Advanced search
Publication Cover
Combustion Science and Technology Volume 22, 1980 - Issue 3-4
Submit an article Journal homepage
91
Views
101
CrossRef citations to date
0
Altmetric
Original Articles

Bifurcation Phenomena in Burner-Stabilized Premixed Flames

STEPHEN B. MARGOLIS Applied Mathematics Division 8331, Sandia National Laboratory, Livermore, California, 94550
Pages 143-169 | Received 07 Sep 1979, Accepted 26 Nov 1979, Published online: 27 Apr 2007

Citations (101)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (29)

Anastasia D. Moroshkina, Alina A. Ponomareva, Vladimir V. Mislavskii, Evgeniy V. Sereshchenko, Vladimir V. Gubernov, Viatcheslav V. Bykov & Sergey S. Minaev. (2023) Determining the global activation energy of methane–air premixed flames. Combustion Theory and Modelling 27:7, pages 909-924.
Read now
Viatcheslav Bykov, Sudhi Shashidharan, Etele Berszany, Vladimir Gubernov & Ulrich Maas. (2022) Model Reduction of Rich Premixed Hydrogen/air Oscillatory Flames by Global Quasi-Linearization (GQL). Combustion Science and Technology 194:12, pages 2377-2394.
Read now
D. Bhatt & S. R. Chakravarthy. (2022) Nonlinear Flame Dynamics for Laminar Flame in a Co-flow Mixing Layer with Widely Varying Premixedness: Preferential Diffusion and Stoichiometry Effects. Combustion Science and Technology 194:7, pages 1321-1339.
Read now
B. Kichatov, A. Kolobov, V. Gubernov, V. Bykov & U. Maas. (2020) Combustion of rich hydrogen–air mixture stabilised near a cylindrical porous burner. Combustion Theory and Modelling 24:4, pages 650-665.
Read now
XINMING HUANG & WILLIAMT. BAUMANN*. (2007) REDUCED-ORDER MODELING OF DYNAMIC HEAT RELEASE FOR THERMOACOUSTIC INSTABILITY PREDICTION. Combustion Science and Technology 179:3, pages 617-636.
Read now
Mark Short & Yanning Liu. (2004) Edge-flame structure and oscillations for unit Lewis numbers in a non-premixed counterflow. Combustion Theory and Modelling 8:3, pages 425-447.
Read now
M Chen & J Buckmaster. (2003) An investigation of oscillating instabilities in deflagrations with edges. Combustion Theory and Modelling 7:2, pages 333-342.
Read now
R Rook, L P H de Goey, L M T Somers, K R A M Schreel & R Parchen. (2002) Response of burner-stabilized flat flames to acoustic perturbations. Combustion Theory and Modelling 6:2, pages 223-242.
Read now
J Buckmaster & Yi Zhang. (1999) Oscillating edge-flames. Combustion Theory and Modelling 3:3, pages 547-565.
Read now
I. Brailovsky & G. I. Sivashinsky. (1997) On Stabilization and Blowoff of Inverted Spherical Flames. Combustion Science and Technology 122:1-6, pages 95-111.
Read now
I. BRAILOVSKY, S. CHESKIS & G. SIVASHINSKY. (1996) Dynamical Aspects of Pulsed Flames. Combustion Science and Technology 118:1-3, pages 49-62.
Read now
R. G. JOHNSON, A. C. MclNTOSH, G. A. BATLEY & J. BRINDLEY. (1994) Nonlinear Oscillations of Premixed Flames Caused by Sharp Pressure Changes. Combustion Science and Technology 99:1-3, pages 201-219.
Read now
M. GORMAN, M. EL-HAMDI & K. A. ROBBINS. (1994) Four Types of Chaotic Dynamics in Cellular Flames. Combustion Science and Technology 98:1-3, pages 79-93.
Read now
M. GORMAN, M. EL-HAMDI & K. A. ROBBINS. (1994) Chaotic Dynamics Near The Extinction Limit of a Premixed Flame on a Porous Plug Burner. Combustion Science and Technology 98:1-3, pages 47-56.
Read now
ALVIN BAYLISS, GARYK. LEAF & BERNARDJ. MATKOWSKY. (1992) Pulsating and Chaotic Dynamics near the Extinction Limit. Combustion Science and Technology 84:1-6, pages 253-278.
Read now
John K. Bechtold & Stephen B. Margolis. (1989) Hydrodynamic Stability of Solid and Liquid Propellant Combustion. Combustion Science and Technology 68:1-3, pages 49-84.
Read now
STEPHENB. MARGOLIS & SHERIDANC. JOHNSTON. (1989) Multiplicity and Stability of Supercritical Combustion in a Nonadiabatic Tubular Reactor. Combustion Science and Technology 65:1-3, pages 103-136.
Read now
B. H. CHAO & C. K. LAW. (1988) Duality, Pulsating Instability, and Product Dissociation in Burner-Stabilized Flames. Combustion Science and Technology 62:4-6, pages 211-237.
Read now
Stephen B. Margolis & Forman A. Williams. (1988) Diffusional/Thermal Coupling and Intrinsic Instability of Solid Propellant Combustion. Combustion Science and Technology 59:1-3, pages 27-84.
Read now
DAVIDW. MIKOLAITIS. (1986) Premixed Flame Structure for Large Activation Energy and Large Heat Release—A Simple Model. Combustion Science and Technology 48:1-2, pages 89-98.
Read now
B. ROGG. (1986) Short Communication. Combustion Science and Technology 45:5-6, pages 317-329.
Read now
J. W. Mapp, J. I. Blackshear$suffix/text()$suffix/text() & M. Gorman. (1985) Short Communication. Combustion Science and Technology 43:3-4, pages 217-225.
Read now
A. C. McIntosh & J. F. Clarke. (1984) Second Order Theory of Unsteady Burner-Anchored Flames With Arbitrary Lewis Number. Combustion Science and Technology 38:3-4, pages 161-196.
Read now
J. I. BLACKSHEAR,.Jr. J. W. MAPP. (1983) SHORT COMMUNICATION. Combustion Science and Technology 35:5-6, pages 311-315.
Read now
Stephen B. Margolis & Alan R. Kerstein. (1983) Flame Stabilization in a Layered Medium. Combustion Science and Technology 35:5-6, pages 255-275.
Read now
Stephen B. Margolis & Bernard J. Matkowsky. (1983) Nonlinear Stability and Bifurcation in the Transition from Laminar to Turbulent Flame Propagation. Combustion Science and Technology 34:1-6, pages 44-77.
Read now
STEPHENB. MARGOLIS. (1982) Lean Flame Propagation with Competing Chemical Reactions† . Combustion Science and Technology 28:3-4, pages 107-119.
Read now
STEPHENB. MARGOLIS & BERNARDJ. MATKOWSKY. (1982) Steady and Pulsating Modes of Sequential Flame Propagation. Combustion Science and Technology 27:5-6, pages 193-213.
Read now
D. MIKOLAITIS & J. BUCKMASTER. (1981) Flame Stabilization in a Rear Stagnation Point Flow. Combustion Science and Technology 27:1-2, pages 55-68.
Read now

Articles from other publishers (72)

E.O. Yakupov, V.V. Gubernov & A.A. Polezhaev. (2024) Formation of spiral structures in rich-hydrogen air flames at elevated pressures. International Journal of Hydrogen Energy 49, pages 784-795.
Crossref
Daniil Volkov, Anastasia Moroshkina, Vladimir Mislavskii, Evgeniy Sereshchenko, Vladimir Gubernov, Viatcheslav Bykov & Sergey Minaev. (2024) Relaxational oscillations of burner-stabilized premixed methane–air flames. Combustion and Flame 259, pages 113141.
Crossref
A. Moroshkina, V. Mislavskii, B. Kichatov, V. Gubernov, V. Bykov & U. Maas. (2023) Burner stabilized flames: Towards reliable experiments and modelling of transient combustion. Fuel 332, pages 125754.
Crossref
E. O. Yakupov, V. V. Gubernov & A. A. Polezhaev. (2022) Theoretical Study of the Formation of Inhomogeneous Structures at the Combustion Front Based on the Reduced Model. Bulletin of the Lebedev Physics Institute 49:10, pages 329-335.
Crossref
V. Mislavskii, N. Pestovskii, S. Tskhai, B. Kichatov, V. Gubernov, V. Bykov & U. Maas. (2021) Diffusive-thermal pulsations of burner stabilized methane-air flames. Combustion and Flame 234, pages 111638.
Crossref
Eduard O. Yakupov, Vladimir V. Gubernov & Andrey A. Polezhaev. (2020) Mathematical modeling of spatiotemporal patterns formed at a traveling reaction front. Chaos: An Interdisciplinary Journal of Nonlinear Science 30:8.
Crossref
S. Nechipurenko, T. Miroshnichenko, N. Pestovskii, S. Tskhai, B. Kichatov, V. Gubernov, V. Bykov & U. Maas. (2020) Experimental observation of diffusive-thermal oscillations of burner stabilized methane-air flames. Combustion and Flame 213, pages 202-210.
Crossref
Dan Zhao, Ephraim Gutmark & Arne Reinecke. (2019) Mitigating self-excited flame pulsating and thermoacoustic oscillations using perforated liners. Science Bulletin 64:13, pages 941-952.
Crossref
Eduard O. Yakupov, Andrey A. Polezhaev, Vladimir V. Gubernov & Taisia P. Miroshnichenko. (2019) Investigation of the mechanism of emergence of autowave structures at the reaction front. Physical Review E 99:4.
Crossref
V.V. Gubernov, V. Bykov & U. Maas. (2019) The effect of dilution on the diffusive-thermal instability of the rich premixed hydrogen deflagration. International Journal of Hydrogen Energy 44:21, pages 11153-11160.
Crossref
V. Bykov, V.V. Gubernov & U. Maas. (2018) Mechanisms performance and pressure dependence of hydrogen/air burner-stabilized flames. Mathematical Modelling of Natural Phenomena 13:6, pages 51.
Crossref
V.V. Gubernov, V. Bykov & U. Maas. (2017) Hydrogen/air burner-stabilized flames at elevated pressures. Combustion and Flame 185, pages 44-52.
Crossref
Snezhana I Abarzhi, Yasuhide Fukumoto & Leo P Kadanoff. (2015) Stability of a hydrodynamic discontinuity. Physica Scripta 90:1, pages 018002.
Crossref
Vadim N. Kurdyumov & Mario Sánchez–Sanz. (2013) Influence of radiation losses on the stability of premixed flames on a porous-plug burner. Proceedings of the Combustion Institute 34:1, pages 989-996.
Crossref
Ingmar Schoegl. (2012) Radiation effects on flame stabilization on flat flame burners. Combustion and Flame 159:9, pages 2817-2828.
Crossref
L.P.H. de Goey, J.A. van Oijen, V.N. Kornilov & J.H.M. ten Thije Boonkkamp. (2011) Propagation, dynamics and control of laminar premixed flames. Proceedings of the Combustion Institute 33:1, pages 863-886.
Crossref
Jin Han Yun, Dae Geun Park, Sang In Keel & Jeong Park. (2009) Behavior of Low Strain Rate Flame Disks in Counterflow Diffusion Flame. International Journal of Spray and Combustion Dynamics 1:4, pages 473-495.
Crossref
M. Gorman, M. el-Hamdi & B. Pearson. (2009) The characteristics of four ratcheting states in cellular flames. Chaos: An Interdisciplinary Journal of Nonlinear Science 19:3.
Crossref
Kishwar N. Hossain, Thomas L. Jackson & John D. Buckmaster. (2009) Numerical simulations of flame patterns supported by a spinning burner. Proceedings of the Combustion Institute 32:1, pages 1209-1217.
Crossref
Vadim N. Kurdyumov & Moshe Matalon. (2008) The porous-plug burner: Flame stabilization, onset of oscillation, and restabilization. Combustion and Flame 153:1-2, pages 105-118.
Crossref
Kishwar Hossain, Thomas Jackson & John Buckmaster. (2008) Three-Dimensional Numerical Simulation of Flames Supported by a Spinning Porous Plug Burner. Three-Dimensional Numerical Simulation of Flames Supported by a Spinning Porous Plug Burner.
M. Gorman & S. Perrollier. (2006) Unusual pulsating states in hydrocarbon-oxygen premixed flames. Chaos: An Interdisciplinary Journal of Nonlinear Science 16:4.
Crossref
June-Sung Park, Dong-Jin Hwang, Jeong-Soo Kim, Sang-In Keel, Tae-Kwon Kim & Jeong Park. (2006) Effects of Heat Losses on Edge-flame Instabilities in Low Strain Rate Counterflow Diffusion Flames. Transactions of the Korean Society of Mechanical Engineers B 30:10, pages 996-1002.
Crossref
June Sung Park, Dong Jin Hwang, Jeong Park, Jeong Soo Kim, Sungcho Kim, Sang In Keel, Tae Kwon Kim & Dong Soon Noh. (2006) Edge flame instability in low-strain-rate counterflow diffusion flames. Combustion and Flame 146:4, pages 612-619.
Crossref
Changrong Cui, Moshe Matalon & Thomas L. Jackson. (2005) Pulsating Mode of Flame Propagation in Two-Dimensional Channels. AIAA Journal 43:6, pages 1284-1292.
Crossref
Prateep Chatterjee, Uri Vandsburger, William R. Saunders, Vivek K. Khanna & William T. Baumann. (2005) On the spectral characteristics of a self-excited Rijke tube combustor—numerical simulation and experimental measurements. Journal of Sound and Vibration 283:3-5, pages 573-588.
Crossref
J. Buckmaster. (2002) Edge-flames. Progress in Energy and Combustion Science 28:5, pages 435-475.
Crossref
B.H. Chao. (2001) Instability of burner-stabilized flames with volumetric heat loss. Combustion and Flame 126:1-2, pages 1476-1488.
Crossref
J. Buckmaster, A. Hegab & T. L. Jackson. (2000) More results on oscillating edge-flames. Physics of Fluids 12:6, pages 1592-1600.
Crossref
B.H. Chao & Y.Q. Xia. (2000) Diffusional–thermal instability of cylindrical burner-stabilized premixed flames. Combustion and Flame 121:4, pages 625-639.
Crossref
T. L. Jackson & J. Buckmaster. (2000) Nonpremixed Periodic Flames Supported by Heterogeneous Propellants. Journal of Propulsion and Power 16:3, pages 498-504.
Crossref
S. Jayaraman, O. M. Knio, A. B. Mann & T. P. Weihs. (1999) Numerical predictions of oscillatory combustion in reactive multilayers. Journal of Applied Physics 86:2, pages 800-809.
Crossref
J. Buckmaster & T. Jackson. (1999) Response of propellant flames to unsteady flows, and related questions. Response of propellant flames to unsteady flows, and related questions.
L. Boshoff-Mostert & H.J. Viljoen. (1998) Analysis of combustion-driven acoustics. Chemical Engineering Science 53:9, pages 1679-1687.
Crossref
Howard Pearlman. (1997) Excitability in high-Lewis number premixed gas combustion. Combustion and Flame 109:3, pages 382-398.
Crossref
F. Escobedo & H. J. Viljoen. (2009) Modeling of porous radiant burners with large extinction coefficients. The Canadian Journal of Chemical Engineering 72:5, pages 805-814.
Crossref
Alvin Bayliss & Bernard J. Matkowsky. (1994) From Traveling Waves to Chaos in Combustion. SIAM Journal on Applied Mathematics 54:1, pages 147-174.
Crossref
R. Kuske & B. J. Matkowsky. (1994) Two-dimensional cellular burner-stabilized flames. Quarterly of Applied Mathematics 52:4, pages 665-688.
Crossref
J.A. Eng, C.K. Law & D.L. Zhu. (1994) On burner-stabilized cylindrical premixed flames in microgravity. Symposium (International) on Combustion 25:1, pages 1711-1718.
Crossref
F.A. Williams. (1992) The role of theory in combustion science. Symposium (International) on Combustion 24:1, pages 1-17.
Crossref
J. Buckmaster. 1992. Major Research Topics in Combustion. Major Research Topics in Combustion 103 130 .
Stephen B. Margolis & Forman A. Williams. (1991) Flame propagation in solids and high-density fluids with Arrhenius reactant diffusion. Combustion and Flame 83:3-4, pages 390-398.
Crossref
Stephen B. Margolis. (1991) The transition to nonsteady deflagration in gasless combustion. Progress in Energy and Combustion Science 17:2, pages 135-162.
Crossref
Alvin Bayliss & Bernard J. Matkowsky. 1991. Dynamical Issues in Combustion Theory. Dynamical Issues in Combustion Theory 1 35 .
Gary A. Sod. (2016) The simulation of a pulsating flame front. SIMULATION 54:5, pages 253-258.
Crossref
Stephen B. Margolis & Forman A. Williams. (1989) Diffusional/Thermal Instability of a Solid Propellant Flame. SIAM Journal on Applied Mathematics 49:5, pages 1390-1420.
Crossref
M. Kitano, H. Kobayashi & Y. Otsuka. (1989) A study of cylindrical premixed flames with heat loss. Combustion and Flame 76:1, pages 89-105.
Crossref
Michael R. Booty, Stephen B. Margolis & Bernard J. Matkowsky. (1987) Interaction of Pulsating and Spinning Waves in Nonadiabatic Flame Propagation. SIAM Journal on Applied Mathematics 47:6, pages 1241-1286.
Crossref
A Bayliss & B.J Matkowsky. (1987) Fronts, relaxation oscillations, and period doubling in solid fuel combustion. Journal of Computational Physics 71:1, pages 147-168.
Crossref
S. SANKAR, J. JAGODA, B. DANIEL & B. ZINN. (1987) Flame driving of axial acoustic waves - Comparison of theoretical predictions and experimental observations. Flame driving of axial acoustic waves - Comparison of theoretical predictions and experimental observations.
Rüdiger Seydel & Vladimir Hlavacek. (1987) Strategy of calculation of periodic solutions. Chemical Engineering Science 42:12, pages 2927-2933.
Crossref
F.A. Williams. (1986) Lectures on applied mathematics in combustion. Physica D: Nonlinear Phenomena 20:1, pages 21-34.
Crossref
L. Yu. Artyukh, P. G. Itskova & A. T. Luk'yanov. (1986) Stability of the stationary states of a planar laminar flame in a reacting hydrogen-oxygen mixture. Combustion, Explosion, and Shock Waves 22:2, pages 175-180.
Crossref
A. C. Mcintosh. (2006) On the cellular instability of flames near porous-plug burners. Journal of Fluid Mechanics 161:-1, pages 43.
Crossref
Gary A. Sod. (1985) A random choice method with application to reaction-diffusion systems in combustion. Computers & Mathematics with Applications 11:1-3, pages 129-144.
Crossref
Paul Clavin. (1985) Dynamic behavior of premixed flame fronts in laminar and turbulent flows. Progress in Energy and Combustion Science 11:1, pages 1-59.
Crossref
J. Buckmaster. (1984) Fronts and patterns in low Mach no. combustion—A review. Physica D: Nonlinear Phenomena 12:1-3, pages 173-181.
Crossref
Stephen B. Margolis & Gregory I. Sivashinsky. (1984) Flame Propagation in Vertical Channels: Bifurcation to Bimodal Cellular Flames. SIAM Journal on Applied Mathematics 44:2, pages 344-368.
Crossref
M. Matalon & B. J. Matkowsky. (1984) On the Stability of Plane and Curved Flames. SIAM Journal on Applied Mathematics 44:2, pages 327-343.
Crossref
J. Buckmaster. (1983) Stability of the Porous Plug Burner Flame. SIAM Journal on Applied Mathematics 43:6, pages 1335-1349.
Crossref
D. Roose & V. Hlavacek. (1983) Numerical Computation of Hopf Bifurcation Points for Parabolic Diffusion-Reaction Differential Equations. SIAM Journal on Applied Mathematics 43:5, pages 1075-1085.
Crossref
Stephen B. Margolis. (1983) An Asymptotic Theory of Condensed Two-Phase Flame Propagation. SIAM Journal on Applied Mathematics 43:2, pages 351-369.
Crossref
. 1983. Flames, Lasers and Reactive Systems. Flames, Lasers and Reactive Systems 3 37 .
Stephen B. Margolis & Bernard J. Matkowsky. (1982) Flame Propagation with a Sequential Reaction Mechanism. SIAM Journal on Applied Mathematics 42:6, pages 1175-1188.
Crossref
B. J. Matkowsky & D. O. Olagunju. (1982) Spinning Waves in Gaseous Combustion. SIAM Journal on Applied Mathematics 42:5, pages 1138-1156.
Crossref
Stephen B. Margolis & Bernard J. Matkowsky. (1982) Flame Propagation with Multiple Fuels. SIAM Journal on Applied Mathematics 42:5, pages 982-1003.
Crossref
A. Van Harten & B. J. Matkowsky. (1982) A New Model in Flame Theory. SIAM Journal on Applied Mathematics 42:4, pages 850-867.
Crossref
B. J. Matkowsky & D. O. Olagunju. (1982) Traveling Waves Along the Front of a Pulsating Flame. SIAM Journal on Applied Mathematics 42:3, pages 486-501.
Crossref
J. Buckmaster & D. Mikolaitis. (1982) A flammability-limit model for upward propagation through lean methane/air mixtures in a standard flammability tube. Combustion and Flame 45, pages 109-119.
Crossref
Bernard J. Matkowsky & David O. Olagunju. (1981) Pulsations in a Burner-Stabilized Premixed Plane Flame. SIAM Journal on Applied Mathematics 40:3, pages 551-562.
Crossref
Stephen B. Margolis. (1981) Effects of selective diffusion on the stability of burner-stabilized premixed flames. Symposium (International) on Combustion 18:1, pages 679-693.
Crossref
J. Warnatz. 1981. Modelling of Chemical Reaction Systems. Modelling of Chemical Reaction Systems 162 188 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.