Abstract
Electrical cable sheaths are the most abundant fire load in nuclear power plants, mainly in rooms that are kept in under slight pressure. This configuration leads fires to grow in under-ventilated and vitiated conditions. Assessing fire threat involves characterizing the heat released, responsible for fire growth, and the smoke evolved, which may interact with sensitive components in the area. For that purpose, a revisited controlled-atmosphere cone calorimeter has been designed, set up, and coupled to a Fourier transformed infrared spectrometer and an electrical low-pressure impactor to measure simultaneously the evolved gases and aerosols, respectively. This bench-scale apparatus has been first qualified with polymethylmethacrylate. It has second been used to characterize polyvinylchloride cable sheath representative material reaction to fire in under-ventilated and vitiated conditions. It appeared that vitiation in under-ventilated fires lowers the heat release rate and the fuel mass loss rate.
Keywords
Introduction
In the nuclear industry for power generation, fire is frequent internal aggression with an occurrence of one fire outbreak per year and per nuclear unit in France. A fire is threatening by two means: the heat released that may drive fire growth and smoke evolution. Smoke is composed of gases and aerosols that may be transported away from the start of the fire and interact with components in the area. In nuclear power plants (NPPs), compartments in the buildings are generally sealed from one to another while connected to a ventilation network. This ventilation system provides a suitable pressure cascade to prevent any accidental radioactive leak within the compartment from escaping into the atmosphere. The compartments containing radioactive materials are under-pressurized and the outgoing airflows are gathered and filtered thanks to high-efficiency air-cleaning devices. 1 As flaming fires consume the oxygen, this low ventilation level drives confined fires under oxygen-depleted conditions (i.e. [O2] < 21 vol. %) at advanced stages. On the one hand, the fire is under-ventilated when the airflow rate is less than the amount required for complete combustion (ventilation-controlled combustion, e.g. due to limited ventilation openings). On the other hand, the fire is vitiated when the oxygen concentration in the inlet gas flow can range from 21 vol. % down to 0 vol. %. It can typically result from the mixing of the smoke within the enclosure, or from ventilation conditions where oxygen is gradually consumed and replaced by combustion products. As NPPs can require more than 1600 km of electrical cable, electrical cable sheaths are the most abundant fire load in these premises. 2 In all the running NPPs, which are second-generation NPPs, electrical cable sheaths are mainly polyvinylchloride (PVC)-based formulated materials. To assess the consequence of an NPP fire, experimental studies at laboratory scale are particularly crucial in under-ventilated and vitiated conditions.
Different designs of controlled-atmosphere cone calorimeter (CACC) have been set up in laboratories3–15 to study the flammability parameters of various polymers, for example, polymethylmethacrylate (PMMA), polyethylene (PE), polypropylene (PP), or polystyrene (PS), as well as the smoke produced by under-ventilated and vitiated fires. The tests in CACC imply that phenomena can be controlled by both ventilation and vitiation of the gas supply. Apparatus with a sealed connection between a controlled-atmosphere enclosure and the ductwork is titled closed CACC, while those having an open connection between the controlled-atmosphere chamber and the exhaust duct are titled open CACC. 3 Bench-scale testing involves samples in the range of grams to kilograms submitted to a constant and calibrated radiative heating source which leads the sample to behave representatively of a real fire at a chosen stage. During the test, the condensed phase and the gas phase are not separated so the self-maintained phenomenon of combustion is represented. The fire propagation apparatus (FPA) was designed in the mid-1970s under the direction of A. Tewarson. It was standardized as ISO 12136:2011 16 and ASTM E2058. 4 The cone calorimeter in its open version was developed in the early 1980s at the National Bureau of Standards by V. Babrauskas. It was standardized as ISO 5660-1:2015 5 and ASTM E1354. 6 The National Institute of Standard and Technology (NIST) developed a CACC in 1992. 7 In addition to the CACC apparatus, the Purser furnace apparatus also enables different fire stages to be created. 17 The operation of the open CACC has been recently standardized with ISO 5660-5:2020. 8 However, the experimental work presented in this study has been conducted before the publication of ISO 5660-5 in 2020. Therefore, our results cannot be based on this standard. There are a few variations in our apparatus 18 and the designs described by ISO 5660-5 or other researchers. Our CACC apparatus allows us to perform fire tests in under-ventilated and vitiated conditions to get complementary data to observation obtained in the well-known ventilated regime.
The tests conducted in these benches have shown that the mass loss rate (MLR),19–22 heat release rate (HRR), and total heat release21,22 decrease when vitiation increases. The carbon monoxide yield21,23 and the soot yield 23 increase. The total flame radiation and the emittance decrease, whereas the flame temperature remains constant. 20 Time to ignition remains unchanged when vitiation increases. 22 When the equivalence ratio increases in under-ventilation conditions, the MLR decreases for some studies23–25 and remains constant for others,22,26 the heat release rate decreases,22,27,28 the convective fraction efficiency decreases, whereas the radiative fraction efficiency has a gaussian shape. 27 The soot yield increases for most studies25,27 but remains constant in another study. 28 The carbon monoxide yield increases and the carbon dioxide yield decreases25,27–29 and gas temperature decreases. 25 Low molecular weight hydrocarbons yield increases.27,29 However, a lack of data on PVC materials under CACC conditions can be underlined.
A bench-scale apparatus in which small plaques are subjected to a radiative heat flux of 50 kW/m2 has been designed allowing us to characterize simultaneously the fire parameters, that is, HRR and MLR, and the smoke, that is, the light gases and the aerosols. This apparatus is designed to study the inlet flow rate and the oxygen concentration over a wide range of conditions. It consists of a new design of CACC coupled to a Fourier transformed infrared (FTIR) spectrometer and an electrical low-pressure impactor (ELPI) particle sizer. Two unique features can be highlighted: the gas mixture is distributed in a very homogeneous way at the inlet before mixing with pyrolysis gases, and additional sampling connections included in the chimney are used for measuring temperature and collecting gases and aerosols before analysis by various techniques. Previous results to investigate the fire behavior of ethylene vinyl acetate (EVA) and EVA/ATH (with aluminum trihydroxide) using the open mass loss cone/FTIR/ELPI are reported by Ngohang and colleagues.30–32 Since PMMA is a widely studied material in the fire science field, tests with PMMA are first carried out on the new apparatus to compare with the literature. In a second time, the same tests with PVC cable sheath representative material are performed.
Material and methods
Methods
Bench overview
A CACC was designed to fulfill the following requirements:
Controlling confinement and the atmosphere composition between 2% and 21 vol. % as well as the inlet flow rate between 0 and 200 L/min;
Getting a reliable HRR measurement in under-ventilated combustion under an applied heat flux of 50 kW/m2, representative of mid to advanced fires;
Ensuring a dispersion of the gas mixture at room temperature within the enclosure (i.e. horizontally homogeneous flow velocity);
Allowing a transmission of the infrared emission coming from the flame to avoid additional local heating;
Allowing good visibility of the sample burning;
Allowing the instrumentation of mass loss, heat release rate, gas concentration, and aerosols concentration to be performed.
Figure 1 displays an overview of the apparatus and specific elements are detailed subsequently. The airtight enclosure (60 × 60 × 60 cm3) is composed of stainless steel 316 L framework on which four windows made of polycarbonate are silicon-sealed (surface ratio of windows over the framework of 80% vs 20%). The heater element is wound in the form of a truncated cone rated 4200 W at 230 V with a radiative heat output of up to 75 kW/m2. Its temperature is controlled by 3 K-type thermocouples embedded inside the spires. A flux meter (OP837193 supplied by Captec) is used to evaluate the heat flux delivered by the conical resistance. A one-piece shutter made of an insulating ceramic fiber element laid on a stainless-steel round plate is used to protect the sample from the heat flux before beginning the test. The sample is positioned on a stainless-steel plate (10 × 10 cm2) which is directly placed on a refractory firebrick. The load cell used for measuring mass has a sample capacity of over 500 g (accuracy of 0.01 g). The spark igniter used to pilot the ignition provides a tension of 10 kV between its two electrodes. The chimney provided by FTT is a 0.6-m-high cylinder with a 0.12-m diameter. The flow regime in the chimney is intermediate to turbulent according to the Reynolds number (∼3000) used to predict the transition from laminar to turbulent flow, which favors radial mixing and homogeneous flow. In comparison to the standardized apparatus, additional sampling connections are used upstream of the mixing of the smoke with the ambient air, for measuring temperature and collecting gases and aerosols before analysis by various techniques. Thus, an extra part (150 mm) on the top of the chimney is instrumented with three sampling lines, four K-type thermocouples, and a flow velocity sensor (L Pitot tube CP211HOR supplied by Kimo, accuracy of 0.5%). Sampling connections included in the chimney are positioned a few centimeters from the smoke exhaust. A regulation system is used to mix and deliver a controlled mixture of dry air and nitrogen (purity: 95%–99.9999%) at room temperature and a flow rate between 30 and 120 L/min. The mixture is distributed under a 10-mm-thick sintered stainless-steel plate creating a pressure drop of 0.1 bar (supplier: Poral). A zirconium oxygen controller (supplied by Buhler under the reference BA 1000) is used to measure the O2 concentration inside the enclosure. Its range of measurement is from 0.1 up to 25 vol.% with an accuracy of 2% and a response time of 3 s. A paramagnetic oxygen sensor (Servomex Servopro 4900) is used to measure the O2 concentration in smoke from 0% to 25 mol.% with an accuracy of 0.5% and a response time of 15 s, with a gas sampling of 1 L/min and after H2O removing by a cooling unit and a moisture sorbent. In smoke, light gases, that is, substances at a gaseous state at 180°C, are measured continuously with FTIR and aerosols, that is, soot and condensed hydrocarbons, are measured continuously with an ELPI.

Overview of the apparatus developed.
Heat release rate measurement
HRR is calculated according to equation (1) after Huggett’s 33 law and its assumptions made by Parker 34 and Janssens. 35 Thus, HRR is obtained from the measurement of O2, CO, and CO2 concentrations in the gas phase and the mass flow rate of the incoming stream.
Equation (1): HRR calculation taking into account the amount of carbon dioxide and carbon monoxide released
where
FTIR spectrometer
A Thermo Nicolet iS10 FTIR spectrometer equipped with a nitrogen Mercury Cadmium Telluride (MCT) detector, 0.2 L volume gas cell, and 2 m optical path length, was set. Acquisitions were performed in mid-infrared (from 4100 to 650 cm−1) with high-spectral resolution (set at 0.5 cm−1) and a scan number of one to get a real-time analysis (each scan was taken at 1.61 s and 0.5 cm−1 as spectral resolution). The number of scans used for the acquisition of quantitative calibration gases was set at 20 to enhance the signal/noise ratio. The polytetrafluoroethylene (PTFE) gas transport line and the FTIR gas cell are heated at 180°C to avoid condensation of volatiles. A pump (equipped with a flow meter and valve) to get controlled and constant flow (3.5 L/min) was put after the FTIR spectrometer and a pressure gauge with regulating valve to keep constant pressure (650 ± 5 Torr) was set into the gas cell. Each gas (CO2, CO, H2O, CH4, C2H4, C2H2, C6H6, and HCl) was calibrated in this study using the Classical Least Square (CLS) algorithm as an FTIR gas computing model and considering all the unavoidable interferences between substances.30–32 Dilution of smoke is performed upstream the FTIR spectrometer in the CACC configuration to get into the gas’s calibration range thanks to a Dekati Diluter.
ELPI particle sizer
Cascade impactors are widely used to measure particle size distributions in a variety of applications. An ELPI from Dekati is used to measure in real-time the size distribution and the concentration of aerosols. 36 The operating principle of the ELPI can be summarized in three consecutive steps. First, particles sampled from smoke are exposed to a unipolar positive ion environment in the corona charger, where they are electrically charged to a known charge level. In the second step, the charged particles enter the low-pressure cascade impactor where they are classified into size fractions of 6 nm to 10 µm according to their aerodynamic diameter, the latter determining their deposition at a particular ELPI stage. In the final step, charges carried by particles are continuously measured, at each impactor stage, by sensitive electrometers located inside the ELPI and the measured current values are inverted to yield particles’ number (per cm3) using transfer functions provided by manufacturers. The antistatic PTFE ELPI sampling line was heated at 180°C to prevent effects of condensed humidity on the measurement. A vacuum pump located at the far side of the ELPI is set by the manufacturer to regulate isokinetic flow to a rate of 10 L/min. Dilution of smoke is performed upstream the ELPI particle sizer thanks to an FPS-4000 from Dekati. In practice, the ELPI enables detection of particles with a 15-stage low-pressure cascade impactor, including 14 impactor stages (contains one precut stage to remove large particles, not measured electrically) plus a final filter (also connected to the electrometer) that collects in the last stage the particles too small to be deposited by impaction in the previous stages. Particles are finally classified into 14 size fractions on the impactor according to their aerodynamic diameter.
Materials
The representative material of PVC cable sheath is made of a simplified formulation made of 38.3 wt. % of PVC, 28.3 wt. % of diisodecylphthalate (DIDP), 31.4 wt. % of calcium carbonate (CaCO3) and 1.9 wt. % of Ca/Zn thermal stabilizer. In this formulation, the PVC, referenced as “PVC Lacovyl S 7015-PCC 016VPT,” is provided by Kem One. The DIDP, referenced as “Jayflex” is provided by Caldic. The CaCO3, referenced as “EHX1 OM,” is provided by OMYA. The Ca/Zn thermal stabilizer is a one-pack compound provided by ChemTech. The formulation was mixed in a CP 200 L high-speed mixer from CACCIA. Neat PVC is first introduced in the mixer and rapidly heats to 80°C. The additives are slowly added before rapid increase of the temperature to 110°C. The formulation is then transferred into a cold tank and the obtained “dry-blend” is conditioned at 25°C in PE bags. The formulation is injection-molded and heated up to 200°C in the form of plaques of 100 × 100 × 3 mm3.
Neat and transparent PMMA is provided by Goodfellow under the reference ME303050 and cut in the shape of 100 × 100 × 5 mm3 plaques.
Fire testing
Sample plates of PVC-based formulation and PMMA placed in a horizontal orientation in the CACC holder were tested under 50 kW/m2 and different O2 concentrations of 21, 18, 16, 13, 9, 6, and 2 vol. % with a low-ventilation rate of 30 L/min in the enclosure to simulate an advanced stage confined fire, as specified in the ISO 19706:2011 37 classification of fire stages.
The [CO]/[CO2] ratio is used in our study to choose the inlet flow rate to be used under controlled-atmosphere conditions. The [CO]/[CO2] ratio is inferior to 0.05 for well-ventilated flaming fires. For confined under-ventilated flaming fires, the [CO]/[CO2] ratio is comprised between 0.2 and 0.4. 37 In addition, the ventilation conditions and fire stages are commonly characterized by the global equivalence ratio11,38 defined as the mass ratio of the actual fuel/air ratio to the stoichiometric fuel/air ratio for complete combustion. If the amount of air equals the fuel-air requirement, then the conditions are stoichiometric, and the equivalence ratio equals 1. If the equivalence ratio is higher, then the conditions are defined as ventilation-controlled combustion, and if the air requirement is exceeded, then the conditions are well-ventilated. The chosen inlet volume airflow rate of 30 L/min, close to the values used by Tewarson and Pion, 19 provides confined under-ventilated combustion for both materials, that is, low air supply and fuel-rich flame, on both the [CO]/[CO2] and equivalence ratio criteria. Indeed, the [CO]/[CO2] ratio varies during the tests between 0.1 and 0.3 and the equivalence ratio is globally between 1 and 4, using the stoichiometric mass air-to-fuel ratio of 8.27 for PMMA and 8.42 for filled PVC.
Data processing and repeatability
For each experiment under the same conditions, at least three runs were carried out. Data are processed with the aim to consider the experimental uncertainties and the repeatability. To do so, an average curve, that is, the arithmetic average at each time for all the runs, as well as the standard deviation associated, is calculated. The run curve that has the minimum difference with the calculated average curve is chosen as the “reference.” The standard deviation based on the different runs is plotted on the same graph around the average curve which is not displayed to keep the figure clear and readable. Furthermore, the transfer time, that is, the mean residence time from the sample to the different analysis tools, is subtracted from the measured time before plotting the data on the figures of HRR, gases, and aerosols. Transfer times, around 10 s, were estimated by matching flame markers (CO2, H2O, and O2) with time to ignition.
Results
Effect of vitiation on fire parameters
Observations
When lowering the oxygen content in the inlet gas stream injected at room temperature, it is observed a critical oxygen limit underneath which the flame is quenched. This threshold is about 13 vol. % for PMMA materials and about 15 vol. % for PVC-based materials.
Normalized mass and MLR of PMMA versus time at different O2 contents in the inlet gas stream (2, 6, 9, 13, 16, 18, and 21 vol. %) are plotted in Figure 2(a) and (b), respectively. It is observed that PMMA leaves no residue after thermal decomposition regardless of the O2 content in the inlet gas stream (Figure 2(a)). Also, the onset time of thermal decomposition, as well as the time to ignition (TTI) and the time to extinction (TTE), increases when the O2 content decreases (Table 1). The increase in the TTI with the decrease in O2 content was also observed in Christy et al. 22 Figure 2(b) shows that the peak of mass loss rate (pMLR) decreases when the O2 content decreases in the flaming mode. Between 21 and 13 vol. % of O2, pMLR decreases from 0.284 to 0.223 g/s (−21%). However, pMLR remains constant, around 0.175 g/s, when the O2 content decreases in the nonflaming mode from 9 to 2 vol. % of O2.
Evolution of fire parameters with the O2 content for PMMA testing.
PMMA: polymethylmethacrylate; THR: total heat release; TTE: time to extinction; TTI: time to ignition.

Evolution of mass of PMMA at different O2 contents in the inlet gas stream (a) normalized mass and (b) mass loss rate.
In Figure 3, the HRR of PMMA at different O2 contents (from 16 to 21 vol. %) is plotted. When the O2 content decreases from 21 to 16 vol. %, the peak of heat release rate (pHRR) decreases from 489 to 386 kW/m2 (−20%) and the total heat release (THR) decreases from 130 to 113 MJ/m2 (−13%). The stabilization step after ignition is more noticeable for the HRR than for the MLR. Two factors may explain the differences in profiles over time between MLR and HRR, especially for the HRR: the residence time distribution in the gas phase and the response times of instruments used to measure CO, CO2, and O2 concentrations. To improve the dynamic HRR measurement based notably on CO, CO2, and O2 concentrations in the gas phase, the residence time distribution in the gas phase should be characterized in more detail than the mean residence time, defined as the ratio of pipe volume to volume flow, to obtain complete hydrodynamic data and help for improvement of data processing. In addition, the response times related to mass measurement using load cell are shorter than those of instruments measuring gas concentrations and flow velocity (response time up to 15 s using the paramagnetic sensor), which may also contribute to the difference in shape between MLR and HRR.

HRR of PMMA combustion at different O2 contents in the inlet gas stream.
The normalized mass and MLR of filled PVC as a function of time at different O2 contents in the inlet gas stream (2, 6, 9, 16, 18, 21 vol. %) are plotted as shown in Figure 4(a) and (b), respectively. Figure 4(a) shows that the amount of filled PVC residue after thermal decomposition increases when the O2 content decreases from 36.7% at 21 vol. % O2 to 40.4% at 2 vol. % O2. This result is consistent with the reduced oxidation of char at lower O2 concentrations. The onset time of filled PVC thermal decomposition, as well as the TTI (Table 2), is independent of the O2 content. Figure 4(b) shows that the pMLR decreases when the O2 content decreases in the flaming mode. Between 21 and 16 vol. % of O2, pMLR is decreased by 17%. However, pMLR remains constant at around 0.076 g/s when the O2 content decreases in the nonflaming mode between 9 and 2 vol. % of O2.
Evolution of fire parameters with the O2 content for filled PVC testing.
pHRR: peak of heat release rate; pMLR: peak of mass loss rate; PMMA: polymethylmethacrylate; PVC: polyvinylchloride; THR: total heat release; TTE: time to extinction; TTI: time to ignition.

Evolution of mass of filled PVC at different O2 contents in the inlet gas stream (a) normalized mass and (b) mass loss rate.
In Figure 5, the HRR of unfilled PVC at different O2 contents (from 16 to 21 vol. %) is plotted. When the O2 content decreases from 21to 16 vol. %, pHRR and THR do not show any trend variation (within the 10% margin error).

HRR of filled PVC combustion at different O2 contents in the inlet gas stream.
The equivalence ratios over time are given in Figure 6 for both materials. For the PMMA case around the pMLR, that is, at approximately 180 s, the equivalence ratio varies from 3.8 at 21 vol. % O2 to 2.9 at 13 vol. % O2. For the filled PVC case around the pMLR, that is, at approximately 50 s, the equivalence ratio varies from 1.8 at 21 vol. % O2 to 1.5 at 16 vol. % O2. Thus, the fire regime is then still under-ventilated on the equivalence ratio criterion regardless of the O2 content.

Evolution of equivalence ratio during PMMA (left) and filled PVC (right) burning at different O2 contents in the inlet gas stream.
Discussion
Figure 7(a) and (b) shows the variation of the normalized pMLR with the O2 content for PMMA and filled PVC, respectively. The dots represent normalized pMLR average values (pMLR values from Tables 1 and 2, at each O2 content by the corresponding value in normal O2 content, i.e. at 21 vol. %) and their respective standard deviations are represented by y—error bars.

Normalized peak of mass loss rate versus the O2 content for (a) PMMA, (b) unfilled PVC, and (c) filled PVC.
In the flaming mode, pMLR decreases linearly when the O2 content decreases for the three materials, whereas in the nonflaming mode, pMLR remains relatively constant when the O2 content decreases. Once the flame is set, an additional radiative heat flux is applied to the material. The value of this heat flux is estimated at around 15 kW/m2 for PMMA well-ventilated fires in the cone calorimeter. 39 This has the effect of increasing the material decomposition rate. As stated in Tewarson et al., 40 a lower O2 content strongly decreases the PMMA flame temperature and the combustion efficiency. The additional radiative heat flux received by the PMMA condensed phase is then decreased. On the other hand, the effect of O2 depletion on the condensed phase thermal decomposition has no effect since when a diffusion flame is present, the region above the condensed phase surface is deprived of O2 as the O2 is consumed by the flame.41,42
However, in the nonflaming mode, oxygen may have a direct effect on the condensed phase of the decomposing PMMA because of thermo-oxidative reactions. Though, the experimental results show that O2 has no significant effect on the thermal decomposition rate of PMMA and filled PVC. It may be explained by the fact that at high irradiance exposure such as 50 kW/m2, the gaseous products emission phenomenon resulting from in-depth thermolysis reactions overcomes the O2 diffusion phenomenon inside the PMMA material. 26 Then, the oxidative reactions occur only at the surface of the material and, as a result, are not significant to the decomposition rate.
The decrease of PMMA flame radiation in vitiated atmospheres has been highlighted in Santo and Tamanini, 20 and the same observations regarding the dependence of pMLR and pHRR toward the O2 content with PMMA are found in the literature.20–22,26 A comparison of the present work experimental values of pMLR and pHRR versus O2 content for PMMA with the mentioned bibliographic references values is made in Figure 8(a) and (b), respectively. In the flaming mode, the PMMA pMLR decreases linearly with the O2 content. All the studies that experimented the effect of vitiation with PMMA submitted to a 50 kW/m2 radiative heat flux give approximately the same slope in the pMLR decrease. The same study with a radiative heat flux of 30 kW/m2 gives a higher slope in the decrease of pMLR with the O2 content variation in the flaming mode. All of the data gathered regarding the influence of vitiation in the nonflaming mode indicate that there is no influence of the O2 content on pMLR. A few studies are dedicated to the effect of vitiation on the pHRR. Among the two studies reported in Figure 8(b) and the present work, all of the three series of data indicate that pHRR decreases also linearly with the O2 content and the slope seems to be independent of the radiative heat flux from 50 to 30 kW/m2.

Comparison of the present work experimental values with the literature for (a) pMLR vs O2 content and (b) pHRR vs O2 content.
In addition, the total heat release measured by O2 consumption method (THR in MJ/m2) has been also calculated and compared to the value based on chemical heat of combustion (THRmax) 43 for PMMA (heat of combustion: 24.2 MJ/kg) and filled PVC (heat of combustion: 13.6 MJ/kg): for PMMA, 130 MJ/m2 (THR at 21 vol.% O2) very close to 129 MJ/m2 (THRmax) and for filled PVC, 46.1 MJ/m2 (THR at 21 vol.% O2) with a difference to 57.8 MJ/m2 (THRmax), which could be related to the formation of a char residue and sample deformation, unlike PMMA, in CACC.
Effect of vitiation on evolved gases
Figure 9 shows the evolution of evolved gases during PMMA burning at two O2 contents. The temporal profiles of the velocity measured by Pitot tube in the 21 and 16 vol. % tests are close. So, direct comparisons of the concentration profiles obtained at different O2 concentrations are made. It is seen that, considering the experimental uncertainties, the O2 content seems to have no major effect on the CO2, CO, H2O, CH4, C2H4, C2H2, and C6H6 production, which makes that the [CO]/[CO2] (v/v) ratio remains quite constant (around 0.1–0.2) regarding the vitiation in under-ventilated flaming fires. CO2 is released at a concentration of approximately 60,000 ppmv and CO is released at a concentration peak of approximately 13,000 ppmv. H2O is released at a concentration of approximately 45,000 ppmv and CH4, C2H4, C2H2, and C6H6 are released at a concentration peak of approximately 5000, 2200, 2000, and 800 ppmv.

Evolution of evolved gases during PMMA burning at different O2 contents in the inlet gas stream.
Previously in Christy et al., 22 it was observed that the effect of vitiation when varying O2 content from 21 to 15 vol. % in well-ventilated conditions (1440 L/min of inlet flow rate) increases the [CO]/[CO2] (v/v) ratio of PMMA from 0.006 to 0.015. This trend is not observed in this present work because the vitiation effect is coupled with the under-ventilation effect. The insensitivity of both incomplete (CO, hydrocarbons) and complete (H2O, CO2) combustion product distributions to the O2 content at the constant flow rate occurs because there is not enough oxygen in the combustion environment to complete the process. Indeed, the equivalence ratio is globally larger than 1, that is, fuel-rich flame, and is not in steady state during the tests.
Figure 10 shows the evolution of evolved gases of burning filled PVC at three O2 contents. The O2 content seems to have no effect on the CO2, CO, H2O, CH4, C2H4, C2H2, C6H6, and HCl production, which makes the [CO]/[CO2] ratio also independent of the O2 content. CO2 is released at a concentration peak of approximately 14,000 ppmv and CO is released at a concentration peak of approximately 2500 ppmv. H2O is released at a concentration of approximately 15,000 ppmv and CH4, C2H4, C2H2, C6H6, and HCl are released at a concentration peak of approximately 300, 150, 200, 150, and 2500 ppmv.

Evolution of evolved gases during filled PVC burning at different O2 contents in the inlet gas stream.
Effect of vitiation on evolved aerosols
Size classes from ELPI measurement expressed in number of particles are gathered in Figures 10 and 11 to provide readable data: total amount of particles (classes 1–14) in the left figure and focus on intermediate-sized particles (classes 7–9) from 0.257 to 0.603 µm in the right figure. Figure 11 shows the evolution of evolved aerosols during PMMA burning at three O2 contents. The O2 content seems to have no major effect on both the total amount of aerosols released and their size distribution. The total amount of evolved aerosols during under-ventilated and vitiated burning of PMMA exhibit a stationary phase of around 2.5 × 108#/m3. At the end of the test during the HRR decreasing step, the high peaks observed for the total amount of particles could be related to the progressive extinction of the flame, generating aerosols.

Evolution of evolved aerosols during PMMA burning at different O2 contents in the inlet gas stream (left: total amount of particles, right: particles of aerodynamic diameter 0.257–0.603 µm).
Figure 12 shows the evolution of evolved aerosols of burning unfilled PVC at three O2 contents. In our experimental conditions, the O2 content has no major effect on both the total amount of aerosols released and their size distribution. The total amount of evolved aerosols during under-ventilated and vitiated burning of unfilled PVC is around 1.8 × 108#/m3.

Evolution of evolved aerosols during filled PVC burning at different O2 contents in the inlet gas stream (left: total amount of particles, right: particles of aerodynamic diameter 0.257–0.603 µm).
Conclusion
A bench-scale CACC has been developed for studying oxygen-depleted fires. It is versatile equipment that permits to control several parameters such as the inlet gas composition, its inlet flow rate and distribution into the enclosure, and thus yields repeatable data. The results presented for PMMA and filled PVC have been obtained in under-ventilated (fuel-rich flame) and vitiated regime to get complementary data to observation obtained in the ventilated regime. The confrontation between the literature and the data obtained performing tests with PMMA evidence that this bench-scale apparatus is reliable and trustable. The original results obtained for filled PVC give an insight into the heat released and the species produced simultaneously during a fire in advanced stages. PMMA and PVC-based materials do not exhibit the same reaction toward under-ventilation and vitiation. PMMA exhibits a flame extinction transition around 13 vol. % O2 whereas PVC-based material quench around 15 vol. % O2. In the under-ventilated flaming regime, vitiation decreases the mass loss rate of both PMMA (−20% of pMLR between 21% and 13 vol. % O2) and filled PVC (−17% of pMLR between 21% and 16 vol. % O2) linearly. Vitiation lowers the heat release rate linearly in the case of PMMA burning (−20% of pHRR between 21 and 16 vol.% O2), whereas it has no significant effect on the heat release rate in the case of PVC-based materials burning. However, vitiation in under-ventilated flaming regime has no major effect on the composition of gaseous species and the production of aerosols for both of the materials.
Footnotes
Declaration of conflicting interests
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Funding
The author(s) received no financial support for the research, authorship, and/or publication of this article.
