Abstract
In many situations, a detailed scheme of chemical reactions are unnecessary and the hydrodynamics of the flame can be described satisfactory well using an accurate hydrodynamic model coupled to a one-step simplified irreversible reaction that converts the fresh fuel mixture to combustion products. When we talk about a flame, we mean, first of all, an ordinary chemical flame, a flame that can be observed in a laboratory, or fuel combustion in a car engine, combustion processes in industry, etc. Still, there are many other physical phenomena that possess very similar properties and may be called flames in a sense.
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References
W.H. Manheimer, D.G. Colombant, G.H. Gardner, Steady-state planar ablative flow. Phys. Fluids 25, 1644–1652 (1982)
A.B. Bud’ko, M.A. Liberman, Suppression of the Rayleigh-Taylor instability by convection in ablatively accelerated laser target. Phys. Rev. Lett. 68, 178–181 (1992)
V.V. Bychkov, S.M. Golberg, M.A. Liberman, Rayleigh-Taylor instability of combustion and laser produced ablation fronts. Phys. Fluids B 5, 3822–3824 (1993)
V.V. Bychkov, S.M. Golberg, M.A. Liberman, Self-consistent theory of the Rayleigh-Taylor instability in ablatively accelerated laser plasma. Phys. Plasmas 1, 2976–2986 (1994)
V.V. Bychkov, S.M. Golberg, M.A. Liberman, Growth of the Rayleigh-Taylor instabilities in an inhomogeneous ablative accelerated laser plasma. Sov. Phys. JETP 99, 1162–1185 (1991)
P. Clavin, L. Masse, Instabilities of ablation fronts in inertial confinement fusion: a comparison with flames. Phys. Plasmas 11, 690–705 (2004)
R. Betti, V. Goncharov, R. McCrory, C. Verdon, Self-consistent stability analysis of ablation fronts with small Froude numbers. Phys. Plasmas 3, 4665–4676 (1996)
R. Betti, V. Goncharov, R. McCrory, C. Verdon, Growth rates of the ablative Rayleigh-Taylor instability in inertial confinement fusion. 5, 1446–1454 (1998)
J. Sanz, L. Masse, P. Clavin, The linear Darrieus-Landau and Rayleigh-Taylor instabilities in inertial confinement fusion revisited. Phys. Plasmas 13, 102702 (2006)
A. Piriz, R. Portugues, Landau-Darrieus instability in an ablation front. Phys. Plasmas 10, 2449–2456 (2003)
S. Woosley, T. Weaver, The physics of supernova explosions. Annu. Rev. Astron. Astrophys. 24, 205–253 (1986)
J.C. Niemeyer, W. Hillebrandt, Microscopic instabilities of nuclear flames in type Ia supernovae. Astrophys. J. 452, 769–784 (1995)
V.V. Bychkov, M.A. Liberman, Thermal instability and pulsations of the flame front in white dwarfs. Astrophys. J. 451, 711–716 (1995)
V.V. Bychkov, M.A. Liberman, Self-consistent theory of white dwarf burning in the supernova Ia events. Astrophys. Space Sci. 233, 287–292 (1995)
K. Nomoto, K. Iwamoto, N. Kishimoto, Type Ia supernovae: their origin and possible applications in cosmology. Science 276, 1378–1382 (1997)
V.V. Bychkov, M.A. Liberman, Flame instabilities and models of white dwarf burning, in “Thermonuclear Supernovae”, ed. by P. Ruiz-Lapuente, R. Canal, & J. Isern (Dordrecht: Kluwer, 1996), Conference on Thermonuclear Supernovae, NATO Institute for Advanced Science, (Aiguablava, Spain, June 20–30, 1995), pp. 379–388
V. Gamezo, A. Khokhlov, E. Oran, A. Chtchelkanova, R. Rosenberg, Thermonuclear supernovae: simulations of the deflagration stage and their implications. Science 299, 77–81 (2003)
S.E. Woosley, Type la supernovae: burning and detonation in the distributed regime. Astrophys. J. 668, 1109–1117 (2007)
F.K. Röpke, J.C. Niemeyer, Delayed detonations in full-star models of type Ia supernova explosions. Astron. & Astrophys. 464, 683–686 (2007). https://doi.org/10.1051/0004-6361:20066585
M. Fink, M. Kromer, W. Hillebrandt, F.K. Röpke, R. Pakmor, I.R. Seitenzahl, S.A. Sim, Thermonuclear explosions of rapidly differentially rotating white dwarfs: candidates for superluminous type Ia supernovae? Astron. & Astrophys. 618, A124 (2018)
A. Tanikawa, K. Nomoto, N. Nakasato, Three-dimensional simulation of double detonations in the double-degenerate model for type Ia supernovae and interaction of ejecta with a surviving white dwarf companion. Astrophys. J. 868, 12–90 (2018)
M.A. Liberman, A.T. Rakhimov, Hydrodynamic instability of the high frequency gas discharge. Phys. Lett. 38A, 61–63 (1972)
D.L. Turcotte, R.S.B. Ong, The structure and propagation of ionizing wave fronts. J. Plasma Phys. 2, 145–155 (1968)
A.N. Lagarkov, I.M. Rutkevich, Ionization Waves in Electrical Breakdown of Gases (Springer-Verlag, New York Berlin Heidelberg, 1994)
I. Rutkevich, Two-dimensional instability of fast ionization waves propagating in an external electric field. Phys. Plasmas 5, 3054–3064 (1998)
U. Ebert, W. van Saarloos, C. Caroli, Propagation and structure of planar streamer fronts. Phys. Rev. E 55, 1530–1549 (1997)
P. Rodin, U. Ebert, A. Minarsky, I. Grekhov, Theory of superfast fronts of impact ionization in semiconductor structures. J. Appl. Phys. 102, 034508 (2007)
Y.B. Zeldovich, G.I. Barenblatt, V.B. Librovich, G.M. Makhviladze, The Mathematical Theory of Combustion and Explosion (Consultants Bureau, New York, 1985)
M. Liberman, A. Velikovich, Physics of Shock Waves in Gases and Plasmas (Springer-Verlag, Berlin - New York, 1985)
V.V. Bychkov, M.A. Liberman, On the stability of a flame in a closed chamber. Phys. Rev. Lett. 78, 1371–1734 (1997)
Y.B. Zel’dovich, D.A. Frank-Kamenetski, A theory of thermal propagation of flame. Acta Physicochimica. 9, 341–350 (1938)
E. Mallard, H. Le Chatelier, Recherches Experimentales et Theoriques sur la Combustion des Melanges Gaseoux Explosifs. Ann. Mines 8, 274–568 (1883)
M.A. Liberman, V.V. Bychkov, S.M. Golberg, D. Book, Stability of a planar flame front in the slow-combustion regime. Phys. Rev. E 49, 445–457 (1994)
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Liberman, M.A. (2021). Hydrodynamics of Premixed Laminar Flames. In: Combustion Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-85139-2_4
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DOI: https://doi.org/10.1007/978-3-030-85139-2_4
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