Closed Vessel Test Influence of the Ignition Method on the Combustion Rate
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Transcript of Closed Vessel Test Influence of the Ignition Method on the Combustion Rate
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CLOSED VESSEL TEST: INFLUENCE OF THE IGNITION METHOD ON THE
COMBUSTION RATE.
Laurence Jeunieau1, Michel H. Lefebvre1,Alexandre Papy2, Marc C. Pirlot2,
Pierre Guillaume3, Christiane Reynaud4
1Laboratory for Energetic Materials, Royal Military Academy
Av. de la Renaissance 30, 1000 Brussels, Belgium
Fax: +32(0)2 7376352
E-mail: [email protected]
2Department of Weapon Systems and Ballistics, Royal Military Academy
3PB Clermont s.a.
Rue de Clermont 176, 4480 Engis/ Belgium.
4Centre de Recherches du Bouchet, SNPE,
Rue Lavoisier 9, 91710 Vert-le-Petit/ France
AbstractA method of homogeneous ignition of deterred spherical particles has been
proposed. The ignition mixture 0.05 MPa CH4-0.075 MPa O2 permits to
discriminate the combustion properties of the two parts of the particles. This
ignition method does not introduce additional influence on the combustion rate
compared to the classical ignition by black powder.
1. IntroductionThe ballistic performance guns can be improved by the use of less
degressive burning propellants. For this purpose, deterred propellants can be
used especially in small arms. In deterred propellants, the concentration of
deterrent in the surface layer is larger than that in the core of the propellant
particles.
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In ballistic models, factors characterising the burning rate of the propellant
must be introduced. These factors are usually obtained in closed vessel
experiments. These ones must be different for the two parts of the propellant
particles. No difference between them can be observed if black powder is used
as ignition system. The aim of this work is to investigate closed vessel tests,
which permit to see clearly the difference between the two parts of the particles.
For this purpose, an homogeneous ignition system is required. This study
focuses on the influence of the ignition phase on the final experimental output
(i.e. burning rate) of these tests. In order to have a homogeneous ignition of the
propellant particles, gaseous ignition systems are investigated.
These ignition systems are not comparable to the ones used in the actual
combustion chamber of guns where ignition is done either by hot particles or by
hot gases. In fact, the ballistic properties depend on the igniter [1]. Therefore,
ballistic models must take into account the nature of the igniter and the more or
less homogeneous ignition of the propellant.
For this purpose, the following scheme of investigation is followed in this
paper.
- Different ignition mixtures of methane and oxygen are investigated. These
ignition systems are compared with the commonly used ignition by blackpowder.
- The possible influence of the ignition system on the combustion rate is
investigated. At this state, an ignition system is selected.
- This ignition system is tested on propellants with different penetration depths
of the deterrent to confirm that the two combustion processes correspond to
the two chemical formulations of the particles.
2. Experimental
Propellants used
The different ignition systems have been tested on a spherical deterred
propellant with an average diameter of 0.77mm. The selected ignition system
has been tested on different spherical propellants with different types of coating.
The characteristics of these propellants are shown in Table 1 (the percentage in
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weight of deterrent in the particle is given). For propellants A and B all the
dibutylphthalate is in the deterred portion of the particles. For the propellants C
and D, some of the dibutylphthalate is in the inner part of the particle.
Diameter (mm) % dibutylphthalate inthe powder
% dibutylphthalate inthe inner part
Propellant APropellant BPropellant CPropellant D
1.001.011.020.96
7%7.4%8.5%7.9%
--2%1.8%
Table 1: Characteristics of the different investigated propellants.
Ignition system usedThe compositions of the different ignition systems are shown in Table 2.
The gaseous ignition systems are characterized by their partial pressures.
Composition
IgniterIIgniterIIIgniterIIIIgniterIVIgniterVIgniterVI
0.1 MPa CH4-0.2 MPa O20.1 MPa CH4-0.14 MPa O20.05 MPa CH4-0.075 MPa O20.1 MPa CH4-0.1 MPa O20.05 MPa CH4-0.05 MPa O2Black powder (loading density: 0.007g/cm3)
Table 2: Characteristics of the different investigated ignition systems.
Closed vessel experimentsClosed vessel experiments were carried out in a vessel of 140cm3 using a
piezo-electric pressure transducer (Kistler 6201B4) to record the pressure. The
output voltage of the pressure gauge was transferred to a data acquisition
system (Nicolet Multipro, resolution 12 bit, sampling frequency 250KHz). The
propellant loading density is 0.20g/cm3. The ignition system consists of two
electrodes, which are connected with a nickeline hot wire, and a valve to
introduce a CH4/O2 ignition mixture. The partial pressures of these mixtures are
measured with a piezo-electric pressure transducer (Kistler 4070). When black
powder is used as ignition method, 1g of powder is used. The combustion rate
is calculated according to Stanag 4115 [2].
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3. Results
3.1 Preliminary observations
Figure 1 shows different combustion rates obtained with ignition by
different gas mixtures and with black powder. Three types of combustion rate
vs. pressure have been observed.
(1) The largest combustion rate is obtained when using igniter I. In this case,
important oscillations of the pressure are noticed.
(2) For the igniters II and III, intermediate combustion rates are obtained.
(3) When less energetic ignition mixtures are used (igniters IV and V)
combustion rates similar to the one obtained with the black powder are
observed.
The important oscillations of the pressure which are noticed for the
igniters I and II may be due to shock waves stemming from the detonating gas
mixtures.
0
5
10
15
20
25
30
35
0 50 100 150 200Pressure (MPa)
Combustionrate(cm/s
).
(I) (II)
(III)
(V)(VI)
(IV)
Figure 1: Combustion rate of the deterred propellant obtained with different ignitionsystems. (I) IgniterI , (II) IgniterII, (III) IgniterIII, (IV) IgniterIV, (V) IgniterV and (VI)
IgniterVI .
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Figure 2 shows some of the pressure derivative vs. time. The pressure
derivative permits to distinguish clearly two phases in the combustion process
when igniterI, II orIII is used as ignition system. In fact, two different positive
slopes can be observed in the pressure derivative vs. time. In the other cases,
the variation of the derivative vs. time is more regular and the combustion
process can no more be divided in two parts. The lack of discontinuity could
stem from the inhomogeneous ignition of the propellant by the black powder.
When ignition is inhomogeneous, the deterred layers of all the particles do not
burn simultaneously. When one particle has its deterred layer burnt and
therefore its combustion rate increased the other particles may have their
deterred layer not completely burnt. Thus the observed combustion rate is
more or less a smooth average of the overall combustion rate.
0
20
40
60
80
100
120
140
160
180
200
-5 -4 -3 -2 -1 0 1 2 3 4time (ms)
dP/dt(MPa/ms)
(I)
(III)
0
20
40
60
80
100
120
140
160
180
200
-5 -4 -3 -2 -1 0 1 2 3 4time (ms)
dP/dt(MPa/ms)
Figure 2: Derivative of the pressure vs. time for different ignition systems.1 (I) IgniterI, (III) IgniterIII. 2 Igniter VI.
The fact that the observed discontinuity in the derivative curve
corresponds to the burning of the deterred layer has to be confirmed. If it does,
the thickness of this layer can be calculated. This will be a first test to check
whether the discontinuity corresponds to the end of the combustion of the
deterred layer. If this is the case, the obtained thickness of the deterred layer
should be the same for different loading densities and for different ignition
1 2
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systems. To obtain the burnt thickness, the discontinuity in the derivative curve
is associated with a time and from these with a pressure. From the pressure,
the burnt mass fraction (zbreak) can be calculated using equation (1) where , ,
Pmax, Pmin, Pbreak, are the loading density, the propellant density, the maximum
experimental pressure, the pressure resulting from the igniting gaseous mixture,
the pressure corresponding to the discontinuity in the derivative curve and the
covolume, respectively.
min
minmaxbreakbreak
minmax
break
min
break
max
break
minmax
break
P
P1
PPP1PP
11
P
P1
P
P1
P
1PP
11
z
!+"#"+
!#
$
#
!#$#
!+"#"+
!#
$
#
!#
$=
K
K
(1)
This equation permits to take into account the pressure coming from the ignition
system (Pmin). As this pressure is not identical for all the ignition systems, it has
to be taken into account in order to obtain comparable results. As the burnt
mass fraction is defined by equation (2) where V is the propellant volume and
V0 its initial value, the thickness of the deterred layer can be easily calculatedfrom the propellant volume. The obtained values are given in Table 2.
0V
V1z != (2)
Igniter Loading density (g/cm3) Thickness of the deterred layer (mm)
IgniterI 0.10.150.200.25
0.0420.0480.0490.046
IgniterII 0.20 0.047IgniterIII 0.10
0.150.20
0.0440.0410.041
Table 2: Thickness of the deterred layer for different ignition systems and for differentloading densities.
These different values show that the discontinuities in the derivative curves are
related neither to the ignition composition nor to the initial pressure.
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At this stage, it must be checked that the ignition system does not
influence the combustion rate of the propellant. For this purpose, the properties
of the ignition systems have been studied thoroughly and the influence of the
ignition system on the chemical reaction products has been investigated.
3.2 Comparative study of the ignition methods
3.2.1 Study of the ignition systems
In order to characterize the different ignition systems, closed vessel
experiments of the gas mixtures alone and of the black powder have been
performed. Different pressure-time curves are shown in Figure 3.
Thermodynamic calculations have been done with the ICT code [3]. For these
calculations the presence of air in the closed vessel has been taken into
account. Table 3 resumes different characteristics of the igniters.
0
1
2
3
4
5
6
7
8
-5 -3 -1 1 3 5 7 9
time (ms)
Pressure(MPa)
(I)
(II)
(III)
(IV)(VI)
(V)
Figure 3: Pressure vs. time curves of the different ignition systems. (I) IgniterI, (II)
IgniterII, (III) IgniterIII, (IV) IgniterIV, (V) IgniterV and (VI) IgniterVI.
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Deto-nationa
Insta-bilitiesb
rp/rpVIc Pmax
d(MPa)
Pmaxe
(MPa)Texplosion,
(K)Energyf
(J)
IgniterIIgniterII
IgniterIIIIgniterIVIgniterVIgniterVI
YesYes
YesNoNo-
YesYes
NoNoNoNo
HighestHigher
HigherSimilarSimilar-
5.384.68
2.523.601.872.64
5.484.90
2.874.242.563.10
35813555
3377325432272002
32522841
1632230814002186
Table 3: Different characteristics of the igniters.
(a) The detonation limits are not known in the used experimental setting. The used
detonation limits (0.105-0.9824 OCH
P/P ) are obtained in a tube with a diameter of 1 cm
[4].(b) The combustion instabilities refer whether or not important oscillations are observedin the experiments.
(c) Comparison of the obtained burning rate with the one obtained with the blackpowder (igniterVI).(d) Experimental maximum pressure.(e) Theoretical maximum pressure.
(f) The energy has been obtained by E= Cv * T*migniter
The important oscillations observed for igniter I and II in the closed
vessel test experiments with and without propellant may be due to the
detonation of the gas mixture. The composition of igniter III is also in the
detonation limit. But these limits are for methane mixed with pure oxygen. Infact, the critical energy for direct initiation of detonation increases significantly
when the percentage of diluant increases [5].
The maximum pressure is relatively important for igniterI,II and IV. The
maximum pressure of igniterIII and VI are in the same order.
The explosion temperature is far lower for the igniter VI than for the
gaseous ignition systems.
The energy produces by the igniter is important for igniterI, II and IV. Itis also in the same order for igniterIII and VI.
The slope of the pressure-time curve (Fig.3) is lower for igniterVI and is
more important for igniterI and II.
From these results, the only factor that can be related to the change of
combustion rate as a function of the igniter is the slope of the pressure-time
curve. In fact, the gaseous ignition systems, which have a similar combustion
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rate than the black powder, have also the slowest increase in pressure. This
factor can be related to a more or less homogeneous ignition of the propellant.
The more the combustion of the igniter is rapid the more the ignition must be
homogeneous.
3.2.2 Effect of the ignition system on the chemical composition
A required important characteristic for an experimental ignition system is
that it must not affect the determination of the combustion rate. In fact, it is
considered that the first part of the pressure-time curve is somehow influenced
by the ignition system and consequently for the determination of the combustion
rate only the range between 30%-70% of the maximum pressure is used [2].
Table 4 shows the influence of the ignition system on the combustion of
the propellant. Two factors have been considered: first, the ratio between the
molar percentage of CO2 and H2O (rich oxygen species) vs. the percentage of
CO and H2 (poor oxygen species) and secondly, the percentage difference of
the explosion temperature.
The amount of rich oxygen species increases by adding the igniter. The
increases are more important for the igniter I and VI. The explosion
temperature increases when the ignition system is gaseous and decreaseswhen black powder is used. The increase due to igniterI is important.
2
22
H%CO%
OH%CO%
+
+
()%Texplosion
Propellant+IgniterI+IgniterII+IgniterIII
+IgniterIV+IgniterV+IgniterVI
0.4180.444 (5.80%)0.432 (3.35%)0.429 (2.63%)
0.424 (1.44%)0.424 (1.44%)0.436 (4.28%)
-2.610.900.95
0.610.46-0.71
Table 4: Influence of the ignition system on the propellant. The percentages used inthe calculations are the percentages in mole. The figures between brackets are the
percentages of increase of the ratio due to the igniter.
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At this point, an ignition system must be selected. Igniter I and II must
be excluded, important oscillations in the pressure-time curves are observed
and the maximum pressure of the igniter alone in the closed vessel is high.
Igniter IV has also a high maximum pressure and produces a lot of energy. It
must therefore also been excluded. The increase of rich oxygen specie due to
igniterIII is important, but the increase due to igniterVI is larger. As the igniter
III permits to see a difference between the two parts of the particles, it is
selected.
3.3 Study of propellants with different deterrent penetration depths
Now that an ignition system has been selected, one must check whether
or not the discontinuity in the curves is actually due to change in chemical
composition. For this purpose, spherical propellants with different
concentrations in deterrent are used. These propellants are described in Table
1.
As at the end of the coating, almost all the deterrent is in the particles,
the penetration depth must follow the same sequence than the percentage of
deterrent. Figure 4 shows the obtained combustion rate with the IgniterIII and
with the igniterVI.
The difference between the different propellants is noticeable when the
gas ignition mixture is used. A great difference is observed between the
propellants with and without dibutylphthalate in their inner core. A difference of
combustion rate is observed between propellants A and B. The increase of
combustion rate appears further in the case of propellant B than for propellant
A. This is to be related to the higher percentage of deterrent in propellant A
resulting in a larger coating layer. A small difference is also observed between
propellant C and D. When black powder is used, a slight difference is observed
between the propellants, whit and without dibuthylphtalate in their inner core.
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0
2
4
6
8
1012
14
16
18
20
0 50 100 150Pressure (MPa)
Combustionrate
(cm/s). (a)
(b)
(c)
(d)
0
2
4
6
8
10
12
14
16
18
20
0 50 100 150Pressure (MPa)
Combustionrate
(cm/s).
(a),(b)
(c),(d)
Figure 4: Combustion rates of (a) Propellant A, (b) Propellant B, (c) Propellant C, (d)
Propellant D.1 IgniterIII2 IgniterVI
Figure 5 shows the derivative of the pressure vs. time. If the gas mixture
is used as ignition system, a difference can be easily observed between the
different propellants (Fig. 5-1). The discontinuity occurs first for propellant A,
followed by propellant B. This is the variation expected from the different
percentages in deterrent. Propellant C and D have a more gradual increase of
their derivative curve. This comes from the deterrent in the inner core of the
particles. Therefore the difference between the two chemical compositions of
the particles is less important. It can be seen that the discontinuity occurs first
for propellant C than for propellant D, this stems from the higher deterrent
concentration of propellant C. If the black powder is used as ignition system, a
difference can be observed only between the propellants with and without
dibutylphthalate in their inner core.
1 2
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0
20
40
60
80
100
120
-5 -3 -1 1 3 5
time (ms)
dP/dt(MPa/m
s)
0
20
40
60
80
100
120
-5 -3 -1 1 3 5time (ms)
dP/dt(MPa/m
s).
(a)
(b)
(c)
(d)(a)
(b)
(c)(d)
Figure 5: Derivative curves (a) Propellant A, (b) Propellant B, (c) Propellant C, (d)
Propellant D. To clarify the graphs, the curves of propellant B and D are in gray. 1.IgniterIII2. IgniterVI.
Table 5 shows the penetration depth of the propellants obtained as
previously explained for the propellants ignited by the gas mixture. As
expected, the penetration depth increases with the deterrent concentration.
Penetration depth (mm)
Propellant APropellant BPropellant CPropellant D
0.0760.0950.1020.098
Table 5: Penetration depths corresponding to the discontinuities in the derivative
curves (see Equation (1) for calculation procedure).
4 Conclusions
This study demonstrates the possibility to observe in closed vessel
experiment the difference between the two chemical compositions of a deterred
propellant.
First, different gaseous ignition systems have been tested. It has been
clearly observed that the ignition system has a significant influence on the
combustion rate. Three of the tested ignition systems permit to see a
12
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