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Combustion Science and Technology Volume 40, 1984 - Issue 5-6
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Original Articles

On Quenching of Curved Flames

M. L. FRANKEL Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York, 12182, U.S.A
&
G. I. SIVASHINSKY Department of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, 69978, Israel
Pages 257-268 | Received 09 Jun 1983, Accepted 22 Mar 1984, Published online: 16 May 2007

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Qiang Li, Chang Shu & Huangwei Zhang. (2022) On the evolution of fuel droplet evaporation zone and its interaction with flame front in ignition of spray flames. Combustion Theory and Modelling 26:7, pages 1131-1158.
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J. E. Flaherty, M. L. Frankel, V. Roytburd & G. I. Sivashinsky. (1985) Numerical Study of Quenching of Inward Propagating Spherical Flames. Combustion Science and Technology 43:5-6, pages 245-257.
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Xin Lu, Erjiang Hu, Zhaohua Xu, Ruihan Ge, Zuohua Huang & Ke Zeng. (2019) Non-monotonic behavior of flame instability of 1,3-butadiene/O2/He mixture up to 1.5 MPa. Fuel 255, pages 115749.
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Xin Lu, Erjiang Hu, Xiaojie Li, Jinfeng Ku & Zuohua Huang. (2017) Non-monotonic behaviors of laminar burning velocities of H2/O2/He mixtures at elevated pressures and temperatures. International Journal of Hydrogen Energy 42:34, pages 22036-22045.
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Harshavardhana A. Uranakara, Swetaprovo Chaudhuri & K.N. Lakshmisha. (2017) On the extinction of igniting kernels in near-isotropic turbulence. Proceedings of the Combustion Institute 36:2, pages 1793-1800.
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Rhys A. Paul & Lawrence K. Forbes. (2016) Combustion waves in Sal’nikov’s reaction scheme in a spherically symmetric gas. Journal of Engineering Mathematics 101:1, pages 29-45.
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Ahmad Omari & Leonid Tartakovsky. (2016) Measurement of the laminar burning velocity using the confined and unconfined spherical flame methods – A comparative analysis. Combustion and Flame 168, pages 127-137.
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Tran Manh Vu, Min Suk Cha, Byeong Jun Lee & Suk Ho Chung. (2015) Tip opening of premixed bunsen flames: Extinction with negative stretch and local Karlovitz number. Combustion and Flame 162:4, pages 1614-1621.
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Fujia Wu, Abhishek Saha, Swetaprovo Chaudhuri & Chung K. Law. (2014) Facilitated Ignition in Turbulence through Differential Diffusion. Physical Review Letters 113:2.
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Haiyan Miao & Yan Liu. (2014) Measuring the laminar burning velocity and Markstein length of premixed methane/nitrogen/air mixtures with the consideration of nonlinear stretch effects. Fuel 121, pages 208-215.
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L. Courty, K. Chetehouna, L. Lemée, C. Mounaïm-Rousselle, F. Halter & J.P. Garo. (2012) Pinus pinea emissions and combustion characteristics of limonene potentially involved in accelerating forest fires. International Journal of Thermal Sciences 57, pages 92-97.
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Yun-Chao Wu & Zheng Chen. (2012) Asymptotic analysis of outwardly propagating spherical flames. Acta Mechanica Sinica 28:2, pages 359-366.
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Andrew P. Kelley, John K. Bechtold & Chung K. Law. (2011) Premixed flame propagation in a confining vessel with weak pressure rise. Journal of Fluid Mechanics 691, pages 26-51.
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Huangwei Zhang & Zheng Chen. (2011) Spherical flame initiation and propagation with thermally sensitive intermediate kinetics. Combustion and Flame 158:8, pages 1520-1531.
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F. Halter, T. Tahtouh & C. Mounaïm-Rousselle. (2010) Nonlinear effects of stretch on the flame front propagation. Combustion and Flame 157:10, pages 1825-1832.
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R. V. Fursenko, S. S. Minaev & K. -L. Pan. (2009) Hydrodynamic instability of inward-propagating flames. Combustion, Explosion, and Shock Waves 45:5, pages 511-517.
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Andrew Kelley, Grunde Jomaas & Chung Law. (2008) On the Critical Radius for Sustained Propagation of Spark-Ignited Spherical Flames. On the Critical Radius for Sustained Propagation of Spark-Ignited Spherical Flames.
M. Klots & J.B. Greenberg. (2005) A Simple Model of an Inward Propagating Spray Flame. International Journal of Turbo and Jet Engines 22:1.
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C.J. Sung, A. Makino & C.K. Law. (2002) On stretch-affected pulsating instability in rich hydrogen/air flames: asymptotic analysis and computation. Combustion and Flame 128:4, pages 422-434.
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C.J. Sun & C.K. Law. (2000) On the nonlinear response of stretched premixed flames. Combustion and Flame 121:1-2, pages 236-248.
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C.J. Sun & C.K. Law. (1998) On the consumption of fuel pockets via inwardly propagating flames. Symposium (International) on Combustion 27:1, pages 963-970.
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G. Kozlovsky & G. I. Sivashinsky. (1994) On open and closed tips of bunsen burner flames. Theoretical and Computational Fluid Dynamics 6-6:2-3, pages 181-192.
Crossref
. 1991. Dynamics of Deflagrations and Reactive Systems: Flames. Dynamics of Deflagrations and Reactive Systems: Flames 161 175 .
. 1991. Dynamics of Deflagrations and Reactive Systems: Flames. Dynamics of Deflagrations and Reactive Systems: Flames.
Katsuo Asato, Takeshi Kawamura & Tatsuya Ban. (1989) Effects of curvature on extinction of premixed flames stabilized in stagnation flow. Symposium (International) on Combustion 22:1, pages 1509-1515.
Crossref
C.K. Law. (1989) Dynamics of stretched flames. Symposium (International) on Combustion 22:1, pages 1381-1402.
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G. Fernandez, B. Larrouturou & G. I. Sivashinsky. 1989. Numerical Combustion. Numerical Combustion 287 298 .
M. Mizomoto & H. Yoshida. (1987) Effects of Lewis number on the burning intensity of Bunsen flames. Combustion and Flame 70:1, pages 47-60.
Crossref
David W. Mikolaitis. (1986) Stretched spherical cap flames. Combustion and Flame 63:1-2, pages 95-111.
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