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Original Articles

Rotating and Modulated Rotating States of Cellular Flames

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Pages 25-35 | Received 26 Apr 1993, Accepted 10 Jan 1994, Published online: 27 Apr 2007

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ALEXANDERA. KONNOV & IGORV. DYAKOV. (2007) EXPERIMENTAL STUDY OF ADIABATIC CELLULAR PREMIXED FLAMES OF METHANE (ETHANE, PROPANE) + OXYGEN + CARBON DIOXIDE MIXTURES. Combustion Science and Technology 179:4, pages 747-765.
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David Lo Jacono, Paul Papas & Peter A Monkewitz. (2003) Cell formation in non-premixed, axisymmetric jet flames near extinction. Combustion Theory and Modelling 7:4, pages 635-644.
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M. GORMAN, M. EL-HAMDI & K. A. ROBBINS. (1994) Hopping Motion in Ordered States of Cellular Flames. Combustion Science and Technology 98:1-3, pages 71-78.
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Articles from other publishers (37)

Yue Weng, Aditya Potnis & Abhishek Saha. (2023) Regime and morphology of polyhedral bunsen flames. Combustion and Flame 248, pages 112585.
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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.
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Antonio PalaciosAntonio Palacios. 2022. Mathematical Modeling. Mathematical Modeling 179 255 .
J. Ogbonna, F. Garcia, T. Gundrum, M. Seilmayer & F. Stefani. (2020) Experimental investigation of the return flow instability in magnetized spherical Couette flows. Physics of Fluids 32:12.
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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.
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Derek Michael Forrester. (2015) Arrays of coupled chemical oscillators. Scientific Reports 5:1.
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Martin Golubitsky & Ian Stewart. (2015) Recent advances in symmetric and network dynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science 25:9.
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J.F. Yu, R. Yu, X.Q. Fan, M. Christensen, A.A. Konnov & X.S. Bai. (2013) Onset of cellular flame instability in adiabatic CH4/O2/CO2 and CH4/air laminar premixed flames stabilized on a flat-flame burner. Combustion and Flame 160:7, pages 1276-1286.
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J. D. Kelley, G. H. Gunaratne, A. Palacios & J. Shulman. (2012) Modal decomposition and normal form for hydrodynamic flows: Examples from cellular flame patterns. The European Physical Journal Special Topics 204:1, pages 119-131.
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V. Ratna Kishore, M.R. Ravi & Anjan Ray. (2011) Adiabatic burning velocity and cellular flame characteristics of H2–CO–CO2–air mixtures. Combustion and Flame 158:11, pages 2149-2164.
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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.
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Peter Blomgren, Antonio Palacios & Scott Gasner. (2009) Recent advances in 2+1-dimensional simulations of the pattern-forming Kuramoto–Sivashinsky equation. Mathematics and Computers in Simulation 79:6, pages 1810-1823.
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Michael Gorman & Robert Brockman. (2009) Dynamic States of Heavy Hydrocarbon-Oxygen Premixed Flames on an Annular Burner. SIAM Journal on Applied Dynamical Systems 8:2, pages 676-688.
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Osamu Kurata. (2008) X-shaped flames consisting of rotating slant flamelets. Combustion and Flame 152:1-2, pages 206-217.
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ANTONIO PALACIOS, PETER BLOMGREN & SCOTT GASNER. (2011) BIFURCATION ANALYSIS OF HOPPING BEHAVIOR IN CELLULAR PATTERN-FORMING SYSTEMS. International Journal of Bifurcation and Chaos 17:02, pages 509-520.
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Sean J. Danby & Tarek Echekki. (2006) Proper orthogonal decomposition analysis of autoignition simulation data of nonhomogeneous hydrogen–air mixtures. Combustion and Flame 144:1-2, pages 126-138.
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Peter Blomgren, Scott Gasner & Antonio Palacios. (2005) Stable second-order scheme for integrating the Kuramoto-Sivanshinsky equation in polar coordinates using distributed approximating functionals. Physical Review E 72:3.
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Alexander A. Konnov & Igor V. Dyakov. (2005) Measurement of propagation speeds in adiabatic cellular premixed flames of CH4+O2+CO2. Experimental Thermal and Fluid Science 29:8, pages 901-907.
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Peter Blomgren, Scott Gasner & Antonio Palacios. (2005) Hopping behavior in the Kuramoto–Sivashinsky equation. Chaos: An Interdisciplinary Journal of Nonlinear Science 15:1.
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C.E. Frouzakis, A.G. Tomboulides, P. Papas, P.F. Fischer, R.M. Rais, P.A. Monkewitz & K. Boulouchos. (2005) Three-dimensional numerical simulations of cellular jet diffusion flames. Proceedings of the Combustion Institute 30:1, pages 185-192.
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Kay Robbins, Michael Gorman, Jill Bowers & Robert Brockman. (2004) Spiral dynamics of pulsating methane–oxygen flames on a circular burner. Chaos: An Interdisciplinary Journal of Nonlinear Science 14:2, pages 467-476.
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A.A Konnov & I.V Dyakov. (2004) Measurement of propagation speeds in adiabatic flat and cellular premixed flames of C2H6+O2+CO2. Combustion and Flame 136:3, pages 371-376.
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V. Panfilov, A. Bayliss & B.J. Matkowsky. (2003) Spiral flames. Applied Mathematics Letters 16:2, pages 131-135.
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A. G. Class. (2001) Rotating polyhedral flames. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 81:S3, pages 783-784.
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V. Nayagam & F. A. Williams. (2000) Rotating Spiral Edge Flames in von Karman Swirling Flows. Physical Review Letters 84:3, pages 479-482.
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De S. Zhang, Guo W. Wei, Donald J. Kouri, David K. Hoffman, Michael Gorman, Antonio Palacios & Gemunu H. Gunaratne. (1999) Integrating the Kuramoto-Sivashinsky equation in polar coordinates: Application of the distributed approximating functional approach. Physical Review E 60:3, pages 3353-3360.
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Antonio Palacios, Michael Gorman & Gemunu H. Gunaratne. (1999) Modal decomposition of hopping states in cellular flames. Chaos: An Interdisciplinary Journal of Nonlinear Science 9:3, pages 755-767.
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Michael Gorman. 1999. Pattern Formation in Continuous and Coupled Systems. Pattern Formation in Continuous and Coupled Systems 101 110 .
Antonio Palacios, Gemunu H. Gunaratne, Michael Gorman & Kay A. Robbins. (1998) Karhunen-Loève analysis of spatiotemporal flame patterns. Physical Review E 57:5, pages 5958-5971.
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Alvin Bayliss, Andreas Class & Bernard J. Matkowsky. (1998) Localized Flickering Cellular Flames. SIAM Journal on Applied Mathematics 59:3, pages 942-964.
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K.A. Robbins. (1998) Visualization of scientific video data using KL decomposition. IEEE Transactions on Visualization and Computer Graphics 4:4, pages 330-343.
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Antonio Palacios, Gemunu H. Gunaratne, Michael Gorman & Kay A. Robbins. (1997) Cellular pattern formation in circular domains. Chaos: An Interdisciplinary Journal of Nonlinear Science 7:3, pages 463-475.
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Alexander G. Merzhanov, William A. Sirignano & Luigi De Luca. 1997. Advances in Combustion Science: In Honor of Ya. B. Zel'dovich. Advances in Combustion Science: In Honor of Ya. B. Zel'dovich 157 177 .
A. Bayliss & B.J. Matkowsky. (1996) Structure and dynamics of kink and cellular flames stabilized on a rotating burner. Physica D: Nonlinear Phenomena 99:2-3, pages 276-302.
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M. Gorman, M. el-Hamdi, B. Pearson & K. A. Robbins. (1996) Ratcheting Motion of Concentric Rings in Cellular Flames. Physical Review Letters 76:2, pages 228-231.
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Dezső Horváth & Kenneth Showalter. (1995) Instabilities in propagating reaction-diffusion fronts of the iodate-arsenous acid reaction. The Journal of Chemical Physics 102:6, pages 2471-2478.
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A. Bayliss, B.J. Matkowsky & H. Riecke. (1994) Structure and dynamics of Modulated Traveling Waves in cellular flames. Physica D: Nonlinear Phenomena 74:1-2, pages 1-23.
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