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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Auto-ignition of aromatic and aliphatic Diesel fuel components: High-pressure shock-tube experiments and kinetic modeling for toluene and n-heptane</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>M. Hartmann</string-name>
          <email>michaela.hartmann@uni-due.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>I. Gushterova</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>R. Schießl</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>U. Maas</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>C. Schulz</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute for Combustion and Gasdynamics University of Duisburg-Essen</institution>
          ,
          <addr-line>Duisburg</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute for Technical Thermodynamics University of Karlsruhe</institution>
          ,
          <addr-line>Karlsruhe</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The auto-ignition of toluene and n-heptane as model fuels for Diesel fuel components have been studied in a highpressure shock tube under engine-relevant conditions. Toluene/air and n-heptane/air mixtures as well as toluene/nheptane/air (10/90% and 40/60% by volume) have been investigated over a wide temperature range (700 - 1200 K), = 1.0 and 0.5 and 40 bar behind reflected shock waves. A kinetic mechanism based on the detailed Lawrence Livermore PRF (primary reference fuel) mechanism [1] extended with a toluene submechanism has been tested against the experimental ignition delay times and calculations for engine-relevant pressures and temperatures have been performed. The temporal variation in toluene concentration in the pre-ignition phase is determined relative to the base fuel and the pressure rise induced by the heat release.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        Since many years, n-heptane is used as model
fuel for Diesel to simplify kinetic modeling. Toluene
can be found as aromatic compound in some
Diesel fuels, and is also used as a fluorescent
species for fuel concentration imaging studies. The
ignition behavior of each component and their
interaction in mixtures is interesting for the
improvement of existing chemical reaction mechanisms.
The visualization of the fuel distribution during
combustion processes is of practical interest, too.
Therefore, the fluorescence of toluene that might
be added or is already contained in Diesel fuels,
can be used by laser induced fluorescence (LIF)
imaging measurements [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. For these
measurements the interaction of toluene with the fuel
oxidation chemistry is crucial for two reasons: (i) a tracer
that is added to the base fuel should not modify the
ignition properties of the fuel and (ii) the lifetime of
the fluorescing component relative to either the
lifetime of the parent fuel or to the profile of heat
release must be known for an adequate
interpretation of the measured signals.
      </p>
      <p>
        Toluene auto-ignition has been subject of
several experimental and numerical studies. Most of
these studies (e.g. [
        <xref ref-type="bibr" rid="ref3 ref4">3,4</xref>
        ]) focus on the oxidation of
toluene in dilute mixtures for low pressures and
high temperatures in shock tubes. Only few
investigations under engine-relevant conditions and
mixtures of toluene with model fuels are found in
literature. For these conditions, the chemical
reaction mechanisms are not satisfactorily validated
against experimental data.
      </p>
      <p>
        Few papers addressed the interaction of
fluorescence tracers and fuels. A recent study
investigated the stability of biacetyl relative to reference
fuels based on simulations so far, however, without
experimental validation [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
    </sec>
    <sec id="sec-2">
      <title>Experimental</title>
      <p>
        Ignition delay time measurements have been
performed in a heatable high-pressure shock tube.
The maximum test time is extended up to 15 ms by
driver gas tailoring [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. The initial temperature is
set to 80°C to ensure total evaporation of the test
gas mixtures. A detailed description of the shock
tube and the preparation of the mixtures can be
found in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The temperature and pressure behind
the reflected shock wave were computed from the
incident shock velocity, its attenuation and the
initial conditions T1 and the filling pressure p1 using
a one-dimensional shock tube code (shock tube
code of the CHEMKIN-package [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]).The ignition
delay time ign is defined as the period between the
arrival of the reflected shock wave in the
measuring region and the steepest increase in the
CH*chemiluminescence signal.
      </p>
    </sec>
    <sec id="sec-3">
      <title>Chemical reaction mechanism</title>
      <p>
        For the simulations, we used the detailed
Lawrence Livermore PRF mechanism [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] augmented
by a toluene submechanism of Andrae et al. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>Numerical simulations</title>
      <p>Numerical simulations based on a
homogeneous reactor model were performed to theoretically
determine ignition delay times. All simulations used
an adiabatic constant-volume model. The chemical
source term was evaluated using the reaction
mechanism described above.</p>
      <p>Several simulations were run in a parametric
study with initial conditions set according to the
shock-tube experiments: Simulations were run with
pure n-heptane and toluene and with mixtures with
various toluene concentrations. Global maps were
derived to investigate the influence of toluene on
the ignition properties of n-heptane.</p>
      <p>A comparison of the development of toluene and
n-heptane during ignition and combustion in an
engine is shown in Fig. 1. The data are from a
numerical simulation using a homogeneous reactor
model for the engine. A stoichiometric n-heptane /
toluene (90/10% by volume) / air mixture (initially
at 350 K, 1 bar) is compressed adiabatically
according to a prescribed volume-pressure history
simulating an engine with a compression ratio of
12 and a speed of 2000 min–1.
for pure toluene in air, a linear behavior in the
Arrhenius-diagram is observed. Also, with increasing
toluene concentration, the ignition delay times
increase with increasing toluene concentration. For
pure toluene/air mixtures, a linear behavior of ign is
observed in the Arrhenius-diagrams.</p>
      <p>The absolute values of ign for lean mixtures are
longer. The influence of 10vol% toluene on ign is
small for the stoichiometric mixtures. The lean
mixture is slightly influenced by the toluene doping.
The strongest increase of ign is found for T5 = 740
K.</p>
      <p>1
0.8
%
l
om0.6
g
inn0.4
i
a
rem0.2
175
crank angle
180</p>
      <p>185
toluene pressure 100
n-heptane
80
60
40
r
a
b
/
e
r
u
s
s
e
r
p
0
Fig. 1: Relation between th0e.0r1e4l5ative conc0e.0n1tr5ations of 0n.-012505
time / s
heptane and toluene during the ignition and combustion
in an engine (simulation), shown as temporal profiles,
along with the corresponding simulated pressure curve.</p>
      <p>Fig. 1 shows the disappearance of n-heptane
and toluene on a time axis compared to the
pressure rise as an indication of the second ignition
stage. It can be seen that under the chosen
conditions, there is an initial decrease in toluene
concentration that is synchronized to the decay of the
base fuel. About 60% of the initial toluene,
however, survives until the onset of the second-ignition
stage. This indicates that in a case with
homogeneous fuel distribution, the measurement of
toluene concentration (e.g. via LIF) directly yields
information about both, the location of first and
second ignition. For an inhomogeneous case
further experiments are needed to investigate if both
effects can be separated.</p>
    </sec>
    <sec id="sec-5">
      <title>Results and Discussion</title>
      <p>Ignition delay times were determined for pure
nheptane and toluene/air mixtures and for
n-heptane/toluene (90/10vol% and 60/40vol%) / air
mixtures for = 1.0 and 0.5 and p5 = 40 ± 2 bar over a
wide temperature range of 700–1200 K.</p>
      <p>Fig. 2 shows the comparison of measured and
simulated ign for n-heptane with and without
different concentration of toluene and for pure toluene
for p5 = 40 bar and = 1.0 (upper part) and 0.5
(lower part). A pronounced s-shaped curve is
observed for low toluene concentrations due to the
main component n-heptane in simulations and
measurements as well, indicating a NTC (negative
temperature coefficient) behavior. With increasing
toluene concentration, this effect decreases and</p>
      <p>The simulations overpredict the measured ign
for pure n-heptane and n-heptane with small
toluene concentrations. Qualitatively, simulations and
experiments show the same trends for all
conditions. By “tuning” some sensitive reactions in the
mechanism, better agreement in the absolute
values of ign can be achieved even for low toluene
concentrations. Therefore, the pre-exponential
factor A in the Arrhenius-expression of the chain
branching reaction H2O2+M=OH+OH+M is
increased. Importantly, this “tuned” mechanism
essentially predicts the same change (relative to the
pure fuel) of ignition delay when toluene is added,
like the original mechanism.</p>
      <p>To gain a more complete picture of the
influence of toluene on the auto-ignition behavior of
nheptane, a map of the ratio n-heptane + toluene / n-heptane
is simulated to determine the relative effect of
toluene on the ignition delay (Fig. 3). If this ratio is
larger than one, toluene has a decelerating effect,
if it is smaller than one, toluene has an
accelerating effect on the ignition delay.</p>
      <p>For toluene concentrations &lt; 20%, the influence
of toluene is quite weak (mostly less than 5%, only
for 820 K &lt; T &lt; 920 K almost 30%). For more than
1200
1100</p>
      <p>1
1/K000
T
900
800
0
20% toluene, ign is only by a factor of about 1.5
larger than for pure fuel. The strength of the
influence of toluene depends on temperature. For 30%
toluene, there is a factor 1.5 increase at 850 K,
while at 1000 K, the same toluene concentration
has no influence at all ( / (pure fuel) 1 at 30% at
1000 K). In the lower-temperature range, toluene
concentrations &gt; 30% cause a rapid increase in ign
up to a factor of 4 at 60% and 850 K, for instance.,
Above 950 K, the increase is far less pronounced:
At 1000 K, even with 80% toluene, the ignition
delay compared to pure n-heptane increases only
by a factor of 1.3.</p>
      <p>The overall shape of the function shows that the
dependence of ignition delay on the toluene
concentration is highly nonlinear and also strongly
temperature-dependent. Especially, the ignition
delay for n-heptane/toluene mixtures can in
general not be determined by simply interpolating
between ignition delays of pure fuel and pure toluene.</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusions</title>
      <p>Ignition delay times for toluene/n-heptane
mixtures (10/90% and 40/60% by volume) have been
determined in a heatable high-pressure shock tube
under engine-relevant conditions (p = 40 bar) for
various equivalence ratios = 0.5 and 1.0 over a
wide temperature range (700–1200 K). The results
were compared to ignition delay times of pure
toluene and n-heptane fuels under identical conditions.</p>
      <p>
        The detailed Lawrence Livermore PRF
mechanism, augmented by a toluene submechanism
by Andrae et al. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], was used in this study. The
comparison of simulated and measured ignition
delay times shows good agreement, although the
simulations systematically slightly overpredict the
measured ign for small toluene concentrations.
      </p>
      <p>Simulations and experiment agree that at 40
bar for small toluene concentrations (&lt;10% by
volume) the effect of toluene on the auto-ignition of
n-heptane is negligible. A stronger influence of
toluene is observed for seeding levels &gt;40% for T
&lt; 950K, while at temperatures above 1000 K, the
effect is much weaker.</p>
      <p>Global maps of ignition delay times have been
computed for the mixtures and help reducing the
number of required measurements for validating
and/or improving the mechanism by revealing the
temperatures and pressures where experimental
effort should be spent.</p>
      <p>As a result found in simulations and already
confirmed by experiments, the effect of toluene on
ignition delay is small (not more than ~20%
alteration of ignition delay compared to pure n-heptane),
tig/tig(purei)f the amount of toluene in the mixture does not
10 exceed 10% by volume. Therefore, for applications
2 with toluene as a tracer for laser-induced
fluores11..035 cence experiments (e.g. in engines) with low
con0.9 centrations, no significant alteration of the
autoignition behavior of n-heptane is expected near 40
bar. Future experiments and simulations will be
performed with Diesel fuels to investigate the
transferability from n-heptane to complex Diesel
fuels.</p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgements</title>
      <p>The authors like to thank N. Schlösser for
support in conducting the high-pressure shock-tube
experiments. Financial support by the DFG
(German Research Foundation) is gratefully
acknowledged. The authors are grateful to H. J. Curran, W.
J. Pitz, and C. K. Westbrook for making their PRF
reaction mechanism accessible online.</p>
    </sec>
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