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Ignition and transition to flame spread over a thermally thin cellulosic sheet in a microgravity environment

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Abstract

An axisymmetric, time-dependent model is developed describing auto-ignition and subsequent transition to flame spread over a thermally-thin cellulosic sheet heated by external radiation in a quiescent microgravity environment. Due to the unique combination of a microgravity environment and low Reynolds number associated with the slow, thermally induced flow, the resulting velocity is taken as a potential flow. A one-step global gas phase oxidation reaction and three global degradation reactions for the condensed phase are used in the model. A maximum external radiant flux of 5 W/cm2 (Gaussian distribution) with 21%, 30%, and 50% oxygen concentrations is used in the calculations. The results indicate that autoignition is observed for 30% oxygen concentrations but the transition to the flame spread does not occur. For 50% oxygen the transition is achieved. A detailed discussion of the transition from ignition to flame spread is given as an aid to understanding this process. Also, a comparison is made between the axisymmetric configuration and a two-dimensional (line source) configuration.

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... For thick fuels, the heat-up term dominates the ignition delay, whereas the second term and third terms dominate for thin fuels. Ignition delay has been extensively studied, with excellent overviews written on the subject [1,[3][4][5][6], specific studies with thick fuels [7][8][9][10][11], radiative ignition of thin fuels [12][13][14], and models of the ignition processes [2,[14][15][16][17][18][19][20]. ...
... Thin fuel radiative ignition experiments have found that ignition delay decreases with increasing oxygen concentration [12][13][14] and increasing pressure [12] and ignition delay times can be seconds long even for thin fuels [12][13][14]. Thin fuel radiative ignition models have predicted that ignition delay decreases with increasing oxygen [15][16][17] but have not examined pressure variations. Slow flow affected experimental mixing times and thus ignition delay at lower oxygen concentration [13]. ...
... Kinetic theory states that for an mth order reaction, the reaction rate increases with both reactant concentration and pressure to the mth power [22]. Theoretical models of ignition of thin solid fuels generally assume a one step irreversible Arrhenius reaction [2,15,17,19] in the form ...
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This study numerically investigated spontaneous ignition in the middle of a vertically placed solid thin fuel heated by external radiation in a normal-gravity quiescent environment. The ambient oxygen mass fraction varied from 35% down to the nonignition limit. Numerical results indicate that, in the nonignition case, the maximum reaction rate and maximum temperature in the gas phase were too weak to achieve the combustion reaction. For ambient oxygen mass fraction exceeding 17%, the ignition and transition to flame spread are all achievable. The ignited flame lengthens and strengthens with decreasing ambient oxygen mass fraction. The rate of flame growth was found to exceed that of the purely opposed and purely concurrent spread flames. Although the ignited flame is smaller, the propagating flame in high ambient oxygen mass fraction becomes longer and stronger in structure than the low-oxygen flame after 2 s of flame growth time. Our results further demonstrate that the flame growth rate in transition increases with the mass fraction of ambient oxygen.
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We consider the transition from smoldering to flaming. Though there have been numerous experimental studies of this topic, it has been virtually untouched theoretically. Rather than investigating the details of either the transition process or the subsequent flaming, we focus on determining the mechanism and the conditions that trigger the transition. We employ both computation and approximate analytical approaches. We consider a planar, forward smolder wave driven by a constant forced flow of gas containing oxidizer. The chemical kinetic scheme employed consists of three reactions, namely, pyrolysis, fuel oxidation, and char oxidation. There have been a number of speculations about the nature of the triggering mechanism, including the gaseous reactions, the char oxidation reaction, destruction of the porous matrix through which the smolder wave propagates, and others. However, no mechanism has, as yet, been theoretically demonstrated to be capable of acting as the triggering mechanism. We show that the char oxidation reaction hardly affects the characteristics of smolder wave propagation due to its small reaction rate, though under appropriate conditions, it can act as the trigger for the transition to flaming due to its ability to self-accelerate. Specifically, we introduce the concept of, and then compute, a quantity that we term the flaming distance, LF. This is the distance that a steadily propagating smolder wave initiated at the gas flux inlet travels inside the porous medium before the char oxidation reaction spontaneously self-accelerates, resulting in an eruption of the temperature at the smolder front. That is, the smolder wave propagates for a relatively long latent period of time until it reaches LF. A transition to flaming then occurs. The flaming distance LF depends on the physicochemical parameters of the fuel and the products as well as external parameters: the velocity and composition of the incoming gas, heat loss, etc. We show that smolder waves propagating in porous samples of length L do (do not) exhibit a transition to flaming if LF<L (LF>L).
Article
A general formulation based on a weighting average procedure is developed for describing the fire-induced behaviour of a multiphase, reactive and radiative medium. The complete set of the resulting equations should be used as the basic one for later studies, especially in the framework of wildland fires. For the moment, in order to demonstrate the capability of the general formulation, a simplified model, named zeroth-order model, in which some physical phenomena (such as char combustion, second-order terms, particle motion) are neglected is presented. In the frame of this simplified model, reverse and forward one-dimensional fire propagations through an heterogeneous medium composed of fixed fuel particles are studied numerically.
Article
Enclosure effects on the transition from a localized ignition to subsequent flame growth over a thermally thin solid fuel in microgravity are numerically investigated by solving the low Mach number time-dependent Navier-Stokes equations. The numerical model solves the two and three dimensional, time-dependent, convective/diffusive mass, and heat transport equations with a one-step global oxidation reaction in the gas phase coupled to a three-step global pyrolysis/oxidative reaction system in the solid phase. Cellulosic paper is used as the solid fuel and is placed in a slow imposed flow parallel to the surface. Ignition is initiated across the width of the sample or at a small circular area by an external thermal radiation source. Two cases are examined; an open configuration (i.e., without any enclosure) and the case with the test chamber used in our previous microgravity experiments. Numerical results show that the upstream centerline flame spread rate for the case with the enclosure is faster than that for the case without any enclosure. This is due to the confinement of the flow field and also thermal expansion initiated by heat and mass addition in the chamber. The confinement accelerates the flow in the chamber, which enhances oxygen transport into the flame. In the three-dimensional configuration with the spot ignition, the flame growth in the direction perpendicular to the flow is significantly enhanced by the confinement effects. The effect of the enclosure is most significant at the slowest flow condition investigated and the effect becomes less important with an increase in imposed flow velocity. The total heat release rate from the flame during a flame growth period increases significantly with the confinement and the enclosure effects should be accounted to avoid underestimating fire hazard in a spacecraft.
Article
A numerical study was made on the time-dependent ignition process of a horizontally placed solid fuel heated by external radiation. As soon as the solid starts to be heated, a hot plume with combustible fuel is ejected into the oxygen-containing atmosphere to be mixed and to react leading to a spontaneous ignition. The effects of gravity and ambient oxygen concentration on the ignition behavior were studied. The numerical model is a two-dimensional axisymmetric configuration with time-dependent heat and mass transport process and one-step exothermic reaction for gas phase, and three-step degradative reactions for solid phase. An appropriate ignition criterion was introduced to define ignition delay time and position. It was found that an increase in the gravity tends to prevent the ignition by increasing heat loss from the hot fuel-gas plume, whereas an increase in the ambient oxygen concentration enhances the ignition by accelerating chemical reaction in the plume. The two distinct types of ignition were identified in gravity vs. ambient oxygen concentration plot; the first one occurs when the oxygen concentration is relatively high and is ignited at the tip of the plume with a short ignition delay time, while the second one occurs when the oxygen concentration is low and is ignited at the inside of the plume with a relatively long delay time. The former type of ignition was found to be controlled basically by 1-D heat and mass transport process, whereas the latter type is controlled by the 2-D process caused by buoyancy-induced flow.
Article
Three-dimensional (3-D) and two-dimensional (2-D) simulations of the transition from radiative ignition on a solid fuel to flame spread in an imposed wind were performed in microgravity. Two-dimensional flames were found to quench (due to poor oxygen supply) more easily (i.e., at larger wind speeds) than 3-D flames. Results from the 2- and 3-D simulations were compared during the transition phase at wind speeds that ultimately lead to quenching of the 2-D flame but survival of the 3-D flame. In all locations near and in the flame, oxygen mass flux was larger in the 3-D flames and dominated by diffusion (as opposed to convection). Oxygen was supplied to the core of the 3-D flame due to diffusion from the sides of the flame (in a cross-wind direction). Diffusion in the 2-D flame was limited to directions parallel to the wind. This cross-wind diffusion was most significant at early times during transition when the flame was small and had a relatively large curvature. The 3-D flame, therefore, required less oxygen supply from an external wind to undergo transition to flame spread. Once flame spread was established there was little difference between the 3-D flames (in the centerline plane) and 2-D flames, due to the decreased curvature of the three-dimensional flame relative to the curvature during ignition and transition.
Article
Typescript. Department of Mechanical and Aerospace Engineering. Thesis (Ph. D.)--Case Western Reserve University, 2000. Includes bibliographical references (leaves 156-159).
Article
The ultimate goal of this research is to extend the current understanding of the characteristics of spherical diffusion flames in microgravity. In particular, one of the key objectives is to assess the effects of gas radiation as a means to promote flame extinction. To investigate these phenomena, a one-dimensional computational model was developed to simulate the evolution of a spherical diffusion flame with consideration of detailed chemistry and transport properties. Various levels of radiation models were implemented and the results were compared with experimental measurements of flame radius and temperature profiles. It was shown that the statistical narrow band model (SNB) combined with the discrete ordinate method (DOM) reproduced the experimental results with highest accuracy, and this combination of the radiation models were adopted in the subsequent parametric studies. The parametric studies explored the relative effectiveness of fuel- and oxidizer-side dilution on the flame radius and temperature behavior, with nitrogen, CO2, and helium as diluents. In the spherical configuration considered in this study, the oxidizer-side dilution has a stronger effect on flame transient behavior than the fuel-side dilution, thereby suggesting a more effective means to induce flame extinction by dilution. Study on various oxidizer-side dilution cases shows that CO2 has a larger suppression effect than helium or nitrogen with the same dilution level. CO2 dilution has multiple effects on flame behavior including radiation, thermodynamic, diffusion, and chemical effects. Quantitative analysis shows that the radiation effect is the primary factor accounting for flame temperature drop by approximately 60%, as compared to the thermal/diffusion (30%), and chemical effect (10%). Considering the dominance of the radiative heat loss on flame extinction, a unified extinction criterion that applies to a wide range of parametric conditions was sought. The compiled computational results indicated that a critical flame temperature of 1130 K at extinction appears to be valid for most of the conditions under study. Therefore, it is concluded that extinction of spherical diffusion flame is primarily dictated by the local condition in the flame zone rather than by the volumetric radiative heat transfer in the surrounding gases.
Article
A new flammability apparatus and protocol, FIST (Forced Flow Ignition and Flame Spread Test), is under development. Based on the LIFT (Lateral Ignition and Flame Spread Test) protocol, FIST better reflects the environments expected in spacebased facilities. The final objective of the FIST research is to provide NASA with a test methodology that complements the existing protocol and provides a more comprehensive assessment of material flammability of practical materials for space applications. Theoretical modeling, an extensive normal gravity data bank and a few validation space experiments will support the testing methodology. The objective of the work presented here is to predict the ignition delay and critical heat flux for ignition of solid fuels in microgravity at airflow velocities below those induced in normal gravity. This is achieved through the application of a numerical model previously developed of piloted ignition of solid polymeric materials exposed to an external radiant heat flux. The model predictions will provide quantitative results about ignition of practical materials in the limiting conditions expected in space facilities. Experimental data of surface temperature histories and ignition delay obtained in the KC-135 aircraft are used to determine the critical pyrolysate mass flux for ignition and this value is subsequently used to predict the ignition delay and the critical heat flux for ignition of the material. Surface temperature and piloted ignition delay calculations for Polymethylmethacrylate (PMMA) and a Polypropylene/Fiberglass (PP/GL) composite were conducted under both reduced and normal gravity conditions. It was found that ignition delay times are significantly shorter at velocities below those induced by natural convection.
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A theoretical model describing radiative ignition of a solid fuel is constructed and is numerically analyzed. The model includes the effects of gas phase reaction and a finite value of the absorption coefficient of the solid (in-depth absorption of incident radiation). It is found that the gas phase reaction must be included in the model in order to understand radiative ignition of a solid fuel and to find its ignition boundary. The in-depth absorption of the incident radiation by a solid fuel significantly affects the ignition delay time. The results indicate that there is a finite range of values for pyrolysis or gas phase reaction activation energy for which ignition will occur. This finding has a direct bearing on efforts to reduce material ignitability.
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Attention is given to a theoretical model describing the behavior of a thermally thin cellulosic sheet heated by external thermal radiation in a quiescent microgravity environment. This model describes thermal and oxidative degradation of the sheet and the heat and mass transfer of evolved degradation products from the heated cellulosic surface into the gas phase. Two calculations are carried out: heating without thermal degradation, and heating with thermal degradation of the sheet with endothermic pyrolysis, exothermic thermal oxidative degradation, and highly exothermic char oxidation. It is shown that pyrolysis is the main degradation reaction. Self-sustained smoldering is controlled and severely limited by the reduced oxygen supply.
Article
A numerical analysis is conducted of the initiation and evolution of a combustion reaction generated by fuel vapor absorption of radiation over an evaporating combustible surface in an oxidizer stagnation point flow. The combustible is initially evaporating due to an externally applied irradiance, and is assumed to be in equilibrium vaporization. The transient, stagnation point, gas conservation equations, including one-step Arrhenius type kinetics and fuel vapor absorption of radiation, are solved numerically for the case of PMMA as combustible evaporating in air. Detailed calculations are presented, for a specific case of irradiance and flow velocity, of the evolution of the velocity field, and temperature and species concentration distributions during the ignition of the mixture, and subsequent establishment of a diffusion flame over the combustible surface. Ignition is characterized by thermal run-away of the gas and it is considered to have occurred if, after discontinuing the external irradiance, a self-sustained reaction is present. It is predicted that ignition occurs in the fuel-rich side of the mixing layer formed around the dividing streamlines of the fuel and oxidizer opposing stagnation flows. After ignition a premixed reaction front moves toward the lean side separating the fuel from the oxidizer and leaving behind a diffusion flame which eventually reaches steady conditions. A parametric study is also conducted on the effect of the flow velocity on the minimum irradiance for ignition and on the ignition time. It is predicted that the minimum irradiance for ignition increases approximately linearly with the velocity and that for a given velocity the ignition time decreases approximately inversely with the irradiance.
Article
This article describes experimental measurements of the structure of lean, premixed, laminar, flat flames of CH4/NO2/O2 and CH2O/NO2/O2 mixtures at 55 torr. The compositions of stable species in the flames were measured using a cooled quartz sampling microprobe and gas chromatographic analysis. The compositions of the intermediates OH, CN, CH, NH, and NH2 were measured by laser-induced fluorescence spectroscopy using an excimer laser pumped tunable dye laser system. Flames with only O2 as oxidizer were blue/violet due to C2 and CH emission or CO chemiluminescence. Flames with NO2 and O2 have two luminous zones, one yellow and the other blue/violet, separated by distinct, dark nonluminous zones. Nitrogen dioxide is a poor oxidizer in comparison to O2 and, therefore, rich mixtures with NO2 could not be stabilized. With CH4 as the fuel the products contain considerable unreacted NO2, along with NO and N2 whereas with CH2O as the fuel little N2 was formed. A partial reaction mechanism is discussed which accounts for the observations in the flame data.
Article
Radiative ignition experiments were conducted on PMMA and red oak using a CO2 laser with incident flux up to about 20 W/cm2 under autoignition and piloted ignition in air. The laser irradiated perpendicular to the horizontal sample surface. It was observed that there was strong attenuation of the incident laser radiation by the plume consisting of decomposition products in the gas phase. This was also observed using an electric coil heater as a radiant source. It is postulated that, under autoignition, PMMA ignites by the absorption of the incident radiation by the decomposition products in the gas phase, and red oak by a similar absorption at high-incident flux and at medium flux, aided by high surface temperature acting as an induced pilot.
Article
An analytical expression for gas-phase ignition is developed for a diffusion flame in the two-dimensional or axisymmetric stagnation-point boundary-layer flow of a hot oxidizing gas about a vaporizing condensed fuel surface. The analysis is based on the limit of large activation energy for a one-step, irreversible reaction describing the overall combustion process in the gas phase. The approach in this work, following that of our recent analysis on extinction for the same geometry, is to seek an exact correspondence of the parameters of the present problem with those of counterflow diffusion-flame problem of Liñán. Such a correspondence has been found in the frozen-flow regime and as a consequence, the asymptotic structure of the flame in the nearly frozen ignition regime is identical in both the problems. A particular result of this observation is the availability of an analytical criterion for ignition in the present problem. The analysis reveals that contrary to the case of extinction, fluid dynamic details do not have significant effect on the ignition criterion and that Liñán's results may be applied with good accuracy to the condensed fuel problem.
Article
Transmittance of external radiation from a CO2 laser through a boundary layer of decomposition products over a vertical sample surface is measured during the ignition period. The results indicate that there is significant absorption of the external radiation for PMMA, and a lesser but still not negligible amount, for red oak. An increase in gas phase temperature over surface temperature is observed over much of the ignition interval. Using the experimentally measured incident flux at the sample surface, surface temperature history was calculated from a model that included re-radiation and convection losses from the surface, endothermic decomposition and conduction into the material. The results confirm the significant effect of gas phase absorption on surface temperature. Steady-state-derived surface regression rate expression was used for PMMA in this model. The results raise questions about the validity of such data for the dynamic heating conditions during the ignition period. Further studies needed to understand the radiative ignition mechanism are identified.
Article
In an earlier paper an asymptotic analysis was presented for the radiant ignition of a solid fuel that gasifies endothermically then reacts exothermically in the gas phase through a one-step Arrhenius process. The theory was restricted to surface absorption of the incoming radiation and to ignitions occurring during the stage of transport-controlled gasification which follows the stage of transition to gasification. These two restrictions are removed in the present paper. Emphasis is placed on determining the ignition time, defined as the interval between initiation of irradiation and thermal runaway. It is shown that if the gas is sufficiently reactive then ignition can occur early in the stage of transition to gasification and that decreasing the absorptivity of the solid increases the ignition time. Comparisons are made with results of earlier numerical integrations, demonstrating the existence of regimes in which the ignition time depends strongly on the ignition criterion adopted. Graphs are given containing results of a parametric study for the ignition time.
Article
Flame spread over a thermally thick slab of PMMA at several angles of sample orientation from θ = −90° (vertically downward flame spread) to θ = +90° (vertically upward flame spread) in air was investigated by measuring temperature distributions within the PMMA sample in the vicinity of the leading edge of the flame front using holographic interferometry. Samples with widths of 0.32, 0.47, 1.0, and 2.5 cm, a thickness of 2.5 cm, and a length of 30 cm were used. The measured net heat flux from the gas phase to the sample surface at the vaporization front of the sample is about 7 W/cm2 for downward flame spread (θ < 0δ), 6.5 W/cm2 at θ = + 10°, and 2.8 W/cm2 at θ = + 90°. However, the total net heat transfer rate increases with an increase in the angle of sample orientation, because the characteristic heating length, defined as the distance from the adiabatic point on the sample surface to the vaporization point, increases with an increase in the orientation angle of the sample. The total net heat transfer rate into the sample from the gas phase is about 56% of the total net heat transfer input to the sample at θ = − 90°, 78% at θ = 0°, 87% at θ = + 10°, and 99% at θ = + 90°. Therefore, heat transfer from the gas phase into the unburnt fuel ahead of the vaporization point is the dominant heat tranfer path for all angles of orientation. This was clearly demonstrated by the net heat flow vector patterns within the sample. The streamwise conductive heat transfer rate through the sample decreases with an increase in flame spread rate (increase in the sample orientation angle) due to insufficient time being available for the slow thermal wave to travel through the sample.
Article
Values of global kinetic constants for pyrolysis, thermal oxidative degradation, and char oxidation of a cellulosic paper were determined by a derivative thermal gravimetric study. The study was conducted at heating rates of 0.5, 1, 1.5, 3, and 5°C/min in ambient atmospheres of nitrogen, 0.28%, 1.08%, 5.2% oxygen concentrations, and air. Sample weight loss rate, concentrations of CO, CO2, and H2O in the degradation products, and oxygen consumption were continuously measured during the experiment. Values of activation energy, pre-exponential factor, orders of reaction, and yields of CO, CO2, H2O, total hydrocarbons, and char for each degradation reaction were derived from the results. Heat of reaction for each reaction was determined by differential scanning calorimetry. A comparison of the calculated CO, CO2, H2O, total hydrocarbons, sample weight loss rate, and oxygen consumption was made with the measured results using the derived kinetic constants and accuracy of the values of kinetic constants was discussed.
Article
Several steady state and time-dependent solutions to the compressible conservation laws describing direct one-step near-equilibrium irreversible exothermic burning of initially unmixed gaseous reactants, with Lewis-Semenov number unity, are presented. The quantitative investigation first establishes the Burke-Schumann thin-flame solution using the Shvab-Zeldovich formulation. Real flames do not have the indefinitely thin reaction zone associated with the Burke-Schumann solution. Singular perturbation analysis is used to provide a modification of the thin-flame solution which includes a more realistic reaction zone of small but finite thickness. The particular geometry emphasized is the un bounded counterflow such that there exists a spatially constant rate of strain along the flame. While the solutions for diffusion flames under a finite tangential strain rate may be of interest in and of themselves for laminar flow, the problems are motivated by the authors' belief that they are pertinent to the study of diffusion-flame burning in transitional and turbulent shear flows.
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Expert systems are problem-solving programs that combine a knowledge base and a reasoning mechanism to simulate a human expert. The development of an expert system to manage fire safety in spacecraft, in particular the NASA Space Station Freedom, is difficult but clearly advantageous in the long-term. Some needs in low-gravity flammability characteristics, ventilating-flow effects, fire detection, fire extinguishment, and decision models, all necessary to establish the knowledge base for an expert system, are discussed.
Article
A numerical investigation of the transonic twodegree -of-freedom bending/torsion flutter characteristics of the NLR 7301 section is presented using a time domain method. An unsteady, two-dimensional, compressible, thin-layer Navier-Stokes flow-solver is coupled with a two-degree-of-freedom structural model. Furthermore, the Baldwin-Lomax, the Baldwin-Barth and the Spalart-Allmaras turbulence models are implemented, each in conjunction with the transition model of Gostelow et al. The transition onset location can either be predicted with Michel's criterion or specified as an input parameter. Computations of the steady transonic aerodynamic characteristics show good agreement with the experimental results using the BaldwinBarth or the Spalart-Allmaras model in combination with transition modeling. The aeroelastic computations predict limit-cycle flutter in agreement with the experiment. However, the computed flutter amplitudes are an order of magnitude larger than the measured ones. NOM...