gambit preprocessor is used for
the fully three dimensional geometry creation and unstructured grid generation. The
3D volume grid is represented in Fig 2. The domain is discretized into a grid of 20493
nodes and 82745 tetrahedral cells. The conservation equations for mass, momentum,
energy, Reynold’s stresses, dissipation rate, mixture fraction and its variance, and
concentration of soot are solved by finite-volume analysis, using a second-order upwind
scheme for discretisation of the convective terms in the transport equations.
dM
dt
c
m
W
T N
M
Oxidation
OH
OH S





 = − 4
1 3 6
ρη π
ρ
( ) /
o
oot
O
O
c
m
W T
T






−
−






2
3
3
2
2
19778
exp (
ρ πN
N
M
Soot
) /
/
1 3
2 3
6
ρ






dM
dt
c
m
W
e
growth
C H
C H





 =






−
2
21100
2 2
2 2
ρ /
/ /
/
T
Soot
N
M
× ( )












π
ρ
1 3
2 3
6
dN
dt
R
N
coagulation Soot A





 = −






24 6
1 2
ρ
/
π
πρSoot
T M N






1 6
1 2 1 6 11 6
/
/ / /
90 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
The acetylene inception soot model is implemented via user-defined functions within
the finite-volume CFD code FLUENT. The radiative heat transfer in the absorbing,
emitting and scattering medium is calculated by the Discrete Ordinates (DO) radiation
model [21]. The RSM model is used for prediction of anisotropic, highly swirling and
recirculating flow inside the combustor. Abandoning the isotropic eddy-viscosity
hypothesis, the RSM closes the Reynolds-averaged Navier-Stokes equations by solving
six differential transport equations for Reynolds stresses, together with an equation for
the dissipation rate of turbulence kinetic energy. The conventional wall-function
approach is used in the near-wall region. At the inlet boundary, conditions are specified
once and did not need updating during the course of the solution procedure. At the
outlet boundary, zero gradient conditions are applied. We assumed an isothermal
boundary condition at the wall of the furnace.
A grid dependence study was conducted to arrive at the appropriate size of the grid for
optimal accuracy and efficiency. The number of grid points was varied from 17231 to
36387 for typical set operating conditions. We observed that the field quantities varied less
than 1% after the number of grid points increased beyond 20493. For the radiation model,
emissivity coefficient at the flow inlets and outlets were taken to be 1.0 (black body
absorption). Wall emissivity was set at 0.6, a typical value for combustion gases.
8. RESULTS
Numerical calculations were performed on the axial flow gas furnace described by
Gruenberger [4] as shown in Fig. 1. The total precombustor inlet airflow rate is
19 × 10–3 m3/s, at a temperature of 690°K and pressure of 1 bar. The equivalence ratio
used for the precombustor is 0.92. The accuracy of the quantitative or even the
qualitative trends for the combustion and decomposition parameters depend on the
accuracy with which the temperature and species concentration fields are determined
from the numerical calculation of the present model. To establish the accuracy of our
model, we calculated and compared the model predictions to the experimental
measurements of Gruenberger [4] with no H2S. For comparison purposes, we first
conducted computations without H2S in feed gas.
A comparison of reactor outlet average temperature and carbon black yield (kg carbon
black/kg feedstock) predicted by this model and that from experimental results is
given in Figs. 3 and 4. Resulting of Fig. 3 depict that model predicts lower temperatures
than the experimental data especially at high feed flow rates. The discrepancy
International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 91
Figure 2: Three-dimensional tetrahedral grid.
between the two results might be due to the fundamental assumption made in the
combustion model used (PDF fast chemistry combustion model) which assumes that
chemistry is fast enough for a chemical equilibrium. Figure 4 show that the predicted
and measured carbon black yields are in very good agreement and maximum carbon
92 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
Exp. (4)
2100
1900
1700
Temprature
(K)
1500
1300
1100
0 1 2
Feedstock mass flow rate (1000* kg/s)
3 4
Pre. (this study)
Figure 3: Comparison of the predicted reactor outlet temperature with the
experimental data.
Exp. (4)
40
30
20
10
Carbon
black
yield
(%)
0
0.0 1.0 2.0 3.0
Equivalence ratio
4.0 5.0 6.0
Pre. (this study)
Figure 4: Comparison of the predicted carbon black yield with the experimental data.
black yield is reached at the equivalence ratio of 3. The discrepancy between the two
results can be attributed to the temperature levels obtained by the two methods (see Fig.
3). The lower temperature levels computed by the model might be due to higher
decomposition of CH4. Figure 5 presents the calculated distributions for CH4, H2S,
temperature and mass fraction of soot, carbon black, COS and gaseous sulfur predicted
by the model at feed rate of 3 × 10–3 kg/s. H2S mass fraction in natural gas assumed to
be 10%. Of particular interest are Figs. 5d-f that show soot formation due to incomplete
combustion of inlet methane and production of solid carbon and gaseous sulfur by
thermolysis of methane- hydrogen sulfide jet interaction with hot surroundings. Results
from the model calculations seem to indicate that the use of more inlet injection ports
for SQNG feed would increase the yield of carbon black and sulfur compounds.
Figure 6 shows the reactor outlet temperature as a function of inlet mass flow rate
for two cases a) with H2S, b) without H2S. It can be seen that the results obtained for
these two cases are similar. The small discrepancy between the results may be due to
CH4 decomposition reaction that begins at lower temperatures that of H2S. Also, Fig. 6
depicts that temperatures drop precipitously with increasing flow rate of feed gas due to
the endothermic nature of both CH4 and H2S decomposition reactions.
Figures 7 and 8 show the effect of feed gas flow rate and reactor outlet temperature
on CH4 and H2S conversions given by [3]:
where [CH4]0 and [H2S]0 denote the initial (input) concentration of CH4 and H2S,
respectively. [CH4] and [H2S] are equilibrium concentration of CH4 and H2S at reactor
outlet, respectively. Figure 7 depicts that the H2S conversion drop sharply with increased
feed gas flow rate; this can be attributed to the endothermic nature of H2S and CH4
decomposition reactions. For higher values of feed gas flow rate (≥ 0.002kg/s) CH4
conversion decreases with increased feed gas flow rate due to the endothermicity of
CH4 thermolysis. The major factor influencing CH4 and H2S conversions appears to be
temperature. Figure 8 shows that CH4 conversion reaches 100% at temperatures above
1100°K. Because CH4 decomposition reaction is mildly endothermic, the temperature must
be above 850°K for the reaction to proceed at a reasonable rate. This is in accord with
the results of Huang and T-Raissi [3]. At any temperature, H2S conversion is less than
that of CH4, especially at those below 1300°K wherein H2S conversion is less than 5%.
For higher values of reactor temperature (≥1300°K), H2S conversion increases sharply
with reaction temperature. As H2S decomposition reaction is endothermic, the
temperature must be above 1500°K for the reaction to proceed at rapid rates.
Figure 9 shows the effect of feedstock flow rate on CH4, carbon black, soot and CO
mass fractions at the furnace outlet. It can be seen that for lower values of feed gas flow
rates, the very high temperature precombustor effluent (see Fig. 6) causes the feedstock
methane to convert to CO rather than carbon. For higher values of feedstock flow rate,
the formation of carbon black increases, and due to the resulting lower temperatures, the
mass fraction of CO and soot decreases. This is so because the soot model strongly
CH conversion
CH CH
CH
H S co
4
4 4
4
2
0
0
100
=
−
×
[ ] [ ]
[ ]
, n
nversion
H S H S
H S
=
−
×
[ ] [ ]
[ ]
2 2
2
0
0
100
International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 93
94 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
0.00e+00
8.63e−04
1.73e−03
2.59e−03
3.45e−03
4.32e−03
5.18e−03
6.04e−03
6.91e−03
7.77e−03
8.63e−03
2.39e+03
2.28e+03
2.18e+03
2.08e+03
1.97e+03
1.87e+03
1.76e+03
1.66e+03
1.55e+03
1.45e+03
1.34e+03
1.24e+03
1.13e+03
1.03e+03
9.25e+02
8.21e+02
7.16e+02
6.12e+02
5.07e+02
4.03e+02
2.98e+02
1.21e−01
1.15e−01
1.09e−01
1.03e−01
9.67e−02
9.07e−02
8.47e−02
7.86e−02
7.26e−02
6.65e−02
6.05e−02
5.44e−02
4.84e−02
4.23e−02
3.63e−02
3.02e−02
2.42e−02
1.81e−02
1.21e−02
6.05e−03
0.00e+00
1.00e+00
9.50e−01
9.00e−01
8.50e−01
8.00e−01
7.50e−01
7.00e−01
6.50e−01
6.00e−01
5.50e−01
5.00e−01
4.50e−01
4.00e−01
3.50e−01
3.00e−01
2.50e−01
2.00e−01
1.50e−01
1.00e−01
5.00e−02
0.00e+00
(a) CH4
(b) H2S
(c) Temprature (k)
(d) Soot
Figure 5 (Continued)
depends on the reaction temperature. Figure 10 shows the effect of feedstock flow rate
on H2 and carbon black yields at the furnace outlet. It can be seen that the yield of H2
increases with increased feed gas flow rate until it reaches a maximum value, and then
drop with further increase in the flow rate. For higher values of feedstock flow rate, the
yield of carbon black increases, and, due to reduction in CH4 conversion (see Fig. 7), the
yield of hydrogen decreases.
Figure 11 depicts the yield of sulfur (due to H2S decomposition) and SO2 (due to H2S
combustion) as a function of feedstock flow rate at the outlet of the furnace. S2 and SO2
yields are defined as [3]:
S
S
H S
SO
SO
H S
2
2
2 0
2
2
2 0
2
100 1
(%)
[ ]
[ ]
* , (%)
[ ]
[ ]
*
= = 0
00.
International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 95
(e) Carbon black
(f) COS
(g) S2
1.38e−01
1.31e−01
1.24e−01
1.17e−01
1.10e−01
1.03e−01
9.65e−02
8.96e−02
8.27e−02
7.58e−02
6.89e−02
6.20e−02
5.51e−02
4.82e−02
4.14e−02
3.45e−02
2.76e−02
2.07e−02
1.38e−02
6.89e−03
0.00e+00
2.98e−04
2.83e−04
2.68e−04
2.53e−04
2.38e−04
2.23e−04
2.09e−04
1.94e−04
1.79e−04
1.64e−04
1.49e−04
1.34e−04
1.19e−04
1.04e−04
8.94e−05
7.45e−05
5.96e−05
4.47e−05
2.98e−05
1.49e−05
0.00e+00
6.56e−04
6.23e−04
5.90e−04
5.58e−04
5.25e−04
4.92e−04
4.59e−04
4.26e−04
3.94e−04
3.61e−04
3.28e−04
2.95e−04
2.62e−04
2.30e−04
1.97e−04
1.64e−04
1.31e−04
9.84e−05
6.56e−05
3.28e−05
0.00e+00
Figure 5: Contour of species mass fractions and temperature (K).
96 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
2100
1900
1700
1500
Temperature
(K)
1300
1100
0 1 2 3 4 5 6
Feedstock mass flow rate (1000*kg/s)
Without H2S
With 10% H2S (maas)
Figure 6: Effect of feedstock flow rate on calculated outlet temperature.
CH4
100
80
60
40
20
0
0 1 2 3 4 5 6
70
75
80
85
90
95
100
H2S
Feedstock mass flow rate (1000* kg/s)
CH
4
conversion
(%)
H
2
S
conversion
(%)
Figure 7: Effect of feedstock mass flow rate on H2S and CH4 conversions.
International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 97
CH4
100
80
60
40
20
0
800 1000 1200 1400 1600 1800 2000 2200
70
75
80
85
90
95
100
H2S
Temprature (K)
CH
4
conversion
(%)
H
2
S
conversion
(%)
Figure 8: Effect of reactor outlet temperature on H2S and CH4 conversions.
6
4
2
0
8
10
12
14
16
18
0
0 1 2 3 4 5 6
6
5
4
3
2
1
Mass
fraction
of
CO
(%)
CH4
Soot
Feedstock mass flow rate (1000* kg/s)
Carbon black
Mass
fraction
of
soot,
CH
4
&
carbon
black
(%)
CO
Figure 9: Effect of feedstock flow rate on CH4, CO, carbon black, and soot mass
fractions.
where [S2] and [SO2] denote the equilibrium molar concentrations of S2 and SO2,
respectively [8]. The figure reveals that for low values of feedstock flow rate
(≤ 0.002kg/s) that result in high reaction temperatures (see Fig. 3) H2S converts mostly
to S2 and SO2. It can be seen that for higher values of feedstock flow rate, yield of S2
and SO2 are quite low. This is due to reduced conversion of H2S conversion (see Figure
98 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
0
0 1 2 3
Feedstock mass flow rate (1000* kg/s)
Yields
of
C(S),
H
2
(%)
4 5 6
20
40
60
80
100
H2
C(S)
Figure 10: Effect of feedstock mass flow rate on H2 and C(S) productions.
0 1
Feedstock mass flow rate (1000* kg/s)
2 3
0
S
2
and
SO
2
yields
(%)
10
20
30
40
50
60
70
S2
SO2
Figure 11: Effect of feedstock mass flow rate on S2 and SO2 .
7). Figures 12 and 13 depict the effects of feedstock mass flow rate and temperature on
the yield of COS and CS2, respectively, as defined by:
COS
COS
H S
CS
CS
CH
(%)
[ ]
[ ]
* , (%)
[ ]
[ ]
*
= =
2 0
2
2
4 0
100 1
100
International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 99
0.009
0.007
0.005
0.003
CS
2
yield
(%)
0.001
−0.001
3.5
3
2.5
COS
CS2
2
1.5
COS
yield
(%)
1
0.5
0
6
5
4
3
Feedstock mass flow rate (1000* kg/s)
2
1
0
Figure 12: Effect of feedstock mass flow rate on COS and CS2 yields.
0.009
0.007
0.005
0.003
CS
2
yield
(%)
0.001
−0.001
3.5
3
2.5
COS
CS2
2
1.5
COS
yield
(%)
1
0.5
0
2000
1700
1400
1100
Temperature (K)
800
Figure 13: Effect of reactor outlet temperature on COS and CS2 yields.
where [COS] and [CS2] denote the equilibrium molar concentration of COS and CS2,
respectively [3]. Figure 12 shows that COS and CS2 yields increase with increased
feedstock flow rate until they reach a peak, and then drop with further increase in feed
gas flow rate. Figure 13 shows that the increase in temperature results in increased COS
and CS2 yield up to their respective maxima and then decrease. The maxima of COS and
CS2 yields occur at different temperatures (1100°K and 1300°K respectively). Figures
12 and 13 reveal that yield of CS2 is always low (≤ 0.0007%). This is in accord with
results of Huang and T-Raissi [3] and Towler and Lynn [12].
9. CONCLUSIONS
The production of hydrogen and carbon black from sub-quality natural gas containing
methane (CH4) and hydrogen sulfide (H2S) has been analyzed. The process involved the
oxidative and thermal decomposition of CH4 with and without H2S present. Based on
the presented results, the following conclusions may be drawn:
• The major factor influencing CH4 and H2S conversions is the reactor temperature.
• At temperatures above 1100°K, CH4 conversion is complete.
• At any temperature, H2S conversion is less than that of CH4, especially at temper-
ature below 1300°K for which H2S conversion is less than 5%.
• The yield of hydrogen increases with increasing feed gas mass flow rate until it
peaks and then drops with further increase in the flow rate.
• For temperatures higher than 1300°K, H2S conversion increases sharply with
temperature. The major reaction products are S2 and SO2 with carbonyl sulfide
(COS) and carbon disulfide (CS2) being present as minor products.
• For lower values of feedstock flow rate, CH4 is converted to mostly CO and
consequently, the yield of carbon black is low. For higher values of feed gas mass
flow rates yield of carbon black increases to a maximum value before dropping at
much higher feed gas flow rates.
REFERENCES
[1] C. Huang, A. T-Raissi, J. Power Sources, 163, 645–652 (2007).
[2] H.K. Abdel, M.A. Shalabi, D.K. AL-Harbi and T. Hakeem, Int. J. Hydrogen
Energy, 23, 457–462 (1998).
[3] C. Huang and A. T-Raissi, J. Power Sources, 175, 464–472 (2008).
[4] T.M. Gruenberger, M. Moghiman, P.J. Bowen and N. Syred, Combust. J. Sci. and
Tech., 174, 67–86, (2002).
[5] T.W. Lambert, V.M. Goodwin, D. Stefani and L. Strosher, Int. J. Science of the
Total Environment, 367, 1–22 (2006).
[6] C. Huang and A. T-Raissi, J. Power Sources, 163, 637–644 (2007).
[7] H. Ryu, Y. Lee, H. Lee, Y. Han, J. Lee and J. Yoon, J. Catalysis Today, 123,
303–309 (2007).
[8] J.S. Jang, H.G. Kim, P. H. Borse and J. S. Lee, Int. J of Hydrogen Energy,
32, 4786–4791 (2007).
100 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
[9] U. Ghosh, J. Human and Ecological Risk assessment, 13, 276–285 (2007).
[10] W. Cho, S.H. Lee, W.S. Ju, Y. Baek and J.K. Lee, J. Catalysis Today,
98, 633–638 (2004).
[11] F.C. Lockwood, J.E. Niekerk and J.E. Van, J. Combustion and Flame, 103, 76–90
(1995).
[12] P. Towler and S. Lynn, J. Chemical engineering communications, 155, 113–143
(1996).
[13] A.M. Dunker, S. Kumar and P. A. Mulawa, J. Hydrogen Energy, 31, 473–484
(2006).
[14] K. Sakanishi, Z. Wu, A. Matsumura and I. Saito, J. Catalysis Today, 104, 94–100
(2005).
[15] A. Saario and A. Rebola, J. Fuel, 84, 359–369 (2005).
[16] W.P. Jones and J.H. Whitelaw,, J. Combustion and Flame, 48, 1–26 (1982).
[17] J. Warnatz, U. Maas, and R.W Dibble., “Combustion”, Springer-Verlag, Berlin
(2006).
[18] S.J. Brooks and J. B. Moss, J. Combustion and Flame, 116 (1999) 486–503.
[19] Z. Wen, S. Yun, M.J. Thomson, and M.F. Lightstone, J. Combustion and Flame,
135, 323–340 (2003).
[20] K. Bashirnezhad, M. Moghiman, I. Zahmatkesh, Iran. J. Chem. Chem. Eng.,
26, 45–54 (2007).
[21] J.Y. Murthy and S.R. Mathur, AIAA-98-0860, January 1998.
International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 101

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Carbon black from thermal Decomposition.pdf

  • 1. Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas M. Javadi1 and M. Moghiman Department of mechanical engineering, Ferdowsi University of Mashhad, Iran P. O. Box:91775-1111 mohammad.javadi@gmail.com, mmoghiman@yahoo.com Received December 26, 2008; Accepted June 01, 2009 ABSTRACT The objective of this paper is computational investigation of the hydrogen and carbon black production through thermal decomposition of waste gases containing CH4 and H2S, without requiring a H2S separation process. The chemical reaction model, which involves solid carbon, sulfur compounds and precursor species for the formation of carbon black, is based on an assumed Probability Density Function (PDF) parameterized by the mean and variance of mixture fraction and β-PDF shape. The effects of feedstock mass flow rate and reactor temperature on hydrogen, carbon black, S2, SO2, COS and CS2 formation are investigated. The results show that the major factor influencing CH4 and H2S conversions is reactor temperature. For temperatures higher than 1100° K, the reactor CH4 conversion reaches 100%, whilst H2S conversion increases in temperatures higher than 1300° K. The results reveal that at any temperature, H2S conversion is less than that of CH4. The results also show that in the production of carbon black from sub- quality natural gas, the formation of carbon monoxide, which is occurring in parallel, play a very significant role. For lower values of feedstock flow rate, CH4 mostly burns to CO and consequently, the production of carbon black is low. The results show that the yield of hydrogen increases with increasing feedstock mass flow rate until the yield reaches a maximum value, and then drops with further increase in the feedstock mass flow rate. Key words: Hydrogen, carbon black, sulfur compounds, thermal decomposition, sour natural gas 1. INTRODUCTION As the prices of fossil fuel increase, abundant sour natural gas, so called sub-quality natural gas (SQNG) resources become important alternatives to replace increasingly exhausted reserves of high quality natural gases for the production of carbon black, hydrogen, sulfur and/or CS2 [1–3].At oil flow stations it is common practice to flare or vent International journal of spray and combustion dynamics · Volume .2 · Number . 1 .2010 – pages 85–102 85 1Corresponding author. Fax: 0098-511-8763304 E-mail address: Mohammad.Javadi@gmail.com
  • 2. SQNG, which is produced along with crude oil. This accounts for more than 100 million cubic meters (m3) world-wide per day, and approximately equals to France’s annual gas consumption [4]. Clearly this is of considerable concern in terms of global resource utilization and climate change implications. Gas flaring has also been blamed for environmental and human health problems such as acid rain, asthma, skin and breathing diseases [5]. The removal of H2S from SQNG is expensive and not commercially viable for large-scale plants. When H2S concentration in natural gas is higher than about 1.0%, the high separation cost makes the SQNG uneconomical to use [1]. As mentioned above, production of carbon black from SQNG is one viable option utilizing this untapped energy resource while at the same time reducing carbon oxides and hydrogen sulfide emissions. In a carbon black furnace, thermal decomposition of CH4 +H2S produces hydrogen, carbon and other sulfur compounds [6]. Hydrogen is a promising candidate as a clean energy carrier. It is increasingly recognized as an efficient and sustainable fuel of the future as it is a preferred fuel for fuel cells in homes and cars [7]. Eventual realization of a hydrogen economy requires cost effective and readily available hydrogen containing feedstocks and viable technologies for extracting high purity H2 [8]. Methane as the main component of sub quality natural gas can be converted to hydrogen and carbon in a carbon black gas furnace [8, 9]. Carbon black is an industrial form of soot produced by subjecting hydrocarbon feedstock to extremely high temperatures in a carefully controlled combustion process [9]. Carbon black is widely used as filler in elastomers, tires, plastics and paints to modify the mechanical, electrical and optical properties of materials in which it is used [10, 11]. The purpose of this paper is to assess production of hydrogen and carbon black from sub-quality natural gas (SQNG) using a 3D numerical technique that employs a detailed turbulent flame structure leading to production of hydrogen, carbon black and sulfur compounds. Formation of carbon black is associated with both specific pyrolysis species and soot formation during incomplete combustion of natural gas. The effect of relevant process parameters such as feed gas mass flow rate and reactor temperature on hydrogen, carbon black, S2, SO2, COS and CS2 formation have been described. 2. GAS FURNACE CARBON BLACK AND THERMAL DECOMPOSITION OF SQNG The carbon black furnace used in this investigation is a small-scale axial flow reactor identical to that reported previously by Gruenberger [4]. The furnace has been designed on the basis of using gaseous fuels as feedstock hydrocarbon, with a maximum output of 10 kg carbon black per hour. The basic geometry of the carbon black furnace is shown in Fig. 1, consisting of a precombustor, a mixing zone and a reactor. In the precombustor, the axially injected natural gas burns with inlet air introduced through two tangential inlets. Then, the highly swirling hot combustion gases mix with the sub- quality natural gas injected radially into the precombustor in the proximity of the mixing zone. A sudden increase in the tube diameter at the exit of the choke promotes vigorous mixing of the SQNG fuel with the hot gases leading to thermal decomposition of CH4 + H2S and formation of hydrogen, carbon black, sulfur compounds and other precursor species for the formation of carbon black [11]. 86 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
  • 3. 3. CHEMICAL REACTION MODELING Production of carbon black through thermolysis of SQNG involves a complex series of chemical reactions which control conversion of both CH4 and H2S as follows [3, 12]: Reaction (1) Reaction (2) Since reaction 1 is mildly endothermic, it requires temperatures higher than 850°K to proceed at reasonable rates [13], and, as reaction 2 is highly endothermic, temperatures in excess of 1500°K are required for achieving reasonable rates [6]. A portion of CH4 and H2S can oxidize to produce CO, CO2 and SO2. H2S can also react with CO2 producing COS [14]: Reaction (3) Under special circumstances including using catalyst H2S can react with methane producing carbon disulfide (CS2) and H2 [3]. Reaction (4) 4. TURBULENCE–CHEMISTRY INTERACTION The mixture fraction/PDF method is used to model the turbulent chemical reactions occurring in the diffusion, combustion and thermal decomposition of natural gas in the 2 4 232 2 4 2 2 298 H S CH CS H H kJ mol K + ⇔ + = / ∆ o H S CO COS H O 2 2 2 + ⇔ + H S S H H kJ mol 2 2 2 298 1 2 79 9 → + = − ∆ o . / CH C S H H kJ mol 4 2 298 2 74 9 → + = − ( ) . / ∆ o International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 87 Tangential air inlets Axial fuel inlet 80 150 430 100 120 1000 Reactor Thermal insulation Refractory Mixing zone Swirl burner Precombustor Feedstock ∅26 ∅20 ∅90 ∅260 ∅100 ∅200 Figure 1: Carbon black gas furnace.
  • 4. carbon black furnace. This method, which assumes the chemistry is fast enough for a chemical equilibrium to always exist at molecular level, enables handling of large numbers of reacting species, including intermediate species. Transport equations are solved for the mean mixture fraction f – , its variance f′2 — and for enthalpy h – . Calculations and PDF integrations are performed using a preprocessing code, assuming chemical equilibrium between 30 different species. The results of the chemical equilibrium calculations are stored in look-up tables which relate the mean thermochemical variables (species mass fractions, temperature and density) to the values of f – , f′2 — and h – [15]. In non-adiabatic systems, where change in enthalpy due to heat transfer affects the mixture state, the instantaneous thermo chemical state of the mixture, resulting from the chemical equilibrium model, is related to a strictly conserved scalar quantity known as the mixture fraction, f, and the instantaneous enthalpy, H*, φi = φi (f, H*). The effects of turbulence on the thermo chemical state are accounted for with the help of a probability density function (PDF): (1) In this work, the β-probability density function is used to relate the time-averaged values of individual species mass fraction, temperature and fluid density of the mixture to instantaneous mixture fraction fluctuations. The β-PDF in terms of the mean mixture fraction f – and its variance f′2 — , can be written as: (2) where: (3) Using the unweighted averaging [16], the values of the two parameters f – and f′2 — at each point in the flow domain are computed through the solution of the following conservation equations [17]: (4) (5) ∂ ∂ ′ = ∂ ∂ ∂ ′ ∂       + ∂ ∂ x u f x f x C f x i i t t i g t i ( ) ρ µ σ µ 2 2        − ′ 2 2 C k f dρ ε , ∂ ∂ = ∂ ∂ ∂ ∂       x u f x f x i i t t i ( ) , ρ µ σ α β = − ′ −       = − − ′ −    f f f f f f f f ( ) , ( ) ( ) 1 1 1 1 1 2 2    . P f f f f f df f ( ) ( ) ( ) , = − − < < − − − − ∫ α β α β 1 1 1 1 0 1 1 1 0 1 φ φ i i f H p f df = ∫ ( , ) ( ) . * 0 1 88 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
  • 5. where the constants σt, Cg (= 2/σt) and Cd take the values 0.7, 2.86 and 2.0, respectively. The distribution of the instantaneous enthalpy is calculated from a transport equation as follows: (6) where kt is turbulent thermal conductivity and Sh includes the heat generated by the chemical reaction and radiation. The instantaneous enthalpy is defined as: (7) where mj is the mass fraction of species j and h° j (Tref,j) is the formation enthalpy of species j at the reference temperature Tref,j. 5. SOOT FORMATION MODEL Here, soot formation is modeled by that proposed by Brooks and Moss [18]. The model describes the soot formation in terms of soot particle number density (N) and the mass density (M) and taking into account the inception (nucleation), coagulation, growth and oxidation on the rates as follows: (8) And (9) The acetylene inception model is used for the calculation of soot inception rate according to Brookes & Moss [18]. The inception rates are computed by: (10) and (11) dM dt M N dN dt Inception P A Inception       =       dN dt c N m W e Inception A C H C H       =       − 1 2 2 2 2 ρ 2 21100/T DM Dt dM dt dM dt d Inception Growth =       +       + M M dt Oxidation       DN Dt dN dt dN dt Inception Coagulat =       +       i ion H m H m c dT h T j j j p j j ref j T T j ref j * , , ( ) , = = +       ∫ o ∑ ∑ ∑ j ∂ ∂ = ∂ ∂ ∂ ∂       + ∂ ∂ + x u H x k c H x u x S i i t p i ik i k ( ) * * ρ τ h h International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 89
  • 6. where Mp, the mass of a soot nucleus, has a value of 144 kg kmol–1 based on the assumption that the soot size corresponds to 12 carbon atoms and c1 = 54 s–1 determined by Brookes and Moss [18]. Assuming that particles are monodispersed in size and are spherical, the coagulation rate and reaction surface are given by: (12) and (13) Where R is the universal gas constant, ρsoot =2000kg.m–3 and c2 =9000.6kg.m. kmol–1.s–1 according to Wen et al. [19]. 6. SOOT COMBUSTION MODEL Soot oxidation is modeled by using O2–OH oxidation model [19]. This model takes into account oxidation of soot by both O2 and OH radicals. The rate of soot oxidation is given by [19, 20]: (14) where η = 0.13 and c4= 105.81 kg.m.kmol–1.K–1/2.s–1, which are obtained by converting the rate of soot consumption. 7. NUMERICAL SOLUTION PROCEDURE Fluent CFD software has been used to model the furnace employing solution-adaptive grid refinement technique to solve the 3D problem. Gambit preprocessor is used for the fully three dimensional geometry creation and unstructured grid generation. The 3D volume grid is represented in Fig 2. The domain is discretized into a grid of 20493 nodes and 82745 tetrahedral cells. The conservation equations for mass, momentum, energy, Reynold’s stresses, dissipation rate, mixture fraction and its variance, and concentration of soot are solved by finite-volume analysis, using a second-order upwind scheme for discretisation of the convective terms in the transport equations. dM dt c m W T N M Oxidation OH OH S       = − 4 1 3 6 ρη π ρ ( ) / o oot O O c m W T T       − −       2 3 3 2 2 19778 exp ( ρ πN N M Soot ) / / 1 3 2 3 6 ρ       dM dt c m W e growth C H C H       =       − 2 21100 2 2 2 2 ρ / / / / T Soot N M × ( )             π ρ 1 3 2 3 6 dN dt R N coagulation Soot A       = −       24 6 1 2 ρ / π πρSoot T M N       1 6 1 2 1 6 11 6 / / / / 90 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
  • 7. The acetylene inception soot model is implemented via user-defined functions within the finite-volume CFD code FLUENT. The radiative heat transfer in the absorbing, emitting and scattering medium is calculated by the Discrete Ordinates (DO) radiation model [21]. The RSM model is used for prediction of anisotropic, highly swirling and recirculating flow inside the combustor. Abandoning the isotropic eddy-viscosity hypothesis, the RSM closes the Reynolds-averaged Navier-Stokes equations by solving six differential transport equations for Reynolds stresses, together with an equation for the dissipation rate of turbulence kinetic energy. The conventional wall-function approach is used in the near-wall region. At the inlet boundary, conditions are specified once and did not need updating during the course of the solution procedure. At the outlet boundary, zero gradient conditions are applied. We assumed an isothermal boundary condition at the wall of the furnace. A grid dependence study was conducted to arrive at the appropriate size of the grid for optimal accuracy and efficiency. The number of grid points was varied from 17231 to 36387 for typical set operating conditions. We observed that the field quantities varied less than 1% after the number of grid points increased beyond 20493. For the radiation model, emissivity coefficient at the flow inlets and outlets were taken to be 1.0 (black body absorption). Wall emissivity was set at 0.6, a typical value for combustion gases. 8. RESULTS Numerical calculations were performed on the axial flow gas furnace described by Gruenberger [4] as shown in Fig. 1. The total precombustor inlet airflow rate is 19 × 10–3 m3/s, at a temperature of 690°K and pressure of 1 bar. The equivalence ratio used for the precombustor is 0.92. The accuracy of the quantitative or even the qualitative trends for the combustion and decomposition parameters depend on the accuracy with which the temperature and species concentration fields are determined from the numerical calculation of the present model. To establish the accuracy of our model, we calculated and compared the model predictions to the experimental measurements of Gruenberger [4] with no H2S. For comparison purposes, we first conducted computations without H2S in feed gas. A comparison of reactor outlet average temperature and carbon black yield (kg carbon black/kg feedstock) predicted by this model and that from experimental results is given in Figs. 3 and 4. Resulting of Fig. 3 depict that model predicts lower temperatures than the experimental data especially at high feed flow rates. The discrepancy International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 91 Figure 2: Three-dimensional tetrahedral grid.
  • 8. between the two results might be due to the fundamental assumption made in the combustion model used (PDF fast chemistry combustion model) which assumes that chemistry is fast enough for a chemical equilibrium. Figure 4 show that the predicted and measured carbon black yields are in very good agreement and maximum carbon 92 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas Exp. (4) 2100 1900 1700 Temprature (K) 1500 1300 1100 0 1 2 Feedstock mass flow rate (1000* kg/s) 3 4 Pre. (this study) Figure 3: Comparison of the predicted reactor outlet temperature with the experimental data. Exp. (4) 40 30 20 10 Carbon black yield (%) 0 0.0 1.0 2.0 3.0 Equivalence ratio 4.0 5.0 6.0 Pre. (this study) Figure 4: Comparison of the predicted carbon black yield with the experimental data.
  • 9. black yield is reached at the equivalence ratio of 3. The discrepancy between the two results can be attributed to the temperature levels obtained by the two methods (see Fig. 3). The lower temperature levels computed by the model might be due to higher decomposition of CH4. Figure 5 presents the calculated distributions for CH4, H2S, temperature and mass fraction of soot, carbon black, COS and gaseous sulfur predicted by the model at feed rate of 3 × 10–3 kg/s. H2S mass fraction in natural gas assumed to be 10%. Of particular interest are Figs. 5d-f that show soot formation due to incomplete combustion of inlet methane and production of solid carbon and gaseous sulfur by thermolysis of methane- hydrogen sulfide jet interaction with hot surroundings. Results from the model calculations seem to indicate that the use of more inlet injection ports for SQNG feed would increase the yield of carbon black and sulfur compounds. Figure 6 shows the reactor outlet temperature as a function of inlet mass flow rate for two cases a) with H2S, b) without H2S. It can be seen that the results obtained for these two cases are similar. The small discrepancy between the results may be due to CH4 decomposition reaction that begins at lower temperatures that of H2S. Also, Fig. 6 depicts that temperatures drop precipitously with increasing flow rate of feed gas due to the endothermic nature of both CH4 and H2S decomposition reactions. Figures 7 and 8 show the effect of feed gas flow rate and reactor outlet temperature on CH4 and H2S conversions given by [3]: where [CH4]0 and [H2S]0 denote the initial (input) concentration of CH4 and H2S, respectively. [CH4] and [H2S] are equilibrium concentration of CH4 and H2S at reactor outlet, respectively. Figure 7 depicts that the H2S conversion drop sharply with increased feed gas flow rate; this can be attributed to the endothermic nature of H2S and CH4 decomposition reactions. For higher values of feed gas flow rate (≥ 0.002kg/s) CH4 conversion decreases with increased feed gas flow rate due to the endothermicity of CH4 thermolysis. The major factor influencing CH4 and H2S conversions appears to be temperature. Figure 8 shows that CH4 conversion reaches 100% at temperatures above 1100°K. Because CH4 decomposition reaction is mildly endothermic, the temperature must be above 850°K for the reaction to proceed at a reasonable rate. This is in accord with the results of Huang and T-Raissi [3]. At any temperature, H2S conversion is less than that of CH4, especially at those below 1300°K wherein H2S conversion is less than 5%. For higher values of reactor temperature (≥1300°K), H2S conversion increases sharply with reaction temperature. As H2S decomposition reaction is endothermic, the temperature must be above 1500°K for the reaction to proceed at rapid rates. Figure 9 shows the effect of feedstock flow rate on CH4, carbon black, soot and CO mass fractions at the furnace outlet. It can be seen that for lower values of feed gas flow rates, the very high temperature precombustor effluent (see Fig. 6) causes the feedstock methane to convert to CO rather than carbon. For higher values of feedstock flow rate, the formation of carbon black increases, and due to the resulting lower temperatures, the mass fraction of CO and soot decreases. This is so because the soot model strongly CH conversion CH CH CH H S co 4 4 4 4 2 0 0 100 = − × [ ] [ ] [ ] , n nversion H S H S H S = − × [ ] [ ] [ ] 2 2 2 0 0 100 International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 93
  • 10. 94 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas 0.00e+00 8.63e−04 1.73e−03 2.59e−03 3.45e−03 4.32e−03 5.18e−03 6.04e−03 6.91e−03 7.77e−03 8.63e−03 2.39e+03 2.28e+03 2.18e+03 2.08e+03 1.97e+03 1.87e+03 1.76e+03 1.66e+03 1.55e+03 1.45e+03 1.34e+03 1.24e+03 1.13e+03 1.03e+03 9.25e+02 8.21e+02 7.16e+02 6.12e+02 5.07e+02 4.03e+02 2.98e+02 1.21e−01 1.15e−01 1.09e−01 1.03e−01 9.67e−02 9.07e−02 8.47e−02 7.86e−02 7.26e−02 6.65e−02 6.05e−02 5.44e−02 4.84e−02 4.23e−02 3.63e−02 3.02e−02 2.42e−02 1.81e−02 1.21e−02 6.05e−03 0.00e+00 1.00e+00 9.50e−01 9.00e−01 8.50e−01 8.00e−01 7.50e−01 7.00e−01 6.50e−01 6.00e−01 5.50e−01 5.00e−01 4.50e−01 4.00e−01 3.50e−01 3.00e−01 2.50e−01 2.00e−01 1.50e−01 1.00e−01 5.00e−02 0.00e+00 (a) CH4 (b) H2S (c) Temprature (k) (d) Soot Figure 5 (Continued)
  • 11. depends on the reaction temperature. Figure 10 shows the effect of feedstock flow rate on H2 and carbon black yields at the furnace outlet. It can be seen that the yield of H2 increases with increased feed gas flow rate until it reaches a maximum value, and then drop with further increase in the flow rate. For higher values of feedstock flow rate, the yield of carbon black increases, and, due to reduction in CH4 conversion (see Fig. 7), the yield of hydrogen decreases. Figure 11 depicts the yield of sulfur (due to H2S decomposition) and SO2 (due to H2S combustion) as a function of feedstock flow rate at the outlet of the furnace. S2 and SO2 yields are defined as [3]: S S H S SO SO H S 2 2 2 0 2 2 2 0 2 100 1 (%) [ ] [ ] * , (%) [ ] [ ] * = = 0 00. International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 95 (e) Carbon black (f) COS (g) S2 1.38e−01 1.31e−01 1.24e−01 1.17e−01 1.10e−01 1.03e−01 9.65e−02 8.96e−02 8.27e−02 7.58e−02 6.89e−02 6.20e−02 5.51e−02 4.82e−02 4.14e−02 3.45e−02 2.76e−02 2.07e−02 1.38e−02 6.89e−03 0.00e+00 2.98e−04 2.83e−04 2.68e−04 2.53e−04 2.38e−04 2.23e−04 2.09e−04 1.94e−04 1.79e−04 1.64e−04 1.49e−04 1.34e−04 1.19e−04 1.04e−04 8.94e−05 7.45e−05 5.96e−05 4.47e−05 2.98e−05 1.49e−05 0.00e+00 6.56e−04 6.23e−04 5.90e−04 5.58e−04 5.25e−04 4.92e−04 4.59e−04 4.26e−04 3.94e−04 3.61e−04 3.28e−04 2.95e−04 2.62e−04 2.30e−04 1.97e−04 1.64e−04 1.31e−04 9.84e−05 6.56e−05 3.28e−05 0.00e+00 Figure 5: Contour of species mass fractions and temperature (K).
  • 12. 96 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas 2100 1900 1700 1500 Temperature (K) 1300 1100 0 1 2 3 4 5 6 Feedstock mass flow rate (1000*kg/s) Without H2S With 10% H2S (maas) Figure 6: Effect of feedstock flow rate on calculated outlet temperature. CH4 100 80 60 40 20 0 0 1 2 3 4 5 6 70 75 80 85 90 95 100 H2S Feedstock mass flow rate (1000* kg/s) CH 4 conversion (%) H 2 S conversion (%) Figure 7: Effect of feedstock mass flow rate on H2S and CH4 conversions.
  • 13. International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 97 CH4 100 80 60 40 20 0 800 1000 1200 1400 1600 1800 2000 2200 70 75 80 85 90 95 100 H2S Temprature (K) CH 4 conversion (%) H 2 S conversion (%) Figure 8: Effect of reactor outlet temperature on H2S and CH4 conversions. 6 4 2 0 8 10 12 14 16 18 0 0 1 2 3 4 5 6 6 5 4 3 2 1 Mass fraction of CO (%) CH4 Soot Feedstock mass flow rate (1000* kg/s) Carbon black Mass fraction of soot, CH 4 & carbon black (%) CO Figure 9: Effect of feedstock flow rate on CH4, CO, carbon black, and soot mass fractions.
  • 14. where [S2] and [SO2] denote the equilibrium molar concentrations of S2 and SO2, respectively [8]. The figure reveals that for low values of feedstock flow rate (≤ 0.002kg/s) that result in high reaction temperatures (see Fig. 3) H2S converts mostly to S2 and SO2. It can be seen that for higher values of feedstock flow rate, yield of S2 and SO2 are quite low. This is due to reduced conversion of H2S conversion (see Figure 98 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas 0 0 1 2 3 Feedstock mass flow rate (1000* kg/s) Yields of C(S), H 2 (%) 4 5 6 20 40 60 80 100 H2 C(S) Figure 10: Effect of feedstock mass flow rate on H2 and C(S) productions. 0 1 Feedstock mass flow rate (1000* kg/s) 2 3 0 S 2 and SO 2 yields (%) 10 20 30 40 50 60 70 S2 SO2 Figure 11: Effect of feedstock mass flow rate on S2 and SO2 .
  • 15. 7). Figures 12 and 13 depict the effects of feedstock mass flow rate and temperature on the yield of COS and CS2, respectively, as defined by: COS COS H S CS CS CH (%) [ ] [ ] * , (%) [ ] [ ] * = = 2 0 2 2 4 0 100 1 100 International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 99 0.009 0.007 0.005 0.003 CS 2 yield (%) 0.001 −0.001 3.5 3 2.5 COS CS2 2 1.5 COS yield (%) 1 0.5 0 6 5 4 3 Feedstock mass flow rate (1000* kg/s) 2 1 0 Figure 12: Effect of feedstock mass flow rate on COS and CS2 yields. 0.009 0.007 0.005 0.003 CS 2 yield (%) 0.001 −0.001 3.5 3 2.5 COS CS2 2 1.5 COS yield (%) 1 0.5 0 2000 1700 1400 1100 Temperature (K) 800 Figure 13: Effect of reactor outlet temperature on COS and CS2 yields.
  • 16. where [COS] and [CS2] denote the equilibrium molar concentration of COS and CS2, respectively [3]. Figure 12 shows that COS and CS2 yields increase with increased feedstock flow rate until they reach a peak, and then drop with further increase in feed gas flow rate. Figure 13 shows that the increase in temperature results in increased COS and CS2 yield up to their respective maxima and then decrease. The maxima of COS and CS2 yields occur at different temperatures (1100°K and 1300°K respectively). Figures 12 and 13 reveal that yield of CS2 is always low (≤ 0.0007%). This is in accord with results of Huang and T-Raissi [3] and Towler and Lynn [12]. 9. CONCLUSIONS The production of hydrogen and carbon black from sub-quality natural gas containing methane (CH4) and hydrogen sulfide (H2S) has been analyzed. The process involved the oxidative and thermal decomposition of CH4 with and without H2S present. Based on the presented results, the following conclusions may be drawn: • The major factor influencing CH4 and H2S conversions is the reactor temperature. • At temperatures above 1100°K, CH4 conversion is complete. • At any temperature, H2S conversion is less than that of CH4, especially at temper- ature below 1300°K for which H2S conversion is less than 5%. • The yield of hydrogen increases with increasing feed gas mass flow rate until it peaks and then drops with further increase in the flow rate. • For temperatures higher than 1300°K, H2S conversion increases sharply with temperature. The major reaction products are S2 and SO2 with carbonyl sulfide (COS) and carbon disulfide (CS2) being present as minor products. • For lower values of feedstock flow rate, CH4 is converted to mostly CO and consequently, the yield of carbon black is low. For higher values of feed gas mass flow rates yield of carbon black increases to a maximum value before dropping at much higher feed gas flow rates. REFERENCES [1] C. Huang, A. T-Raissi, J. Power Sources, 163, 645–652 (2007). [2] H.K. Abdel, M.A. Shalabi, D.K. AL-Harbi and T. Hakeem, Int. J. Hydrogen Energy, 23, 457–462 (1998). [3] C. Huang and A. T-Raissi, J. Power Sources, 175, 464–472 (2008). [4] T.M. Gruenberger, M. Moghiman, P.J. Bowen and N. Syred, Combust. J. Sci. and Tech., 174, 67–86, (2002). [5] T.W. Lambert, V.M. Goodwin, D. Stefani and L. Strosher, Int. J. Science of the Total Environment, 367, 1–22 (2006). [6] C. Huang and A. T-Raissi, J. Power Sources, 163, 637–644 (2007). [7] H. Ryu, Y. Lee, H. Lee, Y. Han, J. Lee and J. Yoon, J. Catalysis Today, 123, 303–309 (2007). [8] J.S. Jang, H.G. Kim, P. H. Borse and J. S. Lee, Int. J of Hydrogen Energy, 32, 4786–4791 (2007). 100 Hydrogen and carbon black production from thermal decomposition of sub-quality natural gas
  • 17. [9] U. Ghosh, J. Human and Ecological Risk assessment, 13, 276–285 (2007). [10] W. Cho, S.H. Lee, W.S. Ju, Y. Baek and J.K. Lee, J. Catalysis Today, 98, 633–638 (2004). [11] F.C. Lockwood, J.E. Niekerk and J.E. Van, J. Combustion and Flame, 103, 76–90 (1995). [12] P. Towler and S. Lynn, J. Chemical engineering communications, 155, 113–143 (1996). [13] A.M. Dunker, S. Kumar and P. A. Mulawa, J. Hydrogen Energy, 31, 473–484 (2006). [14] K. Sakanishi, Z. Wu, A. Matsumura and I. Saito, J. Catalysis Today, 104, 94–100 (2005). [15] A. Saario and A. Rebola, J. Fuel, 84, 359–369 (2005). [16] W.P. Jones and J.H. Whitelaw,, J. Combustion and Flame, 48, 1–26 (1982). [17] J. Warnatz, U. Maas, and R.W Dibble., “Combustion”, Springer-Verlag, Berlin (2006). [18] S.J. Brooks and J. B. Moss, J. Combustion and Flame, 116 (1999) 486–503. [19] Z. Wen, S. Yun, M.J. Thomson, and M.F. Lightstone, J. Combustion and Flame, 135, 323–340 (2003). [20] K. Bashirnezhad, M. Moghiman, I. Zahmatkesh, Iran. J. Chem. Chem. Eng., 26, 45–54 (2007). [21] J.Y. Murthy and S.R. Mathur, AIAA-98-0860, January 1998. International journal of spray and combustion dynamics · Volume . 2· Number . 1 . 2010 101