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Effect of Diluents on the Autoignition of Propane Mixtures Using a Rapid Compression Machine Omid Samimi-Abianeh, Joshua A. Piehl, Antowan Zyada, Mustafa Al-Sadoon, and Luis Bravo Energy Fuels, Just Accepted Manuscript • DOI: 10.1021/acs.energyfuels.8b04100 • Publication Date (Web): 01 Mar 2019 Downloaded from http://pubs.acs.org on March 4, 2019
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Energy & Fuels
1
Effect of Diluents on the Autoignition of Propane Mixtures Using a Rapid Compression
2
Machine
3
O. Samimi-Abianeh1*, J. A. Piehl1, A. Zyada1, M. AL-Sadoon1, L. Bravo2 1 Mechanical
4
Engineering Department of Wayne State University, Detroit, Michigan 2 Army
5
Research Laboratory, Adelphi, Maryland
6
Abstract
7
The autoignition process of different propane mixtures was studied to determine how the diluent
8
choice (helium and argon/nitrogen) affects the ignition delay, the production of excited radicals
9
and the overall combustion process. An optically accessible rapid compression machine (RCM),
10
high speed camera, flame spectrometer, and numerical model were used to investigate the
11
combustion process. The ignition delay times were measured at a wide range of compressed gas
12
temperatures from 860 to 950 K, a compressed gas pressure of approximately 34 bar, and two
13
equivalence ratios of 1.0 and 1.5. Chemiluminescence at wavelengths of 309, 555, 590, and 623
14
nm from the decay of excited radicals were detected during the autoignition process, and their
15
respective intensities were measured and compared at various test conditions. A new kinetic model
16
was built by combining reaction rates of excited radicals and species from literature. The new
17
model was validated against the measured ignition delay data of the current work. The ignition
18
delay and some of the excited radicals show strong dependency on the diluent choice. A new
19
numerical model was used to include the effect of heat transfer and diluent choice in the
1*
Corresponding author,
[email protected] 1 ACS Paragon Plus Environment
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temperature calculation and ignition delay modeling and measurements. By using the new
21
numerical model, the measured ignition delays are not dependent on the diluent choice.
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Energy & Fuels
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Introduction
40
Propane combustion processes have been studied numerically and experimentally by many
41
researchers as briefly reviewed in [1]. Propane ignition delay measurements were conducted at
42
high gas temperatures using shock tubes [2-3, 5, 7-10, and 14], and at low to intermediate
43
temperatures using rapid compression machines (RCMs) [1, 3 and 6]. In addition, the oxidation
44
and time-resolved species concentrations were investigated using flow and jet stirred reactors [4,
45
11-13, and 15]. These experiments and corresponding test conditions have summarized in Table
46
1.
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Table 1. Summary of the propane experiments in the literature. Acronyms ST, RCM, FR and JSR
48
correspond to shock tube, rapid compression machine, flow reactor and jet stirred reactor,
49
respectively. Facility
Pressure
Temperature (K)
Equivalence ratio
Diluent
Reference
ST
6, 24, 60 atm
980 to 1400
0.5
argon
[2]
ST
2 to 15 atm
1200 to 1700
0.125 to 2.0
argon
[5]
ST
2 to 10 atm
1250 to 1600
0.125 to 2.0
argon
[7]
ST
1 to 18 bar
1200 to 1700
0.5 to 2.0
argon
[8]
ST
5 to 40 bar
> 850
0.5
argon, nitrogen
[9]
ST
1.3 to 5 atm
1073 to 2211
-
argon, nitrogen
[10]
ST
0.75 to 1.57 bar
1350 to 1800
0.5 to 2.0
argon
[14]
ST, RCM
10, 20, 30 atm
740 to 1550
0.3 to 3.0
argon, nitrogen
[3]
JSR
1 to 10 atm
900 to 1200
0.15 to 4.0
nitrogen
[12]
FR
1 to 6 bar
1000
0.05 to 25
nitrogen
[13]
FR
7 to 15 atm
785 to 935
0.4 and 0.6
nitrogen
[11]
FR
3.6 and 10 atm
850 and 900
0.3
nitrogen
[15]
FR
1 atm
850 to 1250
0.03 to 0.8
nitrogen
[4]
RCM
21, 27, 37 atm
680 to 970
0.5, 1.0, 2.0
Argon, nitrogen
[6]
RCM
21 and 30 bar
860 to 1050
0.5 to 1.2
Argon, nitrogen
[1]
50
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These experiments have provided a very detailed understanding of the autoignition characteristics
52
of propane at various combustion conditions. Furthermore, these experiments have assisted in the
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development of kinetic models, e.g., [3, 16], due to the integral role of propane kinetics in the
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reaction pathways used by heavier hydrocarbons. The most recent kinetic model was developed
55
by the NUI Galway combustion group and can mimic the ignition delay quite well [3].
56
The effect of the diluent mixture (especially argon, nitrogen and helium) on the ignition delay has
57
been rarely investigated. Würmel et al. [17] studied the effect of argon and nitrogen on the ignition
58
delay of 2,3-dimethylpentane. The study used a RCM and a shock tube to investigate the impact
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of the diluents on the ignition delay and concluded that the diluents had the opposite effect in the
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different environments. Within the RCM, a greater thermal conductivity of the diluent increases
61
the heat transfer from the hot gas to the combustion chamber wall. Hence, the ignition delay times
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were longer as autoignition occurred at lower temperatures and pressures. However, in shock
63
tubes, reactions occur in an adiabatic process and the higher heat capacity of the diatomic gas had
64
an opposite effect. Helium has a higher specific heat with respect to nitrogen and argon as shown
65
in Table 2. The higher specific heat of helium can be used to reduce the combustion pressure (the
66
maximum pressure due to the energy release of the fuel) within the test apparatus when compared
67
to the other two inert gases. The combustion pressure limits the initial gas pressure of the fuel
68
mixture as the pressure sensors are mostly limited to 200 to 300 bar pressure range. In addition,
69
the safety of the facility leads to the use of highly diluted test conditions for combustion
70
experiments (e.g., 90% nitrogen by volume in the mixture) to control the combustion pressure.
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Helium has a high thermal conductivity with respect to other insert gases as shown in Table 2;
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hence, the pressure and temperature decrease considerably during the ignition delay period within
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the RCM due to an increase in the heat transfer rate to the chamber wall. 4 ACS Paragon Plus Environment
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Energy & Fuels
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Table 2. Physical properties of the gasses at a temperature of 273 K and pressure of 1 bar. Data
75
are from NIST website. Species
ρ (kg/m3)
cp (J/(g k))
k (W/(m K)
α (m2/s)
He
0.176
5.193
0.1461
1.597×10-4
Ar
1.761
0.521
0.0163
1.776×10-5
N2
1.234
1.041
0.0240
1.868×10-5
C3H8
1.984
1.585
0.0156
4.960×10-6
O2
1.411
0.916
0.0244
1.887×10-5
76 77
To the best of the authors’ knowledge, this is the first investigation to provide a detailed
78
understanding of the effect of helium on the combustion characteristics within an RCM. The
79
ignition delay of propane fuel is studied using pure helium and a mixture of argon and nitrogen as
80
diluents. Nitrogen and argon are used quite commonly for combustion testing as demonstrated in
81
Table 1, and are used as the comparison for helium. Helium has promising characteristics for
82
combustion studies, such as: the reduction of the combustion pressure (due to its heat capacity),
83
and high specific heat ratio with respect to nitrogen (which means high compressed gas
84
temperature at the end of compression). The concentration of nitrogen with respect to argon in the
85
diluent mixture is small as shown in Table 3; hence, the mixture is referred to as the argon mixture
86
for simplicity. Nitrogen was added to the argon mixture to reduce the final compressed gas
87
temperature, so that a wide range of gas temperatures could be investigated. The effect of diluent
88
choice on the combustion process is investigated using a high speed camera and flame
89
spectrometer, as will be discussed in the latter part of the paper. The measured ignition delay shows
90
strong dependency on the diluent choice. A new numerical methodology was used to include the
91
effect of heat transfer or diluent choice in the temperature calculation and ignition delay modeling
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and measurements. By using the new numerical model, the measured ignition delays are
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independent of the diluent used. The experimental setup is described briefly in the next section. Table 3. Mixture compositions
94 Mix. number
Name
Φ
Partial pressure (bar) C3H8
O2
N2
AR
HE
1
Argon mix.
0.9919
0.01940
0.09773
0.11969
0.76316
-
2
Helium mix.
1.0033
0.01976
0.09840
-
-
0.88184
3
Helium mix.
1.5295
0.02966
009699
-
-
0.87334
4
Argon inert mix.
-
0.01940
-
0.21742
0.76316
-
5
Helium inert mix.
-
0.01940
-
0.09840
-
0.88184
95 96
Experimental setup
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A rapid compression machine is a device that simulates the compression stroke of a single piston
98
engine to study the autoignition process of a fuel in a controllable environment. The mixture of
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the fuel and oxidizer is compressed in a short time, e.g., 30 ms, to reach a high compressed gas
100
pressure and temperature. The Wayne State University Combustion Physics Laboratory’s (CPL)
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RCM is briefly described in our previous work [1] which can be referred to for more details about
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the instrument. A creviced piston is used in the RCM to minimize the flow vortices formed during
103
compression and is based on an optimized design of [28]. The desired compressed gas conditions
104
can be reached by changing the initial gas pressure, the initial gas temperature, and the
105
compression ratio of the RCM. For this work, a compression ratio of approximately 9.7 was used
106
while the wall temperature of the test chamber ranged from 297 to 327 K depending on the desired
107
compressed gas temperature.
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The test mixtures, as shown previously in Table 3, were made from ultra-pure and research grade
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gases and mixed in an external 5-gallon stainless steel vessel. The mixtures were prepared and left
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overnight before use, allowing for an average of 10 hours of homogeneous mixing to occur. The
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diluents (argon, helium, and nitrogen) consisted of approximately 88% of the mixture composition
112
in this work, as shown in Table 3. Argon (research plus grade with purity of 99.9999%), nitrogen
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(ultra-high purity, 99.999%), helium (research grade with purity of 99.9999%), oxygen (ultra-high
114
purity, 99.994%), and propane (research grade, 99.99%) were supplied by Airgas for this study.
115
The relevant physical properties of the gases are shown previously in Table 2. An Agilent vacuum
116
pump (DS 202) was used to empty the mixing vessel and RCM of residual gases. For this work, a
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pressure range of approximately 0.5 to 1 mbar was obtained to remove such residuals before
118
introducing the new mixture into the experimental apparatuses.
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A sapphire optical window, approximately 2-inch in diameter with a thickness of 0.75-inch, was
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placed at the end wall of the RCM to allow the entire test volume to be imaged using the high-
121
speed camera and flame spectrometer. A Phantom VEO 410 high-speed camera with a fast 50-mm
122
lens (f/0.95, Navitar) is used to record the ignition events in the test section by viewing along the
123
axis of the test section. The camera uses three filters (green, blue and red channels) and the working
124
wavelengths have been shown in appendix 2 of [1].
125
The chemiluminescence intensity of the excited radicals are collected using a collimating lens (84-
126
UV-25, Ocean Optics) with a working wavelength of 200 to 2000 nm. The collected
127
chemiluminescence is focused onto a premium optical fiber (a single leg fiber bundle, LG-455-
128
020-01, that contains a single column of 19 fibers, each 200 µm in diameter), after which the light
129
enters the spectrometer (IsoPlane 160, Princeton Instrument), passing through the slit (with an
130
opening width of 10 micron) and reaching the grating. The focusing mirror receives the light 7 ACS Paragon Plus Environment
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reflected from the grating and focuses the light onto the Electron-Multiplying Charge-Coupled
132
Device (EMCCD, ProEM-HS 1024BX3, Princeton Instrument), which converts the optical signal
133
to a digital signal. The electron multiplying (EM) system can multiply the received photons by
134
thousands (depending on the application and setting) to ensure the colliding photons are detectable
135
by the camera sensor. An EM gain range from 1 to 1000 was used at low and high temperatures to
136
detect the chemiluminescence produced by the excited radicals during autoignition. A grating
137
groove density of 150 gr/mm with a blaze wavelength of 300 nm was used in this work. The
138
spectrometer system (EMCCD, grating, lens, fiber) excluding the sapphire window was calibrated
139
together using the spectral calibration system (IntelliCal, Princeton Instrument). The spectrometer
140
wavelength calibration was performed using the mercury source of the aforementioned calibration
141
system. The slit width is 10 micron for all of the studied cases. The schematic of the setup is shown
142
in Fig. 1.
143 144
Fig. 1. Experimental setup of the RCM with the spectrometer
145
Data measurement and processing
146
Pressure-time data were measured using a piezoelectric pressure transducer (Kistler 6045A)
147
coupled with a charge amplifier (Kistler 5018) with a total relative uncertainty of 1.9%. Initial gas
148
pressures inside the RCM chamber and mixing vessel were measured using a static pressure
149
transducer (Omega PX409) with 0.7% relative uncertainty. Initial gas and wall temperatures were 8 ACS Paragon Plus Environment
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Energy & Fuels
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measured using several thermocouples (Omega KMQSS-125G-6) with 1.5 K absolute uncertainty.
151
The data acquisition system used National Instruments LabVIEW program to record the data. In
152
this work, the ignition delay time is defined as the time from the end of compression to the
153
maximum peak of pressure rise with respect to time (dp/dt) as shown in Fig. 2. This definition
154
imposes 5% relative uncertainty in the ignition delay time since autoignition could be defined
155
anywhere between the start of the pressure rise to the peak pressure after the pressure rise due to
156
combustion.
157 158
Fig. 2. Pressure and gradient of pressure history inside the RCM combustion chamber
159
The use of a creviced piston in this work mitigates the formation of vortices in front of the piston,
160
resulting in an adiabatic core of gas to be formed during compression as discussed by [28]. The
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gas temperature at the end of compression (i.e. the compressed gas temperature, Tc) is calculated
162
using the measured initial gas temperature, Ti, initial gas pressure, Pi, specific heat ratio of the
163
mixture, and the gas pressure at the end of compression (i.e. the compressed gas pressure, Pc) by
164
applying the isentropic compression equation:
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()
𝑙𝑛
𝑃𝑐 𝑃𝑖
=
∫
Page 10 of 34
𝑇𝑐
𝛾(𝑇) 𝑑𝑇 𝑇𝑖 𝛾(𝑇) ― 1 𝑇
(1)
166
The equation uses a variable specific heat ratio (γ) as a function of mixture composition and
167
temperature, and assumes the chemistry to be frozen during the compression stroke. Furthermore,
168
this equation assumes that the gas behaves like an ideal gas. This assumption was questioned as
169
the critical pressure and temperature of helium are 2.26 atm and 5.19° K, respectively. Helium is
170
at a supercritical condition and does not follow the ideal gas law at the studied compressed gas
171
pressure of approximately 34 bar. This further implies that its enthalpy and internal energy are a
172
function of both pressure and temperature at the studied conditions. However, the change of
173
helium’s enthalpy is less than 0.1% at pressure range of 1 to 40 bar and a fixed temperature of
174
1000 K. Therefore, it was concluded that Eq. 1 can still be applied to calculate the compressed gas
175
temperature. The total uncertainty of Eq. (1) due to the uncertainties of the pressure sensors and
176
thermocouples is estimated to be between 9 to 13 K.
177
The compressed gas pressure and temperature decrease due to the heat transfer from the hot gas
178
mixture to the combustion chamber wall during the ignition delay period, as shown in Fig. 2.
179
During this period, the mixture experiences various temperature and pressure conditions, which
180
are lower than the compressed gas pressure and temperature. There are several methodologies to
181
include heat transfer in simulations that can be used to evaluate and develop kinetic models using
182
RCM data as described in [1]. One method is to use the effective compressed gas pressure and
183
average compressed gas as discussed by [1] and [29]. In this model, the effective compressed
184
pressure, Peff, is calculated as the time-averaged pressure from the compressed gas pressure, Pc, to
185
the minimum gas pressure, Pmin, before the pressure rise resulting from combustion. The
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compressed gas pressure is replaced by effective compressed gas pressure in Eq. 1 to calculate the
187
average compressed gas temperature, Tavg:
( )
188
𝑙𝑛
𝑃𝑒𝑓𝑓 𝑃𝑖
=
∫
𝑇𝑎𝑣𝑔 𝑇𝑖
𝛾(𝑇) 𝑑𝑇 𝛾(𝑇) ― 1 𝑇
(2)
189
The calculated average gas temperature will be used in this work for kinetic model simulations to
190
account for the heat transfer. The calculated temperatures using the effective volume method [26]
191
and the average gas temperature method are within the acceptable uncertainty range since both
192
methods assume the compression and post-compression are isentropic processes. It should be
193
noted that these methods may not be valid for calculating the gas temperature during post-
194
compression when the ignition delay is long as shown by [27].
195
Kinetic model development
196
The kinetic model of [3] is used to simulate the autoignition of the propane mixture. This model
197
is the latest version of the Natural Gas III mechanism developed by the NUI Galway combustion
198
group and includes hydrocarbon species up to C5. The model does not include the excited radicals’
199
reactions. OH* and CH* reactions were added to the base mechanism of [3] to model the
200
concentrations of the excited radicals. Eleven OH* reactions from [18] and seventeen CH*
201
reactions from [18-19] were added to the base mechanism. In addition, six C2H reactions from [18
202
and 20] and GRI-Mech 3.0 were added to the base mechanism to develop the connection between
203
C2H species and CH*. While CH* has not been studied in this work, the connection between CH,
204
CH* and OH* by the reaction CH+O2CO+OH* mandated the inclusion of CH and CH* into
205
the kinetic model. The sub-mechanism of CH was also updated from the measured data in literature
206
[18, 23-25], GRI-Mech 3.0 and Aramco 2.0 mechanism [30]. Only two reactions were modified
207
and added based on the results of this study as shown in Table 4. The third body collider efficiency 11 ACS Paragon Plus Environment
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208
of helium was added to the first reaction in Table 4 based on the results of this work, as will be
209
discussed, since the helium and argon affect OH* very similarly. Due to the same reason, the
210
reaction OH* + He OH + He was added to the mechanism and its reaction rates are assumed
211
to be the same as the reaction rates of OH* + Ar OH + Ar as developed by [18]. These sub-
212
mechanisms (excluding the modification in Table 4) are also available in the Aramco 2.0
213
mechanism. However, the Aramco 2.0 mechanism made poor predictions with respect to the
214
measured ignition delay and onset of OH* production and was not used for modeling. The
215
comparisons between Aramco 2.0, mechanism model of [3], and measured data are shown in
216
Appendix 3. The new model was built by combining the base model of [3] with the supplementary
217
reaction pathways as explained. The final model was validated against the measured ignition delay
218
data produced in the current work, as discussed later in the paper. The final model is reported in
219
Appendix 2 of the paper.
220
Table 4. The modified and added OH* reaction rates in Arrhenius format. The final mechanism is
221
reported in Appendix 2. Reaction
Pre-exponential factor
Temperature coefficient
Activation energy
H + O + M OH* + M
1.500E+13
0.000E+00
5.975E+03
Third body collider efficiencies: H2 / 1.000 / H2O / 6.500 / O2 / 0.400 / N2 / 0.400 / AR / 0.350 / HE / 0.350 / Note: Helium third body collider efficiency (HE / 0.350 /) was added to the above reaction rates of [20] OH* + He OH + He
1.690E+12
0.000E+00
4.135E+03
Note: Above new reaction is based on OH*+ArOH+Ar with the same rate coefficient as developed by [18]
222 223
Chemkin-Pro software was used for ignition delay and gas temperature modeling. A closed
224
homogenous batch reactor model was utilized to simulate the ignition delays. The compressed and
225
average gas temperatures were calculated using the homogenous-charge compression-ignition
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Energy & Fuels
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(HCCI) engine model available in the software to perform the integration of Eqs. (1) and (2) using
227
the variable specific heat ratio of the mixture.
228
Results and Discussion
229
In this section, the pressure history of the two inert mixtures are discussed initially. Following that
230
discussion, the ignition delays of the reacting cases are determined. Next, the ignition delay and
231
excited radicals’ histories are discussed at various temperature and equivalence ratios. The section
232
is concluded by investigating the effect of temperature on OH* intensity. For easy identification
233
and comprehension, different colors are used to represent the different mixtures in the figures.
234
Gray is used for the helium mixtures, whereas black is used for the argon mixtures for most of the
235
pictures.
236
The pressure history of mixtures 4 and 5 of Table 3 are shown in Fig. 3. The two tests using the
237
two mixtures were performed at the same initial pressure and temperature. These two mixtures are
238
equivalent to mixtures 1 and 2 but were made inert by replacing the oxygen with nitrogen. This
239
does not impact the heat transfer as nitrogen and oxygen have a very similar thermal conductivity
240
and specific heat. This allows for the effect of the diluent on the heat transfer to be investigated
241
during the compression and post-compression periods. As shown in Fig. 3, the peak pressure of
242
the helium inert mixture is slightly lower than that of the argon inert mixture. Furthermore, the
243
pressure drop of the helium inert mixture is greater than that of the argon inert mixture. These
244
observations are due to the greater thermal diffusivity of the helium inert mixture compared to that
245
of the argon inert mixture. As shown in Table 2, the thermal diffusivity of helium is 10 times
246
greater than argon’s, which produces a more uniform temperature field inside the combustion
247
chamber. In addition, helium’s greater thermal diffusivity increases the rate of heat transfer to the
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248
wall. Hence, the energy within the combustion chamber dissipates more rapidly with the helium
249
mixture, resulting a lower peak pressure and greater pressure drop, as observed experimentally.
250 251
Fig. 3. Pressure histories of mixtures 4 and 5 of Table 3. The initial pressure and temperature are
252
approximately 1.44 bar and 289 K for both mixtures.
253
Shifting focus to the reacting cases, the ignition delay of mixtures 1 and 2 as a function of
254
compressed gas temperature at an equivalence ratio of 1 are shown in Fig. 4. The ignition delay of
255
the helium mixture is longer than that of the argon mixture at the same compressed gas
256
temperature. The longer ignition delay of the helium mixture is due to the greater drops in pressure
257
and temperature during post-compression, as previously discussed and shown in Fig. 3. In addition
258
to the ignition delay measurements, the onset of OH* measured by the flame-spectrometer is
259
shown in Fig. 4. The timings of OH* match well with the ignition delay defined by the peak
260
pressure rise with respect to time (i.e. max dp/dt).
261
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Fig. 4. Measured ignition delay and onset of OH* of argon mixture (mixture 1 of Table 3) and
264
helium mixture (mixture 2 of Table 3) at equivalence ratio of 1 as a function of compressed gas
265
temperature. The initial pressure is approximately 1.44 bar for both mixtures. The average
266
compressed gas pressure of argon and helium mixtures are 35.12 bar and 33.08 bar, respectively.
267
The lines are trend-lines of the measured data, which plotted using the same color as the measured
268
data point.
269
The detected onsets of autoignition using the camera, flame spectrometer and pressure sensor using
270
the helium mixture are shown in Fig 5. The onset of OH*, timing of the maximum pressure rise
271
with respect to time, and the onset of the full-circle blue light (when the blue light appears in the
272
entire chamber) using the high speed camera are matched excellently as shown in Fig. 5. The
273
camera and spectrometer results will be discussed in more detail later in the section.
274 275
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276 277
Fig. 5. Measured onsets of autoignition using various combustion diagnostic tools (camera, flame
278
spectrometer and pressure sensor) as a function of compressed gas temperature using the helium
279
mixture (mixture 2 of Table 3) at an equivalence ratio of 1. The initial pressure is approximately
280
1.44 bar and the average compressed gas pressure is 33.08 bar. The lines are trend-lines of the
281
measured data, which are plotted using the same color as their respective measured data points.
282
The ignition delays of the helium mixture at equivalence ratios of 1 and 1.5 are shown in Fig. 6.
283
The ignition delay of the mixture decreases by increasing the equivalence ratio. In addition, the
284
onset of OH* matches well with the timing of pressure rise for both equivalence ratios.
285
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286 287
Fig. 6. Measured ignition delay and onset of OH* at equivalence ratios of 1 and 1.5 as a function
288
of compressed gas temperature. Helium mixtures 2 and 3 are used in these tests. The initial pressure
289
is approximately 1.44 bar and 1.58 bar, with the average compressed gas pressures of 33.08 bar
290
and 34.97 bar for mixtures 2 and 3, respectively. The lines are trend-lines of the measured data,
291
which are plotted using the same color as their respective measured data points.
292 293
The measured ignition delay of the fuel using an RCM is a function of several parameters such as
294
fuel chemical structure, fuel and oxygen concentration, diluents used and machine geometry (e.g.,
295
piston shape). To eliminate the effect of the diluent choice on the ignition delay measurements and
296
reporting, the authors propose utilizing the average temperature (Eq. 2) as discussed in the previous
297
section. As shown in Fig. 7, the ignition delay of both mixtures of helium and argon (1 and 2 in
298
Table 3) match very well if reported as a function of average compressed gas temperature. Hence,
299
the average compressed gas temperature can be used instead of the compressed gas temperature
300
(defined by Eq. 1) to eliminate the effect of diluent on ignition delay measurement and reporting.
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301
Average compressed gas temperature includes the effect of heat transfer (which is a function of
302
the diluents) and can be used easily by kinetic model developers to validate their simulated data
303
without the knowledge of the diluent composition. The simulated ignition delays for the helium
304
and argon mixtures using the kinetic model are also shown in Fig. 7. The ignition delay predictions
305
matched the measured data very well; however, at lower average compressed gas temperatures the
306
modeled ignition delay slightly under predicted the measured data, and at higher gas temperatures
307
the modeled ignition delay slightly over predicted the measured data. The under prediction of the
308
ignition delay at low temperatures could be due to the inaccuracy of the isentropic assumption at
309
long ignition delay durations (e.g., 80 ms). For long ignition delays, the cold gas mixture near the
310
boundary layer and flow vortices have enough time to mix with the hot gas mixture at the core of
311
the chamber. Hence, the mixing ensures that the core gas temperature does not follow an isentropic
312
process. The over prediction of the ignition delay at high gas temperatures could be due to the
313
average temperature model or errors in the mechanism at high gas temperatures, which is out of
314
the scope of this paper. Measured gas temperatures are needed to develop a more comprehensive
315
gas temperature model which is not available at the time of writing this paper.
316
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Fig. 7. Measured and modeled ignition delay of the argon mixture (mixture 1 of Table 3) and the
318
helium mixture (mixture 2 of Table 3) at an equivalence ratio of 1 as a function of average
319
compressed gas temperature. The initial pressure is approximately 1.44 bar for both mixtures. The
320
average compressed gas pressures of the mixtures are 35.12 bar and 33.08 bar for argon and
321
helium, respectively. The average effective compressed gas pressures of the mixtures are 31.76
322
bar and 28.94 bar for argon and helium, respectively. The ignition delays were modeled using the
323
average gas temperature of the respective mixtures. The ignition delay modeling was performed
324
at a pressure of 30.3 bar. The maximum rate of pressure rise was used to determine the onset of
325
the modeled and measured ignition delays.
326 327
The measured and modeled pressure histories and the OH* concentration and intensity are shown
328
in Fig. 8. The uncertainty associated with measuring the timing of the OH* intensity is
329
approximately -1.5 ms and +0.5 ms. This uncertainty is due to the triggering mechanism, and
330
compression time calculation. The pressure rise and OH* concentration were simulated by using
331
the average temperature and effective pressure model. The measured onset of OH* intensity
332
matches very well with the timing of the measured pressure rise for all of the studied conditions,
333
as shown in the Fig. 8. The onset of the modeled concentration of OH* matches the modeled
334
pressure rise very well. Hence, the reaction model can accurately predict the OH* onset at various
335
gas temperatures. As discussed previously, the model under predicts the ignition delay at low gas
336
temperatures and over predicts the ignition delay at high gas temperatures. It is difficult to
337
determine if this behavior is due to the kinetic model or the temperature model in inefficiencies.
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338
339
340 341
Fig. 8. Measured and modeled pressure rises, OH* concentrations and intensities at several
342
compressed gas temperatures. The argon mixture (mixture 1 of Table 3) is at an equivalence ratio
343
of 1 for the measurements and modeling. The uncertainty in the measured timing of OH* intensity
344
is estimated to be between -1.5 ms and +0.5 ms. The pressure rise and OH* concentration were
345
simulated by using the average temperature and effective pressure model.
346
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The measured pressure rises and time-resolved intensity of various excited radicals for the
348
mixtures of argon and helium at the same equivalence ratio and similar compressed gas
349
temperature are shown in Figs. 9 to 12. There are several new findings and observations as follows:
350
-
Five excited radicals with a sharp intensity peak are detectable at wavelengths of
351
approximately 309 (OH*), 431 (CH*), 555, 590, and 623 nm. A bell shape intensity rise
352
between 290 nm to 550 nm is due to the continuum band emission of CO2*. This continuum
353
intensity is clearly visible for the helium mixture in Fig. 12. At lower temperatures, the bell
354
shape intensity is also visible for the argon mixture (not shown in the paper). This
355
continuum emission emits a visible blue light that was used to determine the ignition delay
356
reported previously as a full-circle blue light in the legend of Fig. 5. The onset of the blue
357
continuum occurs simultaneously as the onset of OH*, as shown in Fig. 12.
358
-
As shown in Fig. 10, there are three detectable excited radicals within the wavelength range
359
of 500 to 650 nm using the argon mixture. The excited radical at 590 nm is always
360
detectable for all of the studied temperatures using this mixture. The other two excited
361
radicals at 555 nm and 623 nm are detectable at compressed gas temperatures higher than
362
approximately 888 K. The presence of these two excited radicals at 555 and 623 nm occur
363
after the timing of the ignition delay, when high pressure combustion pressure occurs.
364
These wavelengths are especially prevalent when the pressure is higher than 100 bar. As
365
an example, by increasing the compressed gas temperature from 886 K to 930 K, the
366
combustion pressure increases from 100 bar to 175 bar as shown in Fig. 13 and the
367
intensities of these excited radicals increases significantly.
368 369
-
The intensity peak at 590 nm is not always detectable, especially at low gas temperatures using the helium mixture. The intensities at wavelengths of 555, 590, and 623 nm are 21 ACS Paragon Plus Environment
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370
significant when the argon mixture is used and is probably associated with the higher
371
combustion temperature and pressure. At higher compressed gas temperatures (e.g., a
372
compressed gas temperature of 942 K), the emitted intensity increases significantly for the
373
helium mixture as well due to the increase in combustion pressure and temperature.
374
-
emission.
375 376
-
The onset of OH* (309 nm) and the excited radical at 590 nm match very well with the timing of the pressure rise, as shown in Figs. 9 and 11.
377 378
The emissions at 555 nm and 623 nm disappear before the cessation of the 590 nm
-
As shown in Figs. 9 and 11, the combustion pressure (maximum pressure at time of the
379
ignition delay) is approximately two times higher for the argon mixture than the helium
380
mixture at a similar compressed gas temperature. For example, the combustion pressure
381
reaches about 160 bar using the argon mixture and 80 bar using the helium mixture. The
382
specific heat of argon is about 10 times smaller than helium; thus, with a fixed energy
383
release, the final combustion pressure and temperature will be higher using the argon
384
mixture.
385
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Energy & Fuels
386
Fig. 9. Pressure rise and chemiluminescence intensity from the decay of excited radicals at
387
wavelengths of 309 nm (OH*) and 590 nm versus time. The ignition delay is 17.28 ms. The argon
388
mixture (mixture 1 of Table 3) is used at an equivalence ratio of approximately 1. Initial pressure
389
and initial temperature are 1.44 bar and 318 K. Compressed gas pressure and compressed gas
390
temperature are 35.16 bar and 922 K. Effective compressed gas pressure and average compressed
391
gas temperature are 32.90 bar and 903 K. An exposure time of 0.05 ms and an EM gain of 10 are
392
used for the intensity measurements.
393
394 395
Fig. 10. Chemiluminescence intensity from the decay of excited radicals at various timings. The
396
non-dimensional timing in the picture (e.g., 0.91) is the measured timing from the end of
397
compression divided by the timing of the ignition delay. The ignition delay is 17.28 ms. An
398
exposure time of 0.05 ms and an EM gain of 10 are used for the intensity measurements. The test
399
conditions are approximately the same as those reported in Fig. 9.
400
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401 402
Fig. 11. Pressure rise and chemiluminescence intensity from the decay of excited radicals at
403
wavelengths of 309 nm (OH*) and 590 nm versus time. The ignition delay is 17.8 ms. The helium
404
mixture (mixture 2 of Table 3) is used at an equivalence ratio of approximately 1. Initial pressure
405
and initial temperature are 1.44 bar and 312 K. Compressed gas pressure and compressed gas
406
temperature are 32.98 bar and 932 K. Effective compressed pressure and average compressed gas
407
temperature are 30.11 bar and 902 K. An exposure time of 0.1 ms and an EM gain of 10 are used
408
for the intensity measurements.
409
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410
Fig. 12. Chemiluminescence intensity from the decay of excited radicals at various timings. The
411
non-dimensional timing in the picture (e.g., 0.89) is the measured timing from the end of
412
compression divided by the timing of the ignition delay. The ignition delay is 17.8 ms. An exposure
413
time of 0.1 ms and an EM gain of 10 are used for the intensity measurements. The test conditions
414
are approximately the same as those reported in Fig. 11.
415
416 417
Fig. 13. Pressure rises at three different compressed gas temperatures. The argon mixture (mixture
418
2 of Table 3) is used at an equivalence ratio of approximately 1.
419 420
The pressure histories and images of combustion progression for the helium mixture at an
421
equivalence ratio of 1 and at two compressed gas temperatures of 910 and 944 K are shown in
422
Figs. 14 and 15, respectively. As shown in Fig. 14, by increasing the compressed gas temperature,
423
the maximum combustion pressure increases from approximately 75 bar to 100 bar. High
424
frequency oscillating pressure waves at the time of combustion (at end the of the ignition delay
425
duration) were observed at the 100 bar combustion pressure for this mixture but were absent at the 25 ACS Paragon Plus Environment
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426
lower combustion pressure of 75 bar. All studied conditions using the argon mixtures exhibited
427
these oscillating pressure waves at the time of combustion. It is theorized that the origin of these
428
oscillating waves is due to autoignition of the trapped mass inside the crevice, as will be explained
429
shortly. As shown in Fig. 15A, the autoignition starts with a uniform blue light inside the chamber,
430
followed by a high-intensity white light and concluding with a blue light again. The high-speed
431
camera’s blue light wavelength response curve is between 350 to 550 nm, indicating that the blue
432
light corresponds to CO2* as discussed previously. The origin of the intense white light in Fig.
433
15A is not well understood, but it could be caused by the excited radicals emitted at 590 nm due
434
to its color, timing, and dependency on pressure and temperature at the time of combustion.
435
Autoignition at a higher compressed gas temperature is slightly different than at a lower
436
compressed gas temperature, as shown in Fig. 15B. At a higher compressed gas temperature,
437
autoignition starts with a blue light and develops into a white light (similar to the low temperature
438
autoignition). Next, very intense white light (saturating the camera chip) starts from the periphery
439
of the chamber until it fills the combustion chamber. Finally, combustion ends as the light fades
440
into a dim yellow light. The yellow light indicates the formation of soot [22]. As shown in the third
441
picture of Fig. 15B, the high intensity white light appears near the periphery of the chamber which
442
could be due to combustion of the trapped mass inside the crevice. It is hard to differentiate if it is
443
due to autoignition of the trapped mass inside the crevice or due to the autoignition of the trapped
444
mass which flows back into the chamber from the crevice during the autoignition. The gas pressure
445
after ignition is significantly higher (e.g., 100 bar as shown in Fig. 14) than the compressed gas
446
pressure (e.g., 34 bar as shown in Fig. 14); hence, the trapped mixture inside the crevice is at a
447
lower gas temperature (with respect to the compressed temperature of the core gas) which may
448
ignite and produce the pulsating waves inside the chamber at the time of combustion. The
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Energy & Fuels
449
autoignition of the trapped mass is the most likely reason for the chemiluminescence intensities
450
observed at 555 and 625 nm since there no excited radicals that emit photons at these wavelengths
451
and the high intensity white light occurs at the periphery of the chamber when the gas temperature
452
is lower, as shown in Fig. 15A. In addition, the onset of the emissions at 555 and 625 nm appear
453
after some delay with respect to the onset of the emission at 590 nm or the onset of the ignition
454
delay. This phenomenon will be studied in a future investigation using a flat piston without a
455
crevice to better understand the physics and origin of these emissions.
456 457
Fig. 14. The pressure rise at two compressed gas temperatures of 910 K and 944 K. The helium
458
mixture (mixture 2 of Table 3) is used at an equivalence ratio of approximately 1. The timings of
459
the images processed are highlighted by gray shadow. The combustion images are shown in Fig.
460
15.
461 462
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2
3
4
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5
6
7
463 464
A: (Timing/Ignition-delay): (1):0.963, (2):0.972, (3):0.993, (4):1.062, (5):1.107, (6):1.204,
465
(7):1.725 1
2
3
4
5
6
7
466 467
B: (Timing/Ignition-delay): (1):0.915, (2):0.923, (3):0.926, (4):0.932, (5):1.104, (6):1.263,
468
(7):2.311
469
Fig. 15. Combustion images at two compressed gas temperatures of A: 910 K and B: 944 K. The
470
helium mixture (mixture 2 of Table 3) is used at equivalence ratio of approximately 1. The pressure
471
rise of the two cases is shown in Fig. 14. Exposure time of 44 μs with a speed of 20,000 fps were
472
used for Fig. A, and exposure time of 17 μs with a speed of 57,000 fps were used for Fig. B.
473 474
Conclusions
475
The autoignition processes of propane fuel using two different diluents were studied using an
476
optically accessible rapid compression machine. The main objective of this research was to
477
understand how the diluent choice affects the ignition delay, excited radicals produced and the
478
combustion process using various combustion diagnostics tools and a numerical model. To
479
investigate the combustion process, a high speed camera, flame spectrometer, and kinetic model
480
were utilized. The ignition delay times were measured at wide range of compressed gas 28 ACS Paragon Plus Environment
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Energy & Fuels
481
temperatures, two equivalence ratios (approximately 1 and 1.5), and a compressed gas pressure of
482
approximately 34 bar. Two mixtures were utilized, one made of argon/nitrogen/propane/oxygen
483
and the other helium/propane/oxygen.
484
Ignition determined by the timing of the onset of full blue light (detected by the high-speed
485
camera), onset of OH* (detected by the flame spectrometer), and pressure rise (measured by the
486
pressure sensor) match very well at studied conditions. The chemiluminescence from the decay of
487
several excited radicals were measured at wavelengths of 309, 555, 590, and 623 nm during
488
autoignition. Their intensity was measured and compared at the various test conditions. The
489
chemiluminescence intensity of the excited radical at 309 nm (OH*) is a strong function of
490
equivalence ratio and compressed gas temperature, but it does not show dependency to diluent
491
choice. In contrast, the chemiluminescence intensity of the excited radicals produced at 555, 590,
492
and 623 nm show a strong dependency on combustion pressure, temperature and diluent choice.
493
The ignition delay shows a strong dependency on the diluent choice. The average compressed gas
494
temperature and effective compressed gas pressure model were used to include the effect of heat
495
transfer in modeling and reporting the ignition delay. The ignition delay shows independency of
496
the diluent choice when it is reported using the average compressed gas temperature and effective
497
compressed gas pressure.
498
The kinetic model under predicts the ignition delay at low gas temperatures (lower than 840 K).
499
The measured onset of OH* concentration occurs at the same timing as the pressure rise, which
500
was predicted very well by the kinetic model.
501
Conflicts of interest
502
There is no conflict of interest. 29 ACS Paragon Plus Environment
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503 504
Appendix
505
The measured ignition delay is reported in appendix 1. The mechanism and thermodynamic files
506
are reported in appendix 2. The comparisons between the two mechanisms of [3] and Aramco 2.0
507
[30] versus measured data are reported in Appendix 3.
508
Acknowledgment
509
Research was sponsored partially by the Army Research Laboratory and was accomplished under
510
Cooperative Agreement Number W911NF-18-2-0042. The views and conclusions contained in
511
this document are those of the authors and should not be interpreted as representing the official
512
policies, either expressed or implied, of the Army Research Laboratory or the U.S. Government.
513
The U.S. Government is authorized to reproduce and distribute reprints for Government purposes
514
notwithstanding any copyright notation herein.
515
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