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Showing papers on "Diffusion flame published in 1977"


Journal ArticleDOI
F.G. Roper1
TL;DR: In this article, the authors modify the Burke-Schumann theory of diffusion flame size to satisfy continuity when the mass velocity of the fuel gas is not constant, and apply it to flames with equilibrium-broadened reaction zones.

381 citations


Journal ArticleDOI
TL;DR: In this article, it is shown that diffusion flame size can be predicted for two different burner geometries (circular and slotted ports) by taking the diffusion coefficient of oxygen at a characteristic flame temperature of 1500 K. The transition between the two regimes occurs when the modified Froude number is approximately one.

288 citations


01 Jan 1977
TL;DR: In this paper, a description of the turbulent diffusion flame is proposed in which the flame structure is composed of a distribution of laminar diffusion flame elements, whose thickness is small in comparison with the large eddies.
Abstract: A description of the turbulent diffusion flame is proposed in which the flame structure is composed of a distribution of laminar diffusion flame elements, whose thickness is small in comparison with the large eddies. These elements retain their identity during the flame development; they are strained in their own plane by the gas motion, a process that not only extends their surface area, but also establishes the rate at which a flame element consumes the reactants. Where this flame stretching process has produced a high flame surface density, the flame area per unit volume, adjacent flame elements may consume the intervening reactant, thereby annihilating both flame segments. This is the flame shortening mechanism which, in balance with the flame stretching process, establishes the local level of the flame density. The consumption rate of reactant is then given simply by the product of the local flame density and the reactang consumption rate per unit area of flame surface. The proposed description permits a rather complete separation of the turbulent flow structure, on one hand, and the flame structure, on the other, and in this manner permits the treatment of reactions with complex chemistry with a minimum of added labor. The structuremore » of the strained laminar diffusion flame may be determined by analysis, numerical computation, and by experiment without significant change to the model.« less

221 citations


Journal ArticleDOI
TL;DR: In this article, a transformation of the species conservation equations is used to analyse experimental data on laminar diffusion flames to obtain chemical reaction rates, using only composition and temperature measurements, the velocity field not being required.

213 citations


ReportDOI
01 Jan 1977
TL;DR: In this article, a description of the turbulent diffusion flame is proposed in which the flame structure is composed of a distribution of laminar diffusion flame elements, whose thickness is small in comparison with the large eddies.
Abstract: A description of the turbulent diffusion flame is proposed in which the flame structure is composed of a distribution of laminar diffusion flame elements, whose thickness is small in comparison with the large eddies. These elements retain their identity during the flame development; they are strained in their own plane by the gas motion, a process that not only extends their surface area, but also establishes the rate at which a flame element consumes the reactants. Where this flame stretching process has produced a high flame surface density, the flame area per unit volume, adjacent flame elements may consume the intervening reactant, thereby annihilating both flame segments. This is the flame shortening mechanism which, in balance with the flame stretching process, establishes the local level of the flame density. The consumption rate of reactant is then given simply by the product of the local flame density and the reactang consumption rate per unit area of flame surface. The proposed description permits a rather complete separation of the turbulent flow structure, on one hand, and the flame structure, on the other, and in this manner permits the treatment of reactions with complex chemistry with a minimum of added labor. The structure of the strained laminar diffusion flame may be determined by analysis, numerical computation, and by experiment without significant change to the model.

196 citations


Journal ArticleDOI
01 Jan 1977
TL;DR: In this paper, a new expression for the time-average reaction rate in a turbulent flame, whether of uniform or non-uniform fuel-air ratio, is presented, based on the idea of coherent gas "parcels", which are subjected to a stretching process while reaction and small-scale mixing take place.
Abstract: A new expression is presented for the time-average reaction rate in a turbulent flame, whether of uniform or non-uniform fuel-air ratio. It is based on the idea of coherent gas “parcels,” which are subjected to a stretching process while reaction and small-scale mixing take place. The expression has been used for the prediction of flame spread behind a baffle, and for the turbulent diffusion flame. An outline is given of a more complete theory, still under development.

150 citations


Patent
05 Apr 1977
TL;DR: A combustor for a gas turbine engine which includes a fuel nozzle at the head end of the combustor, to provide a diffusion flame, and downstream inlet means at a plurality of axial dimensions of a combustor to inject pre-mixed lean fuel/air into the combustion chamber for admission downstream from the diffusion flame resulting in a series of low temperature premixed flames to provide relatively high turbine inlet temperatures from the combustors with a minimum of thermally formed NOx compounds as discussed by the authors.
Abstract: A combustor for a gas turbine engine which includes a fuel nozzle at the head end of the combustor, to provide a diffusion flame, and downstream inlet means at a plurality of axial dimensions of the combustor to inject pre-mixed lean fuel/air into the combustor for admission downstream from the diffusion flame resulting in a series of low temperature premixed flames to provide relatively high turbine inlet temperatures from the combustor with a minimum of thermally formed NOx compounds.

130 citations


Journal ArticleDOI
TL;DR: In this paper, a correlation of laminar flame speed, quenching diameter, and lean limit flame temperature is developed, which suggests that the characteristic length for heat loss is the flame thickness.

114 citations


Journal ArticleDOI
TL;DR: In this article, the authors measured the flame speeds of ethanol and n-octane mixtures of mono-sized droplets, vapor and air to study the fundamental aspects of spray combustion, and the state of the mixtures, which were prepared in an apparatus similar to the Wilson cloud chamber, was experimentally verified in detail.
Abstract: Abstract-Flame speeds of ethanol and n-octane mixtures of mono-sized droplets, vapor and air have been measured to study the fundamental aspects of spray combustion. The state of the mixtures, which were prepared in an apparatus similar to the Wilson cloud chamber, was experimentally verified in detail. A rugged, undulated and thickened flame front with the cellular structure is peculiar to the flame propagation in the mixtures containing large droplets and is in sharp contrast to the smooth and continuous flame front observed with premixed gas mixtures or mixtures containing droplets of much smaller size. This difference in the flame structure, caused by the heterogeneous nature of the unburned mixture, can explain the observation that the burning velocity in a droplet-vapor-air mixture is larger than in a homogeneous mixture of the same overall fuel-air ratio, even on the lean side of the stoichiometric point, provided that the droplet diameter is large enough. Another aspect of the flame propa...

112 citations


Journal ArticleDOI
TL;DR: In this paper, a theory for predicting the steady rate of spread of a flame over the surface of a solid in directions ranging from downward to horizontal is developed. But the model is based on a diffusion flame in a boundary layer downstream from a point of flame inception, heat transfer by natural convection from this flame to the gasifying fuel which supports it, heat conduction through the solid to the cooler fuel ahead of the flame, generation of an upstream boundary layer due to entrainment into the flame plume, upstream gasification and diffusion of fuel into this boundary layer,

104 citations


Journal ArticleDOI
TL;DR: In this article, a technique for the measurement of the statistics of the temperature fluctuation, notably probability density function and power spectrum, in turbulent diffusion flames which employs fine wire thermocouples, compensated for the effects of thermal inertia, is assessed.
Abstract: A technique for the measurement of the statistics of the temperature fluctuation, notably probability density function and power spectrum, in turbulent diffusion flames which employs fine wire thermocouples, compensated for the effects of thermal inertia, is assessed. Measurements made in an open turbulent methane diffusion flame are reported and compared, from the standpoint of identifying the interaction between measurement technique and turbulent flame structure, with simple model predictions. The flame-intermittent zone is seen to be characterised by large fluctuations in temperature and velocity which lead to significant local variations in heat transfer to the thermocouple and hence in its time constant. Attention is therefore focussed on an assessment of the impact on measured temperature statistics of both the level of compensation and the manner it is effected. Techniques involving electrical networks and computational procedures are discussed.

01 Jun 1977
TL;DR: In this article, a high pressure flame system was designed and constructed for studying nitrogen oxide formation in fuel air combustion, and its advantages and limitations were demonstrated by tests with a confined laminar methane air diffusion flame over the pressure range from 1 to 50 atm.
Abstract: A high pressure flame system was designed and constructed for studying nitrogen oxide formation in fuel air combustion. Its advantages and limitations were demonstrated by tests with a confined laminar methane air diffusion flame over the pressure range from 1 to 50 atm. The methane issued from a 3.06 mm diameter port concentrically into a stream of air contained within a 20.5 mm diameter chimney. As the combustion pressure is increased, the flame changes in shape from wide and convex to slender and concave, and there is a marked increase in the amount of luminous carbon. The height of the flame changes only moderately with pressure.

Journal ArticleDOI
TL;DR: In this paper, a generalized model for a flame propagating in laminar, premixed particle-gas mixtures was formulated, assuming particlegas dynamic equilibrium and uniform pressure, and the unsteady state equations were solved numerically using finite-difference techniques.

Journal ArticleDOI
TL;DR: Gaseous and particulate absorption for a nonhomogeneous medium is considered both analytically and experimentally in this paper, where a simple peak partial pressure and peak temperature scaling method applicable to combustion zones is successfully employed for non-homogeneous intensity calculations.

Journal ArticleDOI
TL;DR: In this paper, the authors extended existing combustion modelling for diffusion and for premixed turbulent reacting flows to handle the general case of combined diffusion and premixed reaction, intended for engineering use and combines a degree of simplicity, in recognition of the stringent demands of computer economy.

Journal ArticleDOI
01 Jan 1977
TL;DR: In this article, the authors examined the extent to which the above conclusions are valid, that is, whether the similarity between the spray combustion flame and the turbulent gas diffusion flame also exists in nitric oxide formation.
Abstract: In previous studies, the authors conducted experiments on spray combustion flames of axial jets of kerosene under comparatively low turbulence conditions. The results showed that droplets within the flames do not burn individually with envelope flames, but that a cloud of fuel vapor generated by them burns as a turbulent gas diffusion flame, and that the spray combustion flame is very similar to the turbulent gas diffusion flame in structure. The present study is intended to examine the extent to which the above conclusions are valid, that is: (1) whether the similarity between the spray combustion flame and the turbulent gas diffusion flame also exists in nitric oxide formation; (2) whether the above conclusions can be applied to the flame of a low volatile heavy oil. In the radial distribution within the kerosene flame, the profile of NO concentration showed two peaks symmetrical with respect to the flame axis. These peaks coincide approximately with the peaks of the temperature profile, and with the points where the local equivalence ratio is unity. The above tendency is the same as in the turbulent gas diffusion flame and confirms that the spray combustion flame is also similar to the turbulent gas diffusion flame in the NO formation process. Next, a heavy oil flame was experimentally compared with a kerosene flame under the same condition. The result showed that the shape and the measured profiles of various quantities were almost the same for both flames. This shows that the heavy oil flame does not differ significantly in structure from the kerosene flame under the conditions of this experiment.

Journal ArticleDOI
01 Jan 1977
TL;DR: In this article, an experimental study was made of the structure of rich fuel-air flames established in the forward stagnation region of a porous cylinder, from the surface of which premixed methane and air were ejected into a uniform air stream (the secondary air).
Abstract: An experimental study was made of the structure of rich fuel-air flames established in the forward stagnation region of a porous cylinder, from the surface of which premixed methane and air were ejected into a uniform air stream (the secondary air). Aerodynamic, temperature, and stable species concentration profiles were measured for flames at atmospheric pressure. These distributions were analyzed to yield the reaction-rate profiles of stable species throughout the flame zone. The stabilized flame is really a double flame. For the equivalence ratioof the ejected mixture >2.7, the stagnation point lies between the inner flame and the cylinder surface, and net reaction-rate profiles of various species are similar to those of a pure diffusion flame. Therefore, for >2.7, the flame can be treated essentially as a diffusion flame. For mixtures inside the rich limit of flammability ( For Besides the rich limit of flammability usually defined, there is another limit of flame propagation. In the mixture beyond this limit a flame will never propagate. This limit can be regarded as fundamental in the sense that it depends only on the internal properties of the mixture. The equivalence ratio of this limit is 2.7 for methane-air mixture.

Journal ArticleDOI
TL;DR: In this paper, a physically realistic model of the effect of crossflow on composite propellant combustion, based on the bending of columnar diffusion flames by the crossflow, is presented.
Abstract: : Development of solid rocket motor designs which result in high velocity flows of product gases across burning propellant surfaces(notably, nozzleless rocket motors) is leading to increased occurrence of erosive burning. In this paper, a physically realistic picture of the effect of such crossflow on composite propellant combustion, based on the bending of columnar diffusion flames by the crossflow, is presented. This bending results in shifting of the diffusion flame heat release zone toward the surface, with consequent increased heat feedback flux from this flame to the surface and thus increased burning rate. A relatively simple analytical model based on this picture is developed for prediction of propellant burnings rate as a function of pressure and crossflow velocity, given only zero-crossflow burning rate versus pressure data. Model predictions and experimental results are compared, with reasonably good agreement being found. (Author)

Journal ArticleDOI
01 Jan 1977
TL;DR: In this article, the role of buoyancy in laminar gas jet diffusion flames of hydrogen, methane, ethane, and propane, stabilized on small cylindrical burners, was investigated at elevated gravity in a centrifuge.
Abstract: Laminar gas jet diffusion flames of hydrogen, methane, ethane, and propane, stabilized on small cylindrical burners, were studied at elevated gravity in a centrifuge to investigate the role of buoyancy in such flames. Photographic observation of the hydrocarbon flames indicated that length and carbon luminosity decreased with increasing buoyancy. These flames eventually separated from the burner rim and finally extinguished as gravity increased. Hydrogen flames, however, did not separate or extinguish up to about 31 times earth normal gravity. Length data are reported and interpreted with the aid of a simplified model which describes the flame as a heated vertical cylindrical sheet to which oxygen is supplied by a free convection boundary layer.

Journal ArticleDOI
01 Jan 1977
TL;DR: In this article, a simple entrainment model is proposed which leads to the determination of these flame characteristics, to within two unknown parameters to be determined from experiments, and the principal consequence of the model is the prediction that the rise height and the maximum diameter of the flame vary as the 1/3 power of the initial volume of vapor cloud.
Abstract: The rapid accidental escape of a combustible vapor into open surroundings can produce a cloud of gas which can burn as an unsteady, turbulent diffusion flame if ignited at its edge. In such a flame, buoyancy forces induce a mixing of the fuel with air, promoting combustion which ultimately consumes the initial fuel charge. This paper considers three principal characteristics of such a combustion process: the flame height, the time to complete combustion, and the maximum diameter of the flame. A simple entrainment model is proposed which leads to the determination of these flame characteristics, to within two unknown parameters to be determined from experiments. The principal consequence of the model is the prediction that the rise height and the maximum diameter of the flame vary as the 1/3 power of the initial volume of vapor cloud, while the combustion time varies as the 1/6 power. Experimental observations of the burning of small (laboratory scale) vapor samples are described. The experimental observations were lognormally distributed about a mean line whose slope conformed with the scaling laws derived from the theoretical model. From the mean line, the unknown parameters were determined. Within the limits of the laboratory experiments, the principal flame characteristics are nearly independent of the initial conditions of the vapor cloud and also of the fuel type, and are adequately correlated by the equations given by the theoretical model.

Journal ArticleDOI
TL;DR: In this paper, a model of flame behavior in closed vessels has been formulated, which takes into account the complete motion equation and the heat losses by the flame to the surroundings, and the model forecasts two possible mechanisms of flame failure: the "homogeneous" flame extinction due to the exchanges of the rising flame towards the unburned gases and the "heterogeneous" extinction because of conductive heat losses to the walls after flame impingement on the vessel top.
Abstract: Abstract-Flame propagation in near-limit mixtures of ethylene and air has been investigated by using a spherical vessel. A model of the flame behavior in closed vessels has been formulated, which takes into account the complete motion equation and the heat losses by the flame to the surroundings. The model forecasts two possible mechanisms of flame failure: the "homogeneous" flame extinction due to the exchanges of the rising flame towards the unburned gases, and the "heterogeneous" extinction due to conductive heat losses to the walls after flame impingement on the vessel top. The theory and the experimental data fairly agree; in particular the dependence of the measured "heterogeneous" limit on the igniter position is explained.

Journal ArticleDOI
TL;DR: In this paper, an experimental and theoretical investigation of the interaction of gaseous thermal radiation with natural convection was made for a laminar methane-air diffusion flame in the lower stagnation region of a horizontal porous cylinder.
Abstract: An experimental and theoretical investigation of the interaction of gaseous thermal radiation with natural convection was made for a laminar methane-air diffusion flame in the lower stagnation region of a horizontal porous cylinder. The exponential wide-band gas radiation model was employed in this nonhomogeneous (nonuniform in temperature and composition) problem through the use of scaling techniques. Using a numerical scheme, the compressible energy, flow, and species-diffusion equations were solved simultaneously with and without the radiative component. In the experiment, methane was blown uniformly from the surface of the porous cylinder, setting up (upon ignition) a diffusion flame within the free-convection boundary layer. Using a Mach-Zehnder interferometer and a gas chromatograph, temperature and composition measurements were obtained along the stangation line. Excellent agreement was found between the results based the the nongray wide-band model and the experimental data. Furthermore, it was found that the wide-band model yielded results that were superior to those results that excluded radiation-interaction effects. Thus, this study demonstrates that the exponential wide-band model can be accurately applied to nonhomogeneous combustion situations in order to account for the radiation-convection interactions. 10 figures, 4 tables, 31 references.

Journal ArticleDOI
TL;DR: In this paper, an analytical model was constructed which relates the emitted spectral intensity to the local temperature and radiating species concentration within the gas, leading to a series of integral equations, one for each frquency at which data are taken.

Journal ArticleDOI
A. M. Mellor1
TL;DR: In this paper, Gaseous pollutant emissions from conventional diffusion flame T-63 combustors are correlated as functions of combustor geometry and inlet conditions in terms of a characteristic time model.
Abstract: Gaseous pollutant emissions from conventional diffusion flame T-63 combustors are correlated as functions of combustor geometry and inlet conditions in terms of a characteristic time model. New aspects of the present study show partial inclusion of effects of alternate fuel properties, suggest a generalization of the Lipfert NO/sub x/ correlation, compare advanced film injected and prevaporizing/premixing with conventional combustors, and demonstrate a quantitative relation between emissions of unburned hydrocarbons and CO. 9 figures, 4 tables.

Journal ArticleDOI
TL;DR: In this article, the opposed-jet diffusion flame has been considered with four-step reaction kinetics for hydrogenoxygen system and the relative importance of different reaction steps have been brought out in different regions (unstable, near extinction and equilibrium).
Abstract: The opposed-jet diffusion flame has been considered with four step reaction kinetics for hydrogenoxygen system. The studies have revealed that the flame broadening reduces and maximum temperature increases as pressure increases. The relative importance of different reaction steps have been brought out in different regions (unstable, near extinction and equilibrium). The present studies have also led to the deduction of the oveall reaction rate constants of an equivalent single step reaction using matching of a certain overall set of parameters for four step reaction scheme and equivalent single step reaction.


Journal ArticleDOI
TL;DR: In this article, a theory of flame spread above solid fuel beds of finite or infinite thickness is considered, where heat transfer ahead of the flame is allowed through both the solid and gas phases.

Journal ArticleDOI
TL;DR: The effects of diluent addition on the flame structure can be attributed primarily to changes in concentrations of various species rather than to the changes in temperature as mentioned in this paper, and the problems of using flue gas recirculation in large combustion systems are indicated.
Abstract: Abstract-Data are presented on the structure of propane diffusion flames burning in a concentric stream of air, with and without the addition of diluents (carbon dioxide and nitrogen) to the fuel jet and air stream. The flame length and the fraction of heat release radiated are documented as functions of diluent concentrations in fuel jet and air stream. The effects of diluent addition on the temperature profiles, composition profiles showing species CO2, H2O, CO, N2, O2, C3H8,NO and pyrolysis species of C3H8 and axial profiles of radiant power emitted are also presented. The results show that the diluents reduce flame length, stability, radiation and concentrations of nitric oxide in the flames. The effects of diluents on the flame structure can be attributed primarily to the changes in concentrations of various species rather than to the changes in temperature. The problems of using flue gas recirculation in large combustion systems are indicated.

Journal ArticleDOI
TL;DR: In this paper, an investigation of the two-dimensional supersonic jet interaction flowfield with and without chemical heat release is presented, and the spontaneous ignition limits of the bulk flame produced far downstream are determined.
Abstract: Theme I N this paper, an investigation of the two-dimensional supersonic jet interaction flowfield with and without chemical heat release is presented, and the spontaneous ignition limits of the bulk flame produced far downstream are determined. Highly underexpanded hydrogen and nitrogen jets are injected from a converging slot nozzle perpendicular to the supersonic vitiated air stream, at various airstream and injectant conditions. The parameters varied during the experiments include the airstream stagnation temperature and oxygen concentration, and the injection pressure. The temperature profiles and the Schlieren photographs of the resulting flowfield with chemical heat release are compared with those of nonreacting case. From these results, the ignition mechanism of supersonic diffusion flame and the extent to which chemical heat release changes the jet interaction flowfield are discussed.

Proceedings ArticleDOI
24 Jan 1977
TL;DR: In this article, a simple model of a hydrocarbon turbulent diffusion flame in a horizontal subsonic cross flow of air is described, where the flame is modeled as a bent-over initially vertical circular jet with top-hat profiles of composition, temperature, and velocity.
Abstract: This paper describes a simple model of a hydrocarbon turbulent diffusion flame in a horizontal subsonic cross flow of air. The flame is modeled as a bent-over initially vertical circular jet with top-hat profiles of composition, temperature, and velocity. The hydrocarbon pyrolyzes in a zero-order reaction and the pyrolysis products are oxidized at a rate proportional to the rate of entrainment of air into the flame. Entrainment is modeled by the two-component law developed in connection with buoyant chimney plumes. Three parameters (the pyrolysis time T, the proportionality factor between the rate of entrainment and the rate of oxidation g, and the entrainment constant a) are evaluated by comparison with data obtained in wind-tunnel experiments. The closed-form solution of the limiting case of the governing equation provides useful information on the shape of the flame near the nozzle, on the physical significance of g, and on the effects of scaling on the relative influences of initial momentum and buoyancy. The numerical solutions of the full governing equations show that the model reproduces some of the principal trends in the variation of flame shape and length with aerodynamic parameters.