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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Detailed Chemical Kinetic Modelling of Aromatic Diesel Fuel Components</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>, V. Markaki and R.K. Robinson Department of Mechanical Engineering Imperial College London</institution>
          ,
          <addr-line>Exhibition Road, London SW7 2AZ</addr-line>
          ,
          <country country="UK">UK</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>R.</institution>
          <addr-line>P. Lindstedt</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>The ability to predict the inter-conversion of poly-aromatic hydrocarbons (PAHs) of different toxicities and emissions of fine carbon-based particles from Diesel engines are of increasing relevance given their harmful effects. The matter is complicated by the complexity of Diesel fuels and model fuel blends have to be used in numerical simulations of practical engines. The use of aromatic fuel component(-s) in such blends provides a route towards the modulation of the propensity of a fuel to produce such emissions provided the chemistry is sufficiently well understood. The current work extends past efforts related to the oxidation of 1-methyl naphthalene, which has been identified as a potential key component of surrogate Diesel fuels. Specifically, 1-methyl naphthalene may be used to modulate sooting tendencies and the methyl groups on aromatic rings (e.g. xylenes and tri-methyl benzenes) have also been identified as important in the context of fuel reactivity.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Background</title>
      <p>Past work on the oxidation of single-ring
aromatics include the studies by Emdee et al. [1],
Lindstedt and Maurice [2] and Klotz et al. [3].
Studies of two-ringed structures are less prevalent.
However, Shaddix [4] investigated the oxidation of
naphthalene and 1-methyl naphthalene under
turbulent flow reactor (TFR) conditions and Pitsch [5]
proposed a kinetic mechanism for the oxidation
latter species. Lindstedt et al. [6] considered a wide
range of PAH formation paths and Dagaut and
coworkers [7,8] studied the oxidation of m-xylene and
1-methyl naphthalene under jet-stirred reactor
(JSR) conditions. The chemistry of soot/PAH
growth and oxidation tends to be slow compared to
flow time-scales and detailed studies of turbulent
flames are less prevalent. Lindstedt and Louloudi
[9] reported a study of the formation and oxidation
of soot in turbulent diffusion flames using a
transported PDF method combined with the method of
moments and with a soot surface oxidation
analogy based on naphthalene. The explicit functional
form of the latter was obtained using the
systematic reduction technique of Peters (e.g. Peters and
Rogg [10]). The chemistry of naphthalene and
indene were subsequently explored by Lindstedt et
al. [11] in an effort to further evaluate the ability of
a fixed sectional method [12] to compute soot
particle size distributions in the size range from &lt; 1 nm
to 100 nm. Critical reaction steps in the oxidation
process were identified and subjected to detailed
investigations via quantum mechanical methods
using Gaussian-03 [13] with rate constants
determined from the potential energy surfaces using
variable transition state theory and
RiceRamsperger-Kassel-Marcus/master equation
approaches. The critical reaction paths included C9H7
+ HO2/O2 channels and the linkage of C5 and C6
rings as part of the oxidation process [11]. The
current work further assesses the progress made
in the understanding of the associated reaction
paths for two-ringed aromatics. In particular,
attention is given to 1-methyl naphthalene which has
been identified as a means of modulating the
sooting propensity of surrogate Diesel fuels. The
applied detailed chemical reaction mechanism was
initially created from reaction classes derived from
studies of the oxidation and pyrolysis of toluene,
benzene and cyclo-pentadiene. Accurate
thermodynamic data is particularly important given the
large number of isomerisation reaction present in
detailed reaction sequences for PAH
formation/oxidation. As part of the present work, earlier
estimates, often obtained on the basis of variants
of Benson's additivity method, were replaced by
data derived from quantum mechanical methods
using Gaussian-03 (at the G3MP2B3 level) in
combination with density functional theory (DFT)
analysis for internal rotations. The validation of the
derived mechanism was achieved by comparison
with experimental data from jet stirred and
turbulent flow reactors.</p>
    </sec>
    <sec id="sec-2">
      <title>Results and Discussion</title>
      <p>The 1-methyl naphthalene chemistry was
initially tested under JSR conditions using data from
Mati et al. [8] for the conditions shown in Table 1.</p>
      <p>The data is suitable for clarifying the
decomposition channels of the fuel and provides extensive
information on stable species.</p>
      <p>Φ
0.5
1.0
1.5</p>
      <p>P (atm)
1.0
1.0
1.0</p>
      <p>T (K)
1097-1290
1094-1400
1147-1440</p>
      <p>O2</p>
      <p>Shaddix [4] performed gas-phase sampling to
study the oxidation of 1-methyl naphthalene in a</p>
      <p>
        TFR and obtained time-dependent concentration
1.5
1.0
1166
profiles for major species under the conditions A rate analysis was performed at a temperature of
shown in Table 2. In the current study, computa- 1202 K to highlight key reaction pathways. The
1tions were performed corresponding to all the ex- methyl naphthalene oxidation is overall controlled
perimental conditions. The focal point of the cur- by reactions (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) to (
        <xref ref-type="bibr" rid="ref4">4</xref>
        ). Reaction (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) is the major
rent discussion is the ability of the developed me- consumption channel and contributes up to 25%.
chanism to reproduce the oxidation behaviour un- Reaction (
        <xref ref-type="bibr" rid="ref4">4</xref>
        ) is responsible for 23% of consumption
der fuel rich conditions, due to the importance to and reactions (
        <xref ref-type="bibr" rid="ref2">2</xref>
        ) and (
        <xref ref-type="bibr" rid="ref3">3</xref>
        ) contribute a further 16%
the formation of particulates. However, the ob- and 12% respectively. The 1-methyl naphthyl
raditained agreement was similar for fuel lean cases. cal, formed by the benzylic H removal (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ), is partly
recycled back to C11H10 via H recombination. The
Φ P (atm) T (K) O2 C11H10 pathway leading to the 1-napthyl methoxy radical
1.0 1.0 1169 0.01485 0.0011 (C11H9O) is responsible for ~70% of the
naphthalene production.
      </p>
      <p>
        In contrast to other studies, the developed
mechanism does not feature any global reaction steps
and generally reasonable agreement was obtained
between computations and the experimental data
obtained by Mati et al. [8] as exemplified for fuel
rich oxidation shown in Fig. 1.
Methane is produced by reactions (
        <xref ref-type="bibr" rid="ref5">5</xref>
        ) and (
        <xref ref-type="bibr" rid="ref6">6</xref>
        )
which contribute 67% and 22% respectively. The
rate of reaction (
        <xref ref-type="bibr" rid="ref5">5</xref>
        ) is increased by 21% and
reaction (
        <xref ref-type="bibr" rid="ref6">6</xref>
        ) by 7% compared to the fuel lean case.
      </p>
      <p>
        Reaction (
        <xref ref-type="bibr" rid="ref7">7</xref>
        ) is responsible for less than 2% of CH4
production.
      </p>
      <p>C11H10 + CH3 = C11H9 + CH4
C11H10 + CH3 = C11H9P + CH4</p>
      <p>
        CH3 + HO2 = CH4 + O2
The CH3 radical pool is predominantly formed via
reactions (
        <xref ref-type="bibr" rid="ref8">8</xref>
        ) and (
        <xref ref-type="bibr" rid="ref9">9</xref>
        ). Reaction (
        <xref ref-type="bibr" rid="ref8">8</xref>
        ) is responsible
for 80% of the methyl radical production and
reaction (
        <xref ref-type="bibr" rid="ref9">9</xref>
        ) contributes 15%. The consumption of the
methyl radical is strongly influenced by reactions
(
        <xref ref-type="bibr" rid="ref5">5</xref>
        ) and (
        <xref ref-type="bibr" rid="ref6">6</xref>
        ), which contribute 30% and 11%
respectively. The methyl radical recombination leading to
ethane (C2H6) formation contributes up to 26%,
compared to the lean case where it is responsible
for the 32% of the total CH3 consumption. It may
be noted that ethane levels are reproduced with
reasonable accuracy as shown in Fig. 1.
      </p>
      <p>
        C9H7 + CH3 = C9H7CH3
C11H10 + H = C10H8
+ CH3
(
        <xref ref-type="bibr" rid="ref8">8</xref>
        )
(
        <xref ref-type="bibr" rid="ref9">9</xref>
        )
The 1-methyl-4-napthoxy radical (OC11H9) leads
almost exclusively to the 1-methyl indenyl radical
(C9H6CH3), which in turn leads to benzofulvene
and 1-methyl indene (C9H7CH3) via H addition. The
former subsequently leads to naphthalene via
isomerisation reactions. The pathway is
responsible for 5% of the total naphthalene production and
suggests that the linkage between C5 and C6 ring
structures [6] also prevails to some extent at lower
temperatures. The overall distribution between
single and two ring aromatics is reasonably well
reproduced as shown in Figs. 1 and 2.
      </p>
      <p>
        (
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
(
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
(
        <xref ref-type="bibr" rid="ref3">3</xref>
        )
(
        <xref ref-type="bibr" rid="ref4">4</xref>
        )
(
        <xref ref-type="bibr" rid="ref5">5</xref>
        )
(
        <xref ref-type="bibr" rid="ref6">6</xref>
        )
(
        <xref ref-type="bibr" rid="ref7">7</xref>
        )
      </p>
    </sec>
    <sec id="sec-3">
      <title>Conclusions</title>
      <p>The current work has shown that the
breakdown products resulting from the oxidation of
1methyl naphthalene can be modeled with
reasonable accuracy. The actual distribution of the primary
two-ring and secondary single-ring aromatics is
important as it can be expected that the product
distribution will influence the distribution of
subsequent PAHs formed during the fuel oxidation
process. Irrespective of such considerations, the
ability to represent the chemical kinetics of a key
surrogate fuel component represents an important
step towards the creation of increasingly accurate
surrogate Diesel fuel blends for the use in practical
engine simulations following the application of
simplification techniques.</p>
    </sec>
    <sec id="sec-4">
      <title>Acknowledgement</title>
      <p>The authors are grateful for the financial
support of EOARD under award FA8655-06-1-3052
and BP Global Fuels Ltd.</p>
    </sec>
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