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Journal articles on the topic 'Burke-Schumann'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Greenberg, J. B., and F. Grodek. "Curvature Effects in Burke-Schumann Spray Flame Extinction." AIAA Journal 41, no. 8 (August 2003): 1507–13. http://dx.doi.org/10.2514/2.2101.

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2

Weiss, Adam D., Wilfried Coenen, Antonio L. Sánchez, and Forman A. Williams. "The acoustic response of Burke–Schumann counterflow flames." Combustion and Flame 192 (June 2018): 25–34. http://dx.doi.org/10.1016/j.combustflame.2018.01.039.

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3

CHAO, B. H., and R. L. AXELBAUM. "Triaxial Burke-Schumann Flames with Applications to Flame Synthesis." Combustion Science and Technology 156, no. 1 (July 2000): 291–314. http://dx.doi.org/10.1080/00102200008947307.

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4

Illingworth, Simon J., Iain C. Waugh, and Matthew P. Juniper. "Finding thermoacoustic limit cycles for a ducted Burke-Schumann flame." Proceedings of the Combustion Institute 34, no. 1 (January 2013): 911–20. http://dx.doi.org/10.1016/j.proci.2012.06.017.

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5

CHAOS, MARCOS, RUEY-HUNG CHEN, ERIC J. WELLE, and WILLIAM L. ROBERTS. "FUEL LEWIS NUMBER EFFECTS IN UNSTEADY BURKE–SCHUMANN HYDROGEN FLAMES." Combustion Science and Technology 177, no. 1 (December 23, 2004): 75–88. http://dx.doi.org/10.1080/00102200590883660.

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6

Greenberg, J. B. "The Burke-Schumann diffusion flame revisite—With fuel spray injection." Combustion and Flame 77, no. 3-4 (September 1989): 229–40. http://dx.doi.org/10.1016/0010-2180(89)90131-4.

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7

Ahn, Myunggeun, Daehong Lim, Taesung Kim, and Youngbin Yoon. "Pinch-off process of Burke–Schumann flame under acoustic excitation." Combustion and Flame 231 (September 2021): 111478. http://dx.doi.org/10.1016/j.combustflame.2021.111478.

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8

Khosid, S., and J. B. Greenberg. "The Burke-Schumann spray diffusion flame in a nonuniform flow field." Combustion and Flame 118, no. 1-2 (July 1999): 13–24. http://dx.doi.org/10.1016/s0010-2180(98)00156-4.

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9

JIA, X., and R. W. BILGER. "The Burke-Schumann Diffusion Flame With Zero Net Flux Boundary Conditions." Combustion Science and Technology 99, no. 4-6 (September 1994): 371–76. http://dx.doi.org/10.1080/00102209408935441.

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10

Sohn, Kang-Ho, Zvi Rusak, and Ashwani K. Kapila. "Effect of near-critical swirl on the Burke-Schumann reaction sheet." Journal of Engineering Mathematics 54, no. 2 (January 3, 2006): 181–96. http://dx.doi.org/10.1007/s10665-005-9014-1.

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11

Lee, S. R., and S. H. Chung. "Effect of streamwise and preferential diffusion on cylindrical Burke-Schumann flames." KSME Journal 5, no. 1 (March 1991): 45–52. http://dx.doi.org/10.1007/bf02945150.

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12

Nayagam, Vedha, Daniel L. Dietrich, and Forman A. Williams. "A Burke–Schumann analysis of diffusion-flame structures supported by a burning droplet." Combustion Theory and Modelling 21, no. 4 (February 16, 2017): 646–57. http://dx.doi.org/10.1080/13647830.2017.1280182.

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13

LI, S. C., A. S. GORDON, and F. A. WILLIAMS. "A Simplified Method for the Computation of Burke-Schumann Flames in Infinite Atmospheres." Combustion Science and Technology 104, no. 1-3 (January 1995): 75–91. http://dx.doi.org/10.1080/00102209508907711.

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14

Nayagam, Vedha, Daniel L. Dietrich, and Forman A. Williams. "A Burke-Schumann analysis of dual-flame structure supported by a burning droplet." International Communications in Heat and Mass Transfer 87 (October 2017): 84–89. http://dx.doi.org/10.1016/j.icheatmasstransfer.2017.06.016.

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15

Kim, Taesung, Myunggeun Ahn, Jeongjae Hwang, Seongheon Kim, and Youngbin Yoon. "The experimental investigation on the response of the Burke–Schumann flame to acoustic excitation." Proceedings of the Combustion Institute 36, no. 1 (2017): 1629–36. http://dx.doi.org/10.1016/j.proci.2016.06.116.

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16

Gusachenko, L. K. "Use of the burke?schumann diffusion flame solution for description of combustion of solids." Combustion, Explosion, and Shock Waves 21, no. 2 (March 1985): 166–70. http://dx.doi.org/10.1007/bf01463729.

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17

Hepler, William A., and Owen I. Smith. "Numerical simulation study of a hydrazine/nitrogen dioxide diffusion flame in a Burke-Schumann burner." Symposium (International) on Combustion 22, no. 1 (January 1989): 1799–806. http://dx.doi.org/10.1016/s0082-0784(89)80193-6.

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18

Im, H. G., C. K. Law, and R. L. Axelbaum. "Opening of the burke-schumann flame tip and the effects of curvature on diffusion flame extinction." Symposium (International) on Combustion 23, no. 1 (January 1991): 551–58. http://dx.doi.org/10.1016/s0082-0784(06)80302-4.

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19

Greenberg, J. B., and D. Katoshevski. "The influence of droplet grouping on a Burke-Schumann spray diffusion flame in an oscillating flow field." Proceedings of the Combustion Institute 33, no. 2 (January 2011): 2055–62. http://dx.doi.org/10.1016/j.proci.2010.05.111.

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20

Sánchez, Antonio L., Amable Liñán, and Forman A. Williams. "A Generalized Burke-Schumann Formulation for Hydrogen-Oxygen Diffusion Flames Maintaining Partial Equilibrium of the Shuffle Reactions." Combustion Science and Technology 123, no. 1-6 (January 1997): 317–45. http://dx.doi.org/10.1080/00102209708935633.

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21

Kim, Taesung, Myunggeun Ahn, Daehong Lim, and Youngbin Yoon. "Velocity and mass diffusivity effects on the linear and nonlinear phenomena of the Burke-Schumann flame with acoustic excitation." Journal of Mechanical Science and Technology 33, no. 6 (June 2019): 3019–29. http://dx.doi.org/10.1007/s12206-019-0552-2.

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22

Chen*, Ruey-Hung, Jose E. Navedo, and Larry Chew. "Effects of Fuel Lewis Number on and Damkohler Number Scaling of Nitric Oxide Emission Levelof Burke-Schumann Type Flames." Combustion Science and Technology 127, no. 1-6 (August 1997): 293–318. http://dx.doi.org/10.1080/00102209708935698.

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23

Camacho, Jorge R., and Ahsan R. Choudhuri. "Shapes of Elliptic Methane Laminar Jet Diffusion Flames." Journal of Engineering for Gas Turbines and Power 128, no. 1 (October 21, 2004): 1–7. http://dx.doi.org/10.1115/1.2032449.

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Buoyant and nonbuoyant shapes of methane flames issued from a 2:1 aspect ratio elliptic tube burner were measured. Nonbuoyant conditions were obtained in the KC-135 microgravity research aircraft operated by NASA’s Johnson Space Center. A mathematical model based on the extended Burke-Schumann flame theory is developed to predict the flame length of an elliptic burner. The model utilizes Roper’s theoretical method for circular burners and extends the analysis for elliptic burners. The predicted flame length using the theoretical model agrees well with experimental measurements. In general for the elliptic burner the nonbuoyant flames are longer than the buoyant flames. However, measured lengths of both buoyant and nonbuoyant flame lengths change proportionally with the volumetric fuel flow rate and support the L vs Q correlation. The maximum flame width measured at buoyant and nonbuoyant conditions also show a proportional relation with the volumetric fuel flow rate. Normalized buoyant and nonbuoyant flame lengths of the elliptic burner correlate (L∕d∝Re) with the jet exit Reynolds number and exhibit a higher slope compared to a circular burner. Normalized flame width data show a power correlation (w∕d=cFrn) with the jet exit Froude number.

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24

BALASUBRAMANIAN, KOUSHIK, and R. I. SUJITH. "Non-normality and nonlinearity in combustion–acoustic interaction in diffusion flames." Journal of Fluid Mechanics 594 (December 14, 2007): 29–57. http://dx.doi.org/10.1017/s0022112007008737.

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The role of non-normality and nonlinearity in flame–acoustic interaction in a ducted diffusion flame is investigated in this paper. The infinite rate chemistry model is employed to study unsteady diffusion flames in a Burke–Schumann type geometry. It has been observed that even in this simplified case, the combustion response to perturbations of velocity is non-normal and nonlinear. This flame model is then coupled with a linear model of the duct acoustic field to study the temporal evolution of acoustic perturbations. The one-dimensional acoustic field is simulated in the time domain using the Galerkin technique, treating the fluctuating heat release from the combustion zone as a compact acoustic source. It is shown that the coupled combustion–acoustic system is non-normal and nonlinear. Further, calculations showed the occurrence of triggering; i.e. the thermoacoustic oscillations decay for some initial conditions whereas they grow for some other initial conditions. It is shown that triggering occurs because of the combined effect of non-normality and nonlinearity. For such a non-normal system, resonance or ‘pseudoresonance’ may occur at frequencies far from its natural frequencies. Non-normal systems can be studied using pseudospectra, as eigenvalues alone are not sufficient to predict the behaviour of the system. Further, both necessary and sufficient conditions for the stability of a thermoacoustic system are presented in this paper.

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25

Higuera, F. J., and A. Liñán. "Flow field of a diffusion flame attached to a thick-walled injector between two coflowing reactant streams." Journal of Fluid Mechanics 329 (December 25, 1996): 389–411. http://dx.doi.org/10.1017/s0022112096008968.

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The flow field of a diffusion flame attached to a thick-rim injector between two coflowing streams of fuel and oxidiser is analysed in the Burke–Schumann limit of infinitely fast reaction rate. The length of the recirculation region immediately behind the injector and the velocity of the recirculating fluid are proportional to the shear stresses of the reactant streams on the wall of the injector for a range of rim thicknesses, and the structure of the flow in the wake depends then on three main non-dimensional parameters, measuring the gas thermal expansion due to the chemical heat release, the air-to-fuel stoichiometric ratio of the reaction, and the air-to-fuel ratio of wall shear stresses. The recirculation region shortens with increasing heat release, and the position of the flame in this region depends on the other two parameters. An asymptotic analysis is carried out for very exothermic reactions, showing that the region of high temperature around the flame is confined by neatly defined boundaries and the hot fluid moves like a high-velocity jet under a favourable self-induced pressure gradient. The immediate wake is surrounded by a triple-deck region where the interacting flow leads to an adverse pressure gradient and a reduced shear stress upstream of the injector rim for sufficiently exothermic reactions. Separation of the boundary layers on the wall of the injector, however, seems to be postponed to very large values of the gas thermal expansion.

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26

Pearce, P., and J. Daou. "Rayleigh–Bénard instability generated by a diffusion flame." Journal of Fluid Mechanics 736 (November 8, 2013): 464–94. http://dx.doi.org/10.1017/jfm.2013.549.

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AbstractWe investigate the Rayleigh–Bénard convection problem within the context of a diffusion flame formed in a horizontal channel where the fuel and oxidizer concentrations are prescribed at the porous walls. This problem seems to have received no attention in the literature. When formulated in the low-Mach-number approximation the model depends on two main non-dimensional parameters, the Rayleigh number and the Damköhler number, which govern gravitational strength and reaction speed respectively. In the steady state the system admits a planar diffusion flame solution; the aim is to find the critical Rayleigh number at which this solution becomes unstable to infinitesimal perturbations. In the Boussinesq approximation, a linear stability analysis reduces the system to a matrix equation with a solution comparable to that of the well-studied non-reactive case of Rayleigh–Bénard convection with a hot lower boundary. The planar Burke–Schumann diffusion flame, which has been previously considered unconditionally stable in studies disregarding gravity, is shown to become unstable when the Rayleigh number exceeds a critical value. A numerical treatment is performed to test the effects of compressibility and finite chemistry on the stability of the system. For weak values of the thermal expansion coefficient $\alpha $, the numerical results show strong agreement with those of the linear stability analysis. It is found that as $\alpha $ increases to a more realistic value the system becomes considerably more stable, and also exhibits hysteresis at the onset of instability. Finally, a reduction in the Damköhler number is found to decrease the stability of the system.

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27

Jog, M. A., P. S. Ayyaswamy, and I. M. Cohen. "Evaporation and combustion of a slowly moving liquid fuel droplet: higher-order theory." Journal of Fluid Mechanics 307 (January 25, 1996): 135–65. http://dx.doi.org/10.1017/s0022112096000079.

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The evaporation and combustion of a single-component fuel droplet which is moving slowly in a hot oxidant atmosphere have been analysed using perturbation methods. Results for the flow field, temperature and species distributions in each phase, inter-facial heat and mass transfer, and the enhancement of the mass burning rate due to the presence of convection have all been developed correct to second order in the translational Reynolds number. This represents an advance over a previous study which analysed the problem to first order in the perturbation parameter. The primary motivation for the development of detailed analytical/numerical solutions correct to second order arises from the need for such a higher-order theory in order to investigate fuel droplet ignition and extinction characteristics in the presence of convective flow. Explanations for such a need, based on order of magnitude arguments, are included in this article. With a moving droplet, the shear at the interface causes circulatory motion inside the droplet. Owing to the large evaporation velocities at the droplet surface that usually accompany drop vaporization and burning, the entire flow field is not in the Stokes regime even for low translational Reynolds numbers. In view of this, the formulation for the continuous phase is developed by imposing slow translatory motion of the droplet as a perturbation to uniform radial flow associated with vigorous evaporation at the surface. Combustion is modelled by the inclusion of a fast chemical reaction in a thin reaction zone represented by the Burke–Schumann flame front. The complete solution for the problem correct to second order is obtained by simultaneously solving a coupled formulation for the dispersed and continuous phases. A noteworthy feature of the higher-order formulation is that both the flow field and transport equations require analysis by coupled singular perturbation procedures. The higher-order theory shows that, for identical conditions, compared with the first-order theory both the flame and the front stagnation point are closer to the surface of the drop, the evaporation is more vigorous, the droplet lifetime is shorter, and the internal vortical motion is asymmetric about the drop equatorial plane. These features are significant for ignition/extinction analyses since the prediction of the location of the point of ignition/extinction will depend upon such details. This article is the first of a two-part study; in the second part, analytical expressions and results obtained here will be incorporated into a detailed investigation of fuel droplet ignition and extinction. In view of the general nature of the formulation considered here, results presented have wider applicability in the general areas of interfacial fluid mechanics and heat/material transport. They are particularly useful in microgravity studies, in atmospheric sciences, in aerosol sciences, and in the prediction of material depletion from spherical particles.

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28

"A sheet model for the candle flame." Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 442, no. 1915 (August 9, 1993): 361–72. http://dx.doi.org/10.1098/rspa.1993.0108.

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The Burke–Schumann flame-sheet model is adopted for a study of the candle flame. The buoyant flow that is induced by the hot flame is treated as a variable-density boundary-layer flow in which transport properties are assumed to be proportional to the temperature. The main features of the calculated flame-sheet shape are in accord with those observed on an ordinary domestic candle.

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29

"Homogeneous flame processes in model of Burke-Schumann from positions of probability theory." Bulletin of the South Ural State University series "Power Engineering" 17, no. 3 (2017): 24–33. http://dx.doi.org/10.14529/power170303.

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30

"00/00972 The Burke—Schumann spray diffusion flame in a nonuniform flow field." Fuel and Energy Abstracts 41, no. 2 (March 2000): 107. http://dx.doi.org/10.1016/s0140-6701(00)90949-4.

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31

Greenberg, J. B., and F. Grodek. "Influence of Liquid Fuel Parameters on Burke-Schumann Spray Diffusion Flame Tip Extinction." International Journal of Turbo and Jet Engines 20, no. 4 (January 2003). http://dx.doi.org/10.1515/tjj.2003.20.4.307.

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