Ning Yao1, Chunhua Bai1, Liqiong Wang1, Nan Liu2. 1. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China. 2. College of Quality & Safety Engineering, China Jiliang University, Hangzhou, Zhejiang 310018, China.
Abstract
In this work, the explosion characteristics of an aluminum (Al)-diethyl ether (DEE)-air mixture were investigated in a 20 L spherical vessel. The effect factors of the explosion characteristics considered were fuel concentration, component proportion, and ignition energy. With the increasing concentration of the mixed fuel (Al/DEE = 1:1), the maximum pressure (P max), the maximum rate of pressure rise ((dP/dt)max), and the flame propagation speed (νF) exhibit an inversely "U-shaped" curve. The maximum P max, (dP/dt)max, and νF values are 901.2 kPa, 148.3 MPa/s, and 15.3 m/s, respectively, corresponding to an optimum concentration of 600 g/m3. The P max, the (dP/dt)max, and the νF increase with the addition of DEE when the proportion of DEE is below 55% but have a decrease tendency when the proportion of DEE is over 55%. As the explosions of Al and DEE were mutually promoting, the studied explosion characteristics of the Al-DEE-air mixture are obviously higher than those of pure Al or DEE in air. The minimum ignition energy (MIE) of the Al-DEE-air mixture is 1.9 mJ, between the MIE of Al and DEE. With the increase of ignition energy, P max, (dP/dt)max, and νF all increase, while the minimum explosion concentration presents a linear decreasing trend. This work could provide significant scientific evidence for evaluating the explosion risk of the Al-DEE-air mixture.
In this work, the explosion characteristics of an aluminum (Al)-diethyl ether (DEE)-air mixture were investigated in a 20 L spherical vessel. The effect factors of the explosion characteristics considered were fuel concentration, component proportion, and ignition energy. With the increasing concentration of the mixed fuel (Al/DEE = 1:1), the maximum pressure (P max), the maximum rate of pressure rise ((dP/dt)max), and the flame propagation speed (νF) exhibit an inversely "U-shaped" curve. The maximum P max, (dP/dt)max, and νF values are 901.2 kPa, 148.3 MPa/s, and 15.3 m/s, respectively, corresponding to an optimum concentration of 600 g/m3. The P max, the (dP/dt)max, and the νF increase with the addition of DEE when the proportion of DEE is below 55% but have a decrease tendency when the proportion of DEE is over 55%. As the explosions of Al and DEE were mutually promoting, the studied explosion characteristics of the Al-DEE-air mixture are obviously higher than those of pure Al or DEE in air. The minimum ignition energy (MIE) of the Al-DEE-air mixture is 1.9 mJ, between the MIE of Al and DEE. With the increase of ignition energy, P max, (dP/dt)max, and νF all increase, while the minimum explosion concentration presents a linear decreasing trend. This work could provide significant scientific evidence for evaluating the explosion risk of the Al-DEE-air mixture.
The mixed fuels consisting
of combustible liquid, solid, or gas
are commonly used in industry. Research studies about the explosion
of mixed fuels mainly focus on the development and the severity of
the explosion.[1−4] Compared with simple fuels, there have been only fewer studies on
the explosion behavior of solid–liquid mixtures in air. In
recent years, the interaction between the components of mixed fuels
has received increasing attention. It was found that the mixtures
were more reactive than all the other simple hybrid mixtures in the
complex hybrid system.[5−8] In view of the higher explosion risk, it is necessary to study the
explosion of complex hybrid mixtures. Fuel air explosive (FAE) is
one kind of hybrid mixture that consists of solid, liquid fuel, and
air. To improve the explosion performance of the FAE, flake aluminum
powder is considered to mix with liquid fuels in some factories.Al powder is widely used in the military for propellants in aerospace
devices, rockets, and missiles.[9,10] With a high energy
density and good compression-ignition characteristics, DEE can be
used as an engine ignition accelerant or as an alternative fuel for
diesel engines.[11] In addition to their
broad applications, Al and DEE are dangerous due to their flammability
and explosive nature.[12−19] In the past few decades, explosions of aluminum dust clouds have
posed serious threats to the safety of human life and property.[20,21] As reported, the volatile and flammable DEE could generate a large
variety of peroxide species when exposed to air and light, which may
lead to a more serious explosion.[22] It
is conceivable that the explosion caused by an Al–DEE–air
mixture would bring serious consequence to the factories if there
were no proper safeguards. In order to prevent the accidental explosions
occurred during the production process in these factories, the research
on the explosion characteristics of the multiphase mixed fuel is necessary.In recent years, studies on the explosions of Al dust mixed with
flammable gases were reported. Yu et al. indicated that both microdiffusion
flame and asymmetric flame existed during the explosion of Al–H2–air mixtures.[23,24] The addition of hydrogen
resulted in a more continuous flame front and a faster flame propagation
velocity. For the explosion overpressures and the pressure rise rates
of the hybrid mixtures, it was reported that the tested explosion
characteristics of the Al–H2–air mixture
were higher than those of the H2–air mixture and
Al dust–air mixture.[25,26] Zhang et al. proposed
that the addition of aluminum dust reduced the lower flammability
limit of gaseous epoxypropane and increased the maximum rate of combustion
pressure rise of the gaseous epoxypropane/air mixtures.[27] James et al. recorded the propagation of constant-pressure
flames of hybrid aluminum/methane/oxidizer mixtures using high-speed
cameras.[28] The flame speed first declined
then remained constant with the increasing aluminum concentration
in a lean oxygen atmosphere. While in an excess oxygen atmosphere,
the flame speed increases with the increasing aluminum concentration
before it became constant.As the interaction between the multiphase
components is quite complex,
very few research has been done on the mixtures consisting of Al powder
and liquid fuel. Liu et al. established a two-phase (gas–solid)
flow and detonation model to explore the heterogeneous detonation
characteristics of aluminum dust/JP-10/air mixtures. Results showed
that the detonation velocity and temperature of hybrid mixtures are
both higher than those of aluminum dust/air mixtures and JP-10/air
mixtures.[29] Liu et al. measured the explosion
characteristics of RDX/aluminum powder/nitromethane/air mixtures.[30,31] The maximum rate of pressure rise and maximum pressure of RDX/aluminum
powder mixtures both first increased and then decreased with the increasing
mass fraction of RDX. The maximum pressure of RDX/aluminum powder/nitromethane/air
mixtures continuously decreased with the increasing mass fraction
of RDX but increased with the raising mass fraction of Al. Yao et
al. found that the explosion pressure of the aluminum dust/diethyl
ether/air mixture was more sensitive to the ambient pressure, while
the lower flammability limit of the mixture was more sensitive to
the ambient temperature.[32] Liu et al. discussed
the interactions between the components of Al–DEE–air
by analyzing the lower flammability limits of the mixture under different
proportions.[33] The addition of aluminum
obviously raised the lower flammability limit of the hybrid mixture
as the aluminum power absorbs the heat to crack, which was released
by the reaction of DEE.In this work, the typical explosion
characteristics (i.e., the
maximum pressure, the maximum rate of pressure rise, the flame propagation
speed, the minimum ignition energy, and the minimum explosion concentration)
of the Al–DEE–air mixture were investigated. The effect
factors of these explosion characteristics considered in this work
were fuel concentration, component proportion, and ignition energy.
The present experimental work employs an experimental method recently
introduced in previous work in which the different phase components
were well mixed and distributed before the ignition. The objective
of the present work is to evaluate the explosion risk of hybrid Al–DEE–air
mixtures.
Experimental Details
Experimental
Apparatus
The tests
were performed in a 20 L closed spherical vessel. As shown in Figure , the experimental
system is composed of a vessel with two symmetrical nozzles, a high-voltage
electric ignition system, a control system, a venting pump, a transient
pressure measurement system, and a data acquisition system. The details
of the two nozzles have been described in our previous work.[34] A pair of tungsten electrodes are installed
in the center of the vessel, connected with the high-voltage electric
spark generator. The ignition energy was calculated by 1/2 CU2, where C and U are the capacitance and voltage obtained from an electric igniter,
respectively.
Figure 1
Experimental setup.
Experimental setup.First, the Al powder and the liquidDEE were weighted separately.
After filling the Al powder sample into the containers, the DEE was
injected into the Al powder sample by using a syringe. In that way,
they were per-mixed and filled into the containers. Furthermore, the
pneumatic system and the specially designed nozzles provide turbulence
disturbance, which allows the aluminum powder and DEE droplets to
be more evenly distributed in the vessel. The pressure of the compressed
air was set to 0.4 MPa, and the duration time was 50 ms. The explosion
vessel was partially vacuumed to −0.035 MPa to ensure that
the fuel was ignited at standard atmospheric pressure (1 atm). Once
the solenoid valves were opened, the compressed air pushed the mixed
samples into the reaction vessel to form flammable clouds. The electric
igniter was initiated after a delay time of 65 ms.[34] The explosion occurred after the ignition, and the experimental
data were collected by the data acquisition system. The vessel and
containers were cleaned, ready for the next test.
Materials
The aluminum powder used
for explosion experiments was tested using a laser particle analyzer
of Sympatec Gmbh. The particle diameter distribution is shown in Figure . The average diameter
and the Sauter mean diameter of aluminum powder were 14.28 and 7.66
μm, respectively. The morphology of the aluminum powder was
observed through scanning electron microscopy. Figure shows the lamellar shape and the typical
size of aluminum powder. The physical properties of diethyl ether
are given in Table . As shown in Table , the auto-ignition temperature of DEE is 160 °C and the flash
point is −45 °C. The flammability limit of DEE–air
ranges from 1.9 to 36% under standard conditions.[35] The minimum ignition energies of Al and DEE are 15 and
0.33 mJ, respectively.
Figure 2
Particle diameter distribution of Al.
Figure 3
Scanning
electron microscopy images of Al powders.
Table 1
Physical Properties of Diethyl Ether
formula
C2H5OC2H5
Al
calorific value
33.9 MJ/kg
30.4 MJ/kg
density
713 kg/m3
2700 kg/m3
boiling point
34.4 °C
2056 °C
flash point
–45 °C
explosion limits
1.9–36%
37–50 g/m3
minimum ignition energy
0.33 mJ
15 mJ
stoichiometric air fuel
ratio (mass basis)
11.1
4.23
auto ignition
temperatureheat
of combustion
160
°C2752.9 kJ/mol
645 °C822.9 kJ/mol
cetane number
>125
Particle diameter distribution of Al.Scanning
electron microscopy images of Al powders.
Data Processing
The mixture explosion
experiments were repeated three times under the same conditions. In
each test, the explosion pressure evolution was obtained using four
pressure sensors (Kistler, Switzerland) installed on the wall of the
vessel. The average value of the explosion pressure recorded using
the four pressure sensors was calculated for the sake of analysis.
The error of the results was composed of two parts: one is the error
generated in the experimental process (5%), and the other is the error
of data processing. The error of data processing was determined by
the standard deviation of the data obtained from the four pressure
sensors.In Figure , a typical pressure profile with time during an explosion
test is shown, where Pmax is the maximum
pressure and (dP/dt)max is the maximum rate of pressure rise. The burning time (tb) is the time interval between the time corresponding
to the ignition point and the time corresponding to the maximum explosion
pressure (Pmax) point. Therefore, the
flame propagation speed (νF) can be calculated by tb and the radius (R20) of the explosion vessel.[36] The equation is as follows (eq ):
Figure 4
Typical pressure profile
as a function of time during mixture explosion.
Typical pressure profile
as a function of time during mixture explosion.
Results and Discussion
Influence
of Mixture Concentration
The influence of fuel concentration
on the explosion characteristics
of the mixtures was investigated first. The mass ratio of Al to DEE
in the Al–DEE–air mixture was fixed at 1:1, and the
ignition energy was set to 10 J. The range of the fuel concentration
varied from 300 to 900 g/m3.As shown in Figure , the maximum value
of Pmax is 901.2 kPa, corresponding to
600 g/m3. When the fuel concentration is lower than 600
g/m3, there is sufficient oxygen in the vessel. Pmax depends on the amount of heat released by
the reaction between fuel and oxygen. The more fuel there is, the
more energy released during the explosion process, resulting in a
greater explosion pressure. Thus, the Pmax increases with the increasing fuel concentration. While the fuel
concentration exceeds 600 g/m3, there is finite oxygen
in the vessel. Instead of participating in the combustion reaction,
the excess fuel will absorb a part of energy to impede the reaction.
Therefore, the higher fuel concentration leads to a greater loss of
energy, resulting in a lower explosion pressure. As a consequence,
the Pmax shows a downward trend.
Figure 5
Pmax vs mixture concentration.
Pmax vs mixture concentration.In Figure , the
maximum value of (dP/dt)max is 148.3 MPa/s, and the maximum value of νF is
15.3 m/s, corresponding to an optimum concentration of 600 g/m3. As shown in the figure, the variation tendency of (dP/dt)max is consistent with
that of Pmax. When the fuel concentration
is below 600 g/m3, the (dP/dt)max mainly depends on the rate of chemical reaction during
explosion. The more fuel takes part in the reaction, the greater rate
of chemical reaction it is. The (dP/dt)max increases with the increase of fuel concentration.
When the concentration is above 600 g/m3, the amount of
fuel participating in the chemical reaction remains constant since
the amount of oxygen in the vessel is constant. Excess fuel makes
the rate of chemical reaction slow down by consuming heat and hinders
the diffusion of oxygen. Thus, the rate of chemical reaction will
not increase with the increasing fuel concentration.
Figure 6
(dP/dt)max and flame
propagation speed vs concentration.
(dP/dt)max and flame
propagation speed vs concentration.The increase of the fuel concentration shortens the distance between
particles, improving the heat transfer efficiency. As a result, the
burning time of the flammable mixture shortens and the νF increases. However, the distance between particles could
not be infinitesimally small because of repulsive forces between molecules.
When the concentration is higher than 600 g/m3, the influence
of the distance change is weak. Excess fuel hinders the heat propagation
and oxygen diffusion. Thus, the νF begins to decrease.
The rate of chemical reaction directly affects νF, and the increase of chemical reaction rate makes νF faster.By analyzing the influence of the concentration on
the explosion
characteristics, the maximum values of the explosion parameters are
obtained. The extreme values of Pmax,
(dP/dt)max, and νF reflect the explosion severity of Al–DEE–air
mixtures. The results can be used to assess the explosion risk and
provide data basis for the design of protective measures.
Influence of Ignition Energy
The
effect of the ignition energy on the explosion characteristics of
the Al–DEE–air mixture was investigated in this section.
The mass ratio of Al to DEE was fixed at 1:1. The fuel concentration
was fixed at 600 g/m3, and the ignition energy varied from
12 to 90 J.As shown in Figure , the relationship between Pmax and ignition energy is a clear linear positive correlation. Pmax increases from 750.9 to 960.5 kPa when the
ignition energy increases from 12 to 90 J. The ignition energy is
just an inducer for the chemical reaction, which increases the heat
to some extent at the initial stage of the reaction, rather than the
amount of heat released during the explosion process. Thus, the changing
tendency of Pmax with the increasing ignition
energy is not obvious.
Figure 7
Pmax vs ignition energy.
Pmax vs ignition energy.Figure shows that
both (dP/dt)max and νF are positively correlated with ignition energy. When the
ignition energy varies from 12 to 90 J, the (dP/dt)max increases from 118.9 to 176.3 MPa/s, and
the νF increases from 15.6 to 20.2 m/s. The increase
of ignition energy promotes the production of free radicals. Hence,
the rate of chemical reaction is accelerated. Furthermore, the increase
of ignition energy leads to a rise of the ambient temperature in the
vessel, which enhances the volatility of the mixture. The more volatiles
participating in the reaction, the faster the reaction rate is. As
a result, the burning time is shortened. With the increase in ignition
energy, the volume of the ignition space becomes larger and the turbulence
intensity increases, which improves the combustion efficiency. Therefore,
the (dP/dt)max and the
νF increase with the increasing ignition energy.
Figure 8
(dP/dt)max and flame
propagation speed vs ignition energy.
(dP/dt)max and flame
propagation speed vs ignition energy.The results provide the evidence that the increasing initial ignition
energy rises the risk of Al–DEE–air mixture explosion.
In conclusion, the ignition sources must be eliminated as far as possible
in the process of industrial production and transportation.
Influence of the Mass Ratio of Aluminum Dust
to Diethyl Ether
A series of tests were conducted to analyze
the effect of the mass ratio of aluminum dust to diethyl ether on
the explosion characteristics. The mixture concentration is 600 g/m3, and the ignition energy is set to 90 J. The proportion of
DEE varied from 0 to 100% with a 10% step.As shown in Figures and 10, the variation tendency of Pmax, (dP/dt)max, and νF with the increasing proportion of DEE is similar. The maximum
values of Pmax, (dP/dt)max, and νF are 980.2 kPa,
180.5 MPa/s, and 21.5 m/s, respectively. It is worth mentioning that
the Pmax, the (dP/dt)max, and the νF of Al/DEE/air
mixture explosions at any mass ratio are higher than those of pure
Al/air mixtures or pure DEE/air mixtures.
Figure 9
Pmax vs the proportion of diethyl ether.
Figure 10
(dP/dt)max and flame
propagation speed vs flame propagation speed.
Pmax vs the proportion of diethyl ether.(dP/dt)max and flame
propagation speed vs flame propagation speed.When the proportion of DEE in the mixture is lower than 55%, the
addition of DEE increases the Pmax of
the Al–DEE–air mixture. The reason is that DEE has a
higher combustion heat at the same mass when compared with aluminum
powder. The higher the proportion of DEE, the more heat will be released.
Another reason for the increase in the heat release is the rise of
the participation rate of Al in the reaction. The heat released by
the reaction of DEE contributes to crack the oxide layer on the surface
of Al powder and accelerate the melting of Al powder. In that case,
more Al powder takes part in the chemical reaction. Additionally,
Al powder could react with CO2 and H2O produced
by DEE oxidation, which in turn promotes the combustion reaction of
the DEE. When the proportion of DEE in the mixture is higher than
55%, the DEE involved in the reaction will not increase as the amount
of oxygen in the vessel is limited. The excess DEE consumes heat to
vaporize, reducing the participation rate of Al powder during the
combustion process. Therefore, the Pmax decreases with the increasing proportion of DEE.The DEE act
as a medium to transfer heat between Al particles when
the proportion of DEE is lower than 55%. The continuity of Al powder
is improved, and the heat transfer efficiency between particles is
accelerated with the addition of DEE. The combustion of DEE provides
more energy, making the ignition of Al powder easier and accelerating
the combustion rate of Al powder. The heat released from the combustion
of Al powder increases the temperature of unburned fuel, causing a
thermal expansion and promoting the flame propagation. In that case,
the (dP/dt)max and the
νF of the Al–DEE–air mixture increase
with the increasing proportion of DEE. At a high proportion of DEE,
the drops of DEE will enfold Al powder, isolating the contact between
Al and oxygen and reducing the participation rate of Al powder in
the reaction. As the combustion rate of DEE is faster than that of
Al powder, the flame front of Al powder cannot catch up with that
of DEE. The Al powder will increase the heat capacity of the Al–DEE–air
mixture and make the flame speed slow down. Thus, the (dP/dt)max and the νF of
the Al–DEE–air mixture decreased.By comparing
the explosion characteristics of the Al–DEE–air
mixture, Al–air mixture, and DEE–air mixture, it is
found that the complex hybrid mixtures present a greater risk of explosion
than the simple hybrid mixtures. Hence, when setting the monitoring
of the concentration of Al powder and DEE and the prevention of the
explosion during production and storage, the interaction effect between
Al and DEE should be taken into consideration.
The Minimum
Explosion Concentration (MEC)
and the Minimum Ignition Energy (MIE)
The lowest fuel concentration
that can propagate an explosion is often regarded as the MEC. In this
section, the MECs of Al–DEE–air mixtures were measured
under different ignition energies. The mass ratio of Al to DEE was
fixed at 1:1.In Figure , the MEC decreases linearly with the increase of ignition
energy. The effective collision between fuel molecules and oxygen
molecules near the MEC is relatively low. The increase of ignition
energy accelerates the thermal movement of molecules and improves
the chance of collision between molecules. In this case, the concentration
that would not have exploded occurs with a higher ignition energy.
Figure 11
Effect
of the ignition energy on MEC.
Effect
of the ignition energy on MEC.The MIE refers to the minimum energy used to ignite fuel and cause
an explosion at the most sensitive concentration. As shown in Figure , the most sensitive
concentration of the mixture is 500 g/m3, and the corresponding
MIE is 1.9 mJ. The MIE exhibits a “U-shaped” curve with
the increase of the concentration. When the concentration is below
500 g/m3, the MIE decreases with the increase of fuel concentration.
This phenomenon is mainly because the less fuel there is, the higher
ignition energy would be needed to ignite the mixtures. When the concentration
is above 500 g/m3, the MIE shows an upward trend with the
increasing fuel concentration. For these cases, excess aluminum particles
act as radiators and absorb the energy; hence, the fraction of active
particles for combustion reduced. In addition, excessive aluminum
is attached to the tip of the electrode, which weakens the energy
released by the electric spark. Therefore, the mixture is harder to
be ignited than expected.
Figure 12
Effect of the mixture concentration on MIE.
Effect of the mixture concentration on MIE.
Conclusions
This
work investigates the explosion characteristics of the Al–DEE–air
mixture under normal atmospheric pressure and temperature and is associated
with previous studies that have studied similar mixtures in the same
20 L sphere vessel. The explosion parameters included the maximum
explosion pressure, maximum rate of explosion pressure rise, flame
propagation speed, MEC, and MIE. After the analysis, the conclusions
are as follows:The Pmax, (dP/dt)max, and νF all exhibit an
inversely “U-shaped” curve with
the increasing concentration of the mixture and the increasing proportion
of DEE in the mixture. The peak values of Pmax, (dP/dt)max, and νF are 901.2 kPa, 148.3 MPa/s, and 15.3 m/s, respectively. These
results provide scientific evidence to the safety measures for production
and storage of the Al–DEE–air mixture.As the explosions of Al and DEE were
mutually promoting by improving the heat transfer efficiency between
particles, the Pmax, (dP/dt)max, and νF of the
Al–DEE–air mixtures are higher than the values of the
Al–air mixture or DEE–air mixture. The comparison of
explosion characteristics among the Al–DEE–air mixture,
Al–air mixture, and DEE–air mixture indicates that there
is synergistic effect between Al powder and DEE.The higher ignition energy accelerates
the thermal motion of the molecules and increases the chance of collisions
between molecules. Hence, the MEC presents a linear decreasing trend
with the increase of ignition energy. Furthermore, the MIE of the
Al–DEE–air mixture is 1.9 mJ, which is 87.3% lower than
the MIE of pure Al (15 mJ). The addition of DEE plays an important
role in reducing the MIE. It is worth stressing that the ignition
sources must be eliminated as far as possible in the process of industrial
production and transportation of Al–DEE–air mixtures.Aimed at improving the prevention of Al–DEE–air
mixture
explosion during industrial production, this work provides the maximum
value of Pmax, (dP/dt)max, and νF of the mixture
and analyzes the influence of fuel concentration, component proportion,
and ignition energy on these characteristics. The experimental results
provide scientific evidence for the evaluation about the explosion
risk of Al–DEE–air mixtures.