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Combustion Science and Technology Volume 54, 1987 - Issue 1-6
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Original Articles

Instabilities in Upward Propagating Flames

Z. RAKIB School of Mathematical Sciences, Tel Aviv University, RamatAviv, Tel Aviv, 69978, Israel
&
G. I. SIVASHINSKY School of Mathematical Sciences, Tel Aviv University, RamatAviv, Tel Aviv, 69978, Israel
Pages 69-84 | Received 19 Mar 1986, Accepted 09 Dec 1986, Published online: 16 May 2007

Citations (35)

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Kaname Matsue & Moshe Matalon. (2023) Dynamics of hydrodynamically unstable premixed flames in a gravitational field – local and global bifurcation structures. Combustion Theory and Modelling 27:3, pages 346-374.
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Gaël Boury, Pierre Cambray & Guy Joulin . (2004) Mean cell wavelengths of wrinkled premixed flames in weak gravity fields: Spontaneous evolutions. Combustion Theory and Modelling 8:4, pages 811-820.
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Y. Kortsarts, I. Brailovsky & G. I. Sivashinsky. (1997) On Hydrodynamic Instability of Stretched Flames. Combustion Science and Technology 123:1-6, pages 207-225.
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Y. M. SHTEMLER & G. I. SIVASHINSKY. (1994) On Upward Propagating Flames. Combustion Science and Technology 102:1-6, pages 81-93.
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BRUNO DENET. (1993) On Non-Linear Instabilities of Cellular Premixed Flames. Combustion Science and Technology 92:1-3, pages 123-144.
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STEPHENB. MARGOLIS & GREGORYI. SIVASHINSKY. (1990) On Spinning Propagation of Cellular Flames. Combustion Science and Technology 69:4-6, pages 99-131.
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Z. Rakib & G. Sivashinsky. (1988) Flame Propagation in a Horizontal Channel. Combustion Science and Technology 59:4-6, pages 247-260.
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G. I. SIVASHINSKY, Z. RAKIB, M. MATALON & S. H. SOHRAB. (1988) Flame Propagation in a Rotating Gas. Combustion Science and Technology 57:1-3, pages 37-53.
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Articles from other publishers (27)

Mariam Battikh, Elias Al Sarraf, Basile Radisson, Christophe Almarcha & Bruno Denet. (2023) Nonlinear dynamics of upward propagating flames. Physical Review E 107:6.
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P Samanta & Ch. Srinivasa Rao. (2022) Large-time asymptotics to solutions of a generalized Burgers equation with linear damping on half-line. The Quarterly Journal of Mechanics and Applied Mathematics 75:3, pages 275-299.
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Basile Radisson, Bruno Denet & Christophe Almarcha. (2021) Nonlinear dynamics of flame fronts with large-scale stabilizing effects. Physical Review E 103:6.
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Yuji Nomi, Hiroshi Gotoda, Shuya Kandani & Christophe Almarcha. (2021) Complex network analysis of the gravity effect on premixed flames propagating in a Hele-Shaw cell. Physical Review E 103:2.
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Michael A. LibermanMichael A. Liberman. 2021. Combustion Physics. Combustion Physics 279 291 .
Johan Llamoza & Desiderio A. Vasquez. (2019) Structures and Instabilities in Reaction Fronts Separating Fluids of Different Densities. Mathematical and Computational Applications 24:2, pages 51.
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Dan Coroian & Desiderio A. Vasquez. (2018) Oscillatory instability in a reaction front separating fluids of different densities. Physical Review E 98:2.
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J. Yanez & M. Kuznetsov. (2016) An analysis of flame instabilities for hydrogen–air mixtures based on Sivashinsky equation. Physics Letters A 380:33, pages 2549-2560.
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Marta Strani. (2015) Metastable dynamics of internal interfaces for a convection-reaction-diffusion equation. Nonlinearity 28:12, pages 4331-4368.
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E. P. Hicks. (2014) A shear instability mechanism for the pulsations of Rayleigh–Taylor unstable model flames. Journal of Fluid Mechanics 748, pages 618-640.
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Yoshikazu Taniyama & Osamu Fujita. (2014) Initiation and formation of the corrugated structure leading to the self-turbulization of downward propagating flames in a combustion tube with external laser absorption. Combustion and Flame 161:6, pages 1558-1565.
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Drew Elliott & Desiderio A. Vasquez. (2012) Convection in stable and unstable fronts. Physical Review E 85:1.
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Chunhua Ou & Michael J. Ward. (2006) A metastable flame-front interface and Carrier's problem. Journal of Computational and Applied Mathematics 190:1-2, pages 354-375.
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S. Kamin, H. Berestycki, L. Kagan & G. Sivashinsky. 2005. Elliptic and Parabolic Problems. Elliptic and Parabolic Problems 319 328 .
Leonardo F. Guidi & Domingos H.U. Marchetti. (2003) A comparison analysis of Sivashinsky's type evolution equations describing flame propagation in channels. Physics Letters A 308:2-3, pages 162-172.
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Michael J. Ward. 2001. Multiple-Time-Scale Dynamical Systems. Multiple-Time-Scale Dynamical Systems 233 259 .
Stephen K. Scott & Kenneth Showalter. 1995. Chemical Waves and Patterns. Chemical Waves and Patterns 485 516 .
Joseph W. Wilder, Boyd F. Edwards, Desiderio A. Vasquez & Gregory I. Sivashinsky. (1994) Derivation of a nonlinear front evolution equation for chemical waves involving convection. Physica D: Nonlinear Phenomena 73:3, pages 217-226.
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C.K. Law & G.M. Faeth. (1994) Opportunities and challenges of combustion in microgravity. Progress in Energy and Combustion Science 20:1, pages 65-113.
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Dezsö Horváth, Valery Petrov, Stephen K. Scott & Kenneth Showalter. (1993) Instabilities in propagating reaction-diffusion fronts. The Journal of Chemical Physics 98:8, pages 6332-6343.
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A.B. Mikishev & G.I. Sivashinsky. (1993) Quasi-equilibrium in upward propagating flames. Physics Letters A 175:6, pages 409-414.
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Joseph W. Wilder, Boyd F. Edwards & Desiderio A. Vasquez. (1992) Finite thermal diffusivity at onset of convection in autocatalytic systems: Continuous fluid density. Physical Review A 45:4, pages 2320-2327.
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G. Joulin & G.I. Sivashinsky. (1992) On the linear hydrodynamic stability and response of premixed flames in stagnation-point flows. Symposium (International) on Combustion 24:1, pages 37-44.
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Boyd F. Edwards, Joseph W. Wilder & Kenneth Showalter. (1991) Onset of convection for autocatalytic reaction fronts: Laterally unbounded system. Physical Review A 43:2, pages 749-760.
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. (1997) On the intrinsic dynamics of premixed flames. Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences 332:1624, pages 135-148.
Crossref
C. LAW. (1990) Combustion in microgravity - Opportunities, challenges, and progress. Combustion in microgravity - Opportunities, challenges, and progress.
Hans G. Kaper, G. K. Leaf, B. J. Matkowsky & W. E. Olmstead. (1988) Dynamics of Nearly Extinguished Nonadiabatic Premixed Flames in a Gravitational Field. SIAM Journal on Applied Mathematics 48:5, pages 1054-1063.
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