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The effect of the hydrogen presence oncombustion-induced rapid phase transitionof CO/O2/N2 mixtures
Anna Basco a, Francesco Cammarota a, Almerinda Di Benedetto b,*,Valeria Di Sarli a, Ernesto Salzano a, Gennaro Russo b
a Istituto di Ricerche sulla Combustione, CNR, Via Diocleziano 328, 80124 Napoli, ItalybDipartimento di Ingegneria Chimica, dei Materiali e della Produzione Industriale, Universita degli Studi di Napoli
Federico II, Piazzale Tecchio 80, 80125 Napoli, Italy
a r t i c l e i n f o
Article history:
Received 18 July 2013
Received in revised form
27 September 2013
Accepted 3 October 2013
Available online 5 November 2013
Keywords:
Explosion
cRPT
Rapid phase transition
* Corresponding author. Tel.: þ39 (0) 8176822E-mail addresses: almerinda.dibenedetto
0360-3199/$ e see front matter Copyright ªhttp://dx.doi.org/10.1016/j.ijhydene.2013.10.0
a b s t r a c t
The explosion behavior of CO/O2/N2 mixtures was experimentally studied in a tubular
closed vessel at different oxygen contents, in the presence and in the absence of hydrogen.
We found that CO/O2/N2 mixture explosion does not exhibit cRPT whatever the oxygen
content thus demonstrating that this phenomenon is strictly connected to the water
produced by the combustion reaction. Conversely, the addition of even very small amounts
of hydrogen, triggers the cRPT phenomenon eventually leading to over-adiabatic peak
pressures. The obtained results confirm the key role of water in driving the cRPT
phenomenon.
In the presence of hydrogen (even small amounts), an intense explosion, the
combustion-induced Rapid Phase Transition (cRPT), was found. This highlights the key role
of water in driving the cRPT phenomenon.
Copyright ª 2013, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights
reserved.
1. Introduction Beside the clear environmental advantages of oxy-
The interest is growing in the development of an innovative
technology forpower generationnamed “oxy-fuel combustion”,
which uses highly oxygen-enriched air as the oxidizer. This
development is an important step towards zero-emission
combustion technology. In particular, the reduced content of
nitrogen in the oxidizer reduces the overall NOx emissions; the
higher reactivity of oxygen allows the use of fuel leanmixtures,
thus decreasing the flame temperature (i.e., lower equipment
cost and further decrease in NOx emissions); the stream of
exhaust gases containsmainly carbon dioxide andwater vapor,
thus favoring any subsequent CO2 sequestration process [1,2].
[email protected], [email protected], Hydrogen Energy P28
combustion, the use of highly O2-enriched air implies sub-
stantial cost penalty and potential corrosion concern [2].
These issues have forced process designers towards the
adoption of near stoichiometric conditions or even more
diluted mixtures in order to reduce the oxygen demand.
The use of oxygen-enriched air also poses severe safety
issues, as pure oxygen increases the laminar burning velocity
and enlarges the flammability range with respect to air [3].
These effects are even more dangerous in syngas oxy-
combustion because of the hydrogen presence, which makes
the mixture highly reactive, thus enhancing the explosion
risk.
nr.it (A. Di Benedetto).ublications, LLC. Published by Elsevier Ltd. All rights reserved.
Fig. 1 e Scheme of the experimental apparatus.
i n t e rn a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 6 4 6 3e1 6 4 7 016464
Explosion of methane/oxygen-enriched air mixtures in a
closed vessel shows anomalous behavior with oscillating
pressure histories both during and after the combustion re-
action and peak pressures much higher than the thermody-
namic values [4].
Similar results were found by Schildberg, H-P., Holtappels,
K., (2010) who studied the explosion behavior of CH4/O2/N2-
mixtures in a 20 l spherewith central ignition. They found that
at some conditions, pressure peaks higher than the thermo-
dynamic values were reached and also that before reaching
maximum combustion pressure, the pressure history was
oscillating [5].
We attributed the nature of this phenomenon to cycles of
condensation and vaporization of the water produced dur-
ing combustion. More specifically, the water condenses at
the vessel walls and, if superheated [6,7] by the radiative
heat transfer from the flame, starts to evaporate explo-
sively. This rapid phase transition of water produces shock
waves which lead to over-adiabatic pressure peaks. This
phenomenon was named “combustion-induced Rapid Phase
Transition” (cRPT) [4]. We investigated the role of the main
parameters and conditions on the occurrence and severity
of cRPT [4,8e11] that have been found to be dependent on
the quantity and nature of diluents (Ar, He, N2 and CO2) and
on the surface to volume ratio of the vessel. The cRPT
severity increases with this ratio. Furthermore, sprinkling
talc (i.e., providing nucleation sites) onto the vessel walls
prevented the cRPT phenomenon. Finally, when inhibiting
the water condensation by increasing the vessel wall tem-
perature above the water boiling point at the water partial
pressure in the burned gas, the cRPT phenomenon
disappears.
Holtappels and Pasman [12] also found a similar phenom-
enon that they considered as a kind of transition state be-
tween the deflagration mode and the detonation mode.
Indeed, the mechanism through which a deflagration transits
into a detonation remains one of the most interesting unre-
solved problems in combustion theory.
In this paper, we tested the explosion behavior of stoi-
chiometric CO/O2/N2 mixtures, by varying the oxygen
enrichment factor E ¼ O2/(O2 þ N2) from 0.21 (air) to 1 (pure
oxygen), in the presence and in the absence of hydrogen. The
Table 1eMolar fractions of reactants and products, adiabatic temperature and adiabatic pressure for the testedmixtures ascalculated at equilibrium conditions by GASEQ code.
E Reactants Tad, K Pad, bar Products
YCO YO2 YN2 YN2 YCO2 YCO YO2 YNO
0.21 0.296 0.148 0.556 2699.6 7.92 0.627 0.276 0.061 0.024 0.010
0.60 0.545 0.273 0.182 3201.8 9.03 0.204 0.387 0.257 0.106 0.023
0.80 0.615 0.308 0.077 3292.1 9.23 0.083 0.413 0.319 0.134 0.018
1.00 0.667 0.333 0.000 3360.0 9.40 e 0.428 0.371 0.157 e
i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 6 4 6 3e1 6 4 7 0 16465
main aim was at demonstrating the key role of water pro-
duced by combustion (of H2) in driving the cRPT phenomenon.
2. Experimental
The experimental apparatus used in this work is schematized
in Fig. 1. The system is composed by two sections, a mixer for
the preparation of the reactive mixture and a reactor for the
explosion tests.
The mixer consists of a 5 dm3 cylindrical vessel and in-
cludes a magnetic-driven stirring system. The reactor is a
cylindrical AISI316SS stainless-steel tubular vessel (wall
thickness ¼ 2.5 cm). The diameter is 6 cm and the vertical
length is 120 cm. The reactor is equipped with rupture disk
(the maximum allowable operating pressure is 200 bar). For
pressure recording, which is the core measurement for the
experiments reported in this paper, a Kulite ETS-IA-375 (M)
series pressure transducer with a natural frequency of 150 kHz
was used. These transducers are specifically designed for
high-pressure, high- shock environments and blast analysis.
The electrical power for the transducer was supplied by
means of a chemical battery 12 VDC/7 AH in order tominimize
any disturbance on the output current, whichwas recorded by
means of a National Instrument USB- 6251 data acquisition
system (16 bit, 1.25 � 106 samples/s), with a frequency up to
1.0 MHz. No manipulations were performed on the analogical
signal output from the transducer or the digital data recorded.
Table 2e Composition of the reactivemixture, adiabatic temperconversion for the tested mixtures as calculated at equilibrium
E l Reagent mixture
YCO YH2 YO2 YN2
0.21 0.010 29.3 0.3 14.8 55.6
0.21 0.101 26.6 3.0 14.8 55.6
0.30 0.011 37.1 0.4 18.8 43.8
0.30 0.040 36.0 1.5 18.8 43.8
0.35 0.010 40.8 0.4 20.6 38.2
0.40 0.009 44.0 0.4 22.2 33.3
0.40 0.040 42.7 1.8 22.2 33.3
0.45 0.011 46.9 0.5 23.7 28.9
0.45 0.040 45.5 1.9 23.7 28.9
0.50 0.010 49.5 0.5 25.0 25.0
0.55 0.010 51.9 0.5 26.2 21.4
0.60 0.009 54.0 0.5 27.3 18.2
0.60 0.101 49.1 5.5 27.3 18.2
0.80 0.010 60.9 0.6 30.8 7.7
0.80 0.020 60.3 1.2 30.8 7.7
1.00 0.010 66.0 0.7 33.3 0.0
Thedatawerefiltered throughanon-linearalgorithmbased
on SavitzkyeGolay (SG) method [13] which utilizes an array of
weighted coefficients as a smoothing function to convolute m
uniformly spaced neighboring points. In the following, we set
m ¼ 21 which is a typical value adopted in explosion science.
The mixtures tested in this work were obtained by the
partial pressure methodology. Each mixture was sent to the
tubular reactor and ignited by a single spark [8 kV direct cur-
rent (DC)] through two electrodes positioned at the bottom of
the equipment (spark gap ¼ 1 mm). To this aim, an RC circuit
(Capacitor ¼ 590 pF; Current Intensity ¼ 5 mA) was used with
PC-based reed relays as high-voltage switches. The estimated
energy was 20 mJ.
Tables 1 and 2 give the compositions of the mixtures
investigated for different oxygen-air enrichment factors, E, in
the absence of hydrogen (Table 1) and in the presence of
hydrogen (Table 2). E was defined as follows:
E ¼ O2
O2 þN2(1)
The enrichment factor l (Table 2) was defined according to:
l ¼ H2
H2 þ CO(2)
In the same tables, for all mixtures, the maximum theo-
retical values of pressure (Pad) and temperature (Tad), as
computed by the Gaseq Chemical Equilibrium Program [14] at
adiabatic conditions and constant volume, and the
ature, adiabatic pressure, partial pressure of water and fuelconditions by GASEQ code.
Tad, K Pad, bar PH2O, bar XCO XH2
2696.8 7.91 0.0199 70.9 99.7
2691.6 7.89 0.2397 73.6 97.0
2904 8.38 0.0232 63.2 99.6
2900.1 8.37 0.1089 64.3 98.5
2980.6 8.55 0.0211 59.5 99.6
3040.4 8.68 0.0193 56.3 99.6
3035.3 8.67 0.1243 57.6 98.2
3089.3 8.79 0.0240 53.5 99.5
3083.8 8.77 0.1279 54.9 98.1
3129.8 8.87 0.0224 50.9 99.5
3165 8.95 0.0211 48.5 99.5
3194.8 9.01 0.0199 46.4 99.5
3185 8.98 0.4094 51.3 94.6
3284.3 9.21 0.0216 39.5 99.4
3280.5 9.20 0.0576 40.1 98.9
3351.2 9.37 0.0234 34.5 99.3
Fig. 2 e Pressure time histories as obtained during explosions of CO/O2/N2 mixtures with oxygen-air enrichment factor
varying from E [ 0.21 (air) to E [ 1 (pure oxygen). The dotted line (- - -) represents the adiabatic pressure.
i n t e rn a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 6 4 6 3e1 6 4 7 016466
corresponding molar compositions of gas products are also
reported. Finally, Table 2 gives the partial pressure of the
water produced by the combustion reaction ðPH2OÞ as calcu-
lated at equilibrium conditions. It is worth noting that the
water vapor pressure ðP0H2O
Þ at the wall temperature
(Twall ¼ 283 K) is equal to 0.022 bar.
Each composition was tested at least 3 times (great repro-
ducibility was found). For all tests, the initial pressure was set
to 1 bar. The temperature of the vessel walls was equal to the
ambient temperature (293 K).
3. Results
3.1. Explosion of CO/O2/N2 mixtures: effect of oxygen-air enrichment factor
In Fig. 2, the pressure time histories are shown as obtained
during explosions of CO/O2/N2 mixtures with oxygen-air
enrichment factor varying from E ¼ 0.21 (air) to E ¼ 1 (pure
oxygen). The plots are similar to typical pressure histories
registered during closed vessel explosions, with deviation
between maximum pressure and adiabatic pressure (i.e.,
maximum theoretical pressure), and pressure decay due to
heat losses towards the external environment. The increase of
E does not lead to a significant increase inmaximumpressure.
On the other hand, the rate of pressure rise (i.e., the mixture
reactivity) increases with increasing E.
3.2. Effect of H2 addition
Fig. 3 shows the pressure time histories as obtained during
explosions of CO/H2/O2/N2 mixtures with different values of E
and l. In the presence of hydrogen, the pressure trends are
qualitatively different from those shown in Fig. 2. Indeed, the
pressure histories exhibit a peak which over-takes the adia-
batic value. This peak characterizes the above cited phe-
nomenon of cRPT.
3.3. Discussion
Table 3, reports the values of the maximum rate of pressure
rise, (dP/dt)max, in the absence and presence of H2 in the
reactive mixture. The rate of pressure rise increases with the
oxygen (i.e., E factor) and hydrogen (i.e., l factor) contents
(Fig. 4).
The results of our tests show that the presence of H2 also
induces intense pressure peaks due to the occurrence of cRPT.
In Table 3, the occurrence and intensity (peak pressure) of the
cRPT phenomenon is reported, together with the partial
pressure of water in the given explosion conditions and the
equilibrium data (adiabatic pressure and adiabatic tempera-
ture) for all mixtures investigated.
A first observation is that, as l increases, the partial pres-
sure of water in the gaseous products increases and the
explosive phenomenon becomes more severe. Furthermore,
even in the presence of small amounts of hydrogen, the cRPT
Fig. 3 e Pressure time histories as obtained during explosions of CO/H2/O2/N2 mixtures with different values of E and l. The
dotted line (- - -) represents the adiabatic pressure.
i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 6 4 6 3e1 6 4 7 0 16467
phenomenon is observed. That agrees with our explanation of
cRPT, which considers the partial pressure of water as the
main parameter for the occurrence of the over-adiabatic
spike. Indeed, following our analysis, for l ¼ 0.01, the value
of the water partial pressure in the gaseous product ðPH2OÞ isgreater or about equal to the value of water vapor pressure
ðP0H2OÞ at the wall temperature (Twall ¼ 283e293 K;
P0H2O¼ 0.012e0.022 bar) and, thus, cRPT may occur.
As shown in our previous paper [4], the occurrence and
severityof thecRPTphenomenoncanalsobeexplained through
an analysis of three characteristic times: sreac, scond and srad.
sreac is the characteristic time required by the flame to
travel along the radial direction of the vessel.
sreac ¼ d2SF (3)
where d is the reactor diameter and SF the flame speed
calculated as a function of the laminar burning velocity, Sl,
and the expansion factor (i.e., the adiabatic pressure, Pad, to
initial pressure, Po, ratio):
SF ¼ Sl$
�Pad
Po
�(4)
In Eq. (4), the expansion factor was evaluated assuming all
gas as burned and at the maximum theoretical pressure (Pad).
scond is the characteristic time for water cooling and
condensation at the vessel walls and is defined as:
scond ¼ rcpV
hcA(5)
where r and cp are the density and the specific heat of the gas
mixture; V is the vessel volume andA is the surface of the side
walls of the vessel computed as A ¼ p D L (with D the tube
diameter and L the tube length); hc is the coefficient of heat
transfer due to condensation at the walls evaluated according
to the formula reported by Incropera and DeWitt [15].
srad is the characteristic time for heat exchange between
flame and walls by radiation and was computed through the
following formula:
srad ¼ rcpVðTF � TwÞs 3AR
�T4F � T4
w
� (6)
where TF is the flame temperature (adiabatic temperature), s
the StefaneBoltzmann constant, 3the emissivity and AR the
surface area enclosing the radiating gas volume (assumed as
equal to A).
In Table 4, the values of the characteristic times, the ratio
between the condensation time and the reaction time
(q1 ¼ scond/sreac) and the ratio between the condensation time
and the radiation time (q2 ¼ scond/srad) are also given.
According to our previous results [4,10], when the over-
adiabatic behavior occurs, q1 is higher than 1. On the con-
trary, at under-adiabatic conditions, q1 is lower than 1.
Therefore, q1 ¼ 1 can be viewed as a bifurcation point. This
result confirms the role of the synchronization between the
reaction phase and the water condensation phase in driving
the cRPT phenomenon.
Fig. 5 shows themap of the cRPT phenomenon in the plane
oxygen enrichment factor (E)-hydrogen content (l). The white
Table 3 e Adiabatic Temperature, Tad, Adiabatic Pressure, Pad, Rate of Pressure Rise in the early stage of reaction, dP/dt,Maximum Rate of Pressure Rise for cRPT, dP/dtcRPT, Partial Pressure of Water, PH2O, Peak Pressure of cRPT, PcRPT, for allcompositions analyzed.
E l Tad (K) Pad (bar) dP/dt (bar s�1) dP/dtcRPT (bar s�1) PH2O (bar) PcRPT (bar)
0.21 0 2699.6 7.92 24.5 e e
0.60 0 3201.8 9.03 88.1 e e
0.80 0 3292.1 9.23 81.2 e e
1.00 0 3360.0 9.40 92.1 e e
0.21 0.010 2696.8 7.91 53.3 0.0199 e
0.21 0.101 2691.6 7.89 206.6 2998.7 0.2397 7.1
0.30 0.011 2904 8.38 105.4 2798.4 0.0232 7.5
0.30 0.040 2900.1 8.37 175.1 1610.8 0.1089 6.6
0.35 0.010 2980.6 8.55 151.9 3323.0 0.0211 8.4
0.40 0.009 3040.4 8.68 192.5 3398.4 0.0193 8.0
0.40 0.040 3035.3 8.67 297.0 3382.8 0.1243 9.3
0.45 0.011 3089.3 8.79 224.1 1801.0 0.0240 7.0
0.45 0.040 3083.8 8.77 399.1 21,668.7 0.1279 38.8
0.50 0.010 3129.8 8.87 330.4 2169.9 0.0224 7.3
0.55 0.010 3165 8.95 322.6 1596.5 0.0211 7.7
0.60 0.009 3194.8 9.01 413.2 1893.4 0.0199 8.3
0.60 0.101 3185 8.98 2305.8 44,509.3 0.4094 337.8
0.80 0.010 3284.3 9.21 433.2 5335.2 0.0216 15.4
0.80 0.020 3280.5 9.20 3961.0 41,817.2 0.0576 184.5
1.00 0.010 3351.2 9.37 868.0 39,749.8 0.0234 20.2
Table 4 e Characteristic time of reaction, sreac,characteristic time of condensation, scond, characteristictime of flame radiation, srad, and dimensionlessparameters q1 and q2 for all compositions analyzed.
i n t e rn a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 6 4 6 3e1 6 4 7 016468
zone of the map, characterized by l < 0.01, was not investi-
gated because of experimental limits in obtaining the mix-
tures. The circle size is proportional to the maximum rate of
pressure rise for cRPT.
Three zonesmay be distinguished: zone 1ewhere no cRPT
is found; zone 2 e where cRPT is found with peak pressure
lower than the adiabatic value; zone 3 e where cRPT is found
with over-adiabatic peak pressures. In Fig. 5, the dark line
represents the limit between zones 2 and 3 and corresponds to
the line q1 ¼ 1. It is worth noting that, for E higher than 0.4, the
passage from zone 1 to zones 2 and 3 occurs with increasing
hydrogen content. It is also worth noting that a limit value of
hydrogen content (l ¼ 0.01) is required for driving the cRPT
phenomenon, whatever the oxygen-air enrichment factor.
In zones 2 and 3, as E and l increase, the severity of the
cRPT phenomenon (and, thus, the circle size) increases and
larger q1 values are found.
Fig. 4 e Rateofpressure rise versusE for different valuesof l.
Fig. 6 shows the same map in the plane adiabatic tempera-
ture (Tad)-water partial pressure ðPH2OÞ. If PH2O is lower than the
water vapor pressure at thewall temperature, no cRPT is found
(zone 1). Furthermore, if PH2O is higher than the P0H2Ovalue at
Twall, thecRPTphenomenonoccursand themaximumpressure
can be under-adiabatic (zone 2) or over-adiabatic (zone 3).
From this map, the role of the adiabatic temperature in trig-
gering cRPT is also found. At a fixed value of the water partial
pressure, the passage from zone 1 to zones 2 and 3 occurs with
increasing adiabatic temperature. As discussed in our previous
papers [4,10], as the adiabatic temperature increases, the
E l sreac (s) scond (s) srad (s) q1 q2 Notes
0.21 0 e e e e e NO cRPT
0.60 0 e e e e e NO cRPT
0.80 0 e e e e e NO cRPT
1.00 0 e e e e e NO cRPT
0.21 0.010 0.0180 0.0044 0.0032 0.25 1.38 NO cRPT
0.21 0.101 0.0076 0.0060 0.0191 0.78 0.31 under-adiabatic
0.30 0.011 0.0110 0.0047 0.0028 0.43 1.70 under-adiabatic
0.30 0.040 0.0066 0.0058 0.0100 0.88 0.58 under-adiabatic
0.35 0.010 0.0096 0.0045 0.0020 0.47 2.29 under-adiabatic
0.40 0.009 0.0086 0.0044 0.0015 0.51 3.00 under-adiabatic
0.40 0.040 0.0048 0.0059 0.0085 1.24 0.69 over-adiabatic
0.45 0.011 0.0072 0.0047 0.0019 0.66 2.52 under-adiabatic
0.45 0.040 0.0043 0.0058 0.0071 1.37 0.82 over-adiabatic
0.50 0.010 0.0067 0.0046 0.0015 0.69 3.05 under-adiabatic
0.55 0.010 0.0063 0.0045 0.0012 0.71 3.66 under-adiabatic
0.60 0.009 0.0061 0.0044 0.0010 0.73 4.32 under-adiabatic
0.60 0.101 0.0023 0.0060 0.0083 2.67 0.73 over-adiabatic
0.80 0.010 0.0049 0.0046 0.0009 0.94 4.95 over-adiabatic
0.80 0.020 0.0037 0.0055 0.0027 1.50 2.05 over-adiabatic
1.00 0.010 0.0041 0.0047 0.0009 1.13 5.38 over-adiabatic
Fig. 5 e Occurrence and severity of cRPT in Eel plane.Fig. 7 e Characteristic time ratio q2 versus Tad for under and
over-adiabatic behavior of cRPT.
i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n en e r g y 3 8 ( 2 0 1 3 ) 1 6 4 6 3e1 6 4 7 0 16469
heating of the condensed water (by radiation) becomes faster,
eventually synchronizing with the water condensation.
In Fig. 7, q2 is plotted as a function of the adiabatic tem-
perature, Tad. Two main trends are identified: a low temper-
ature zone and a high temperature zone. The low temperature
zone corresponds to zone 2 of Fig. 6, while the high temper-
ature zone corresponds to zone 3. Three states are identified.
The first state (State 1) lies at low temperature. In this case,
only the under-adiabatic cRPT behavior is possible. In the
second state (State 2), both the under and over-adiabatic cRPT
phenomena are possible. In this case, at the same flame
temperature, the cRPT is over-adiabatic when q2 is lower or
close to 1, suggesting that the peak pressure overcomes the
adiabatic values only if a strong synchronization between
condensation and evaporation is established. At very high
temperature (T > 3200 K, State 3), only over-adiabatic cRPT is
possible. In this case, the heating rate of the condensed water
is very fast, thus driving the explosive boiling.
4. Conclusions
Theexplosionbehavior of CO/O2/N2mixtureswas investigated
in a tubular closed vessel by varying the oxygen content, in the
Fig. 6 e Occurrence and severity of cRPT in TadePH2O plane.
presenceandabsenceofhydrogen. In theabsenceofhydrogen,
regardless of the oxygen content, no cRPT was observed, thus
further demonstrating that this phenomenon is strictly con-
nected to the water produced by the combustion reaction. On
the contrary, when adding even very small amounts of
hydrogen, the cRPTphenomenon is excited and over-adiabatic
peak pressures are reached. The obtained results confirm the
key role of water in driving the cRPT phenomenon.
In the next future a model for the simulation of the
coupling between the flame propagation and the heat
condensation and rapid phase transition will be developed.
Acknowledgments
The authors gratefully acknowledge the financial funding
provided by MiSE (Ministero per lo Sviluppo Economico)
within the framework of the project “Carbone pulito”.
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