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A Nonlinear Theory of Cellular Flames
SIAM Journal on Applied Mathematics, 1980Experiments with laminar flames in gaseous combustible mixtures show that for certain mixtures a flame front will often break up into numerous cells. Cellular flames are periodic structures with pointed crests, pointing in the direction of the burned gas. The smoother sections (troughs) of the front are convex toward the fresh mixture.
Matkowsky, B. J. +2 more
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Flame Propagation in Vertical Channels: Bifurcation to Bimodal Cellular Flames
SIAM Journal on Applied Mathematics, 1984We derive a nonlinear evolution equation and associated boundary conditions which, under certain circumstances, describe downward adiabatic flame propagation in long, vertical channels. We analyze this problem for the case of axial symmetry and show that there exist two critical parameters, the channel radius R and a gravitational acceleration ...
Margolis, Stephen B. +1 more
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Wrinkled flames and cellular patterns
ACM SIGGRAPH 2007 papers, 2007We model flames and fire using the Navier-Stokes equations combined with the level set method and jump conditions to model the reaction front. Previous works modeled the flame using a combination of propagation in the normal direction and a curvature term which leads to a level set equation that is parabolic in nature and thus overly dissipative and ...
Jeong-Mo Hong +2 more
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Flame Retardancy of Cellular Polymeric Materials
International Journal of Polymeric Materials and Polymeric Biomaterials, 1996Abstract The combustion behavior of cellular polymeric materials is reviewed. The correlations between the structure and thermophysical properties of cellular polymers are discussed. The tests for potential fire hazard of cellular polymeric materials are reviewed.
R. M. Aseeva, G. E. Zaikov
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Analyzing the dynamics of cellular flames
Physica D: Nonlinear Phenomena, 1996Abstract Video data from experiments on the dynamics of two-dimensional flames are analyzed. The Karhumen-Loeve (KL) analysis is used to identify the dominant spatial structures and their temporal evolution fot several dynamical regimes of the flames. A data analysis procedure to extract and process the boundaries of flame cells is described.
Antonio Palacios +3 more
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A cellular automata model for expanding turbulent flames
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020Cellular automata models based on population dynamics, introduced by Von Neumann in the 1950s, has been successfully used to describe pattern development and front propagation in many applications, such as crystal growth, forest fires, fractal growth in biological media, etc.
Vishnu R. Unni +2 more
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On Spinning Propagation of Cellular Flames
Combustion Science and Technology, 1990Abstract The appearance of time-dependent cellular structures in premixed flame propagation is known to occur in a parameter regime usually associated with the onset of steady cellular flame formation. We consider this phenomenon in the context of a model for downward flame propagation in vertical channels.
STEPHEN B. MARGOLIS +1 more
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Numerical Simulation of Cellular Flame Propagation in Narrow Gaps
Mathematical Models and Computer Simulations, 2022Summary: A computational model for combustion of premixed gases in narrow gaps between parallel plates is presented. The model is based on the numerical solution of conservation equations for multicomponent reacting gas flow in the small Mach number approximation. Detailed kinetic mechanism is used to describe combustion reactions.
Borisov, V. E. +2 more
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Self-fragmentation of nonadiabatic cellular flames
Combustion and Flame, 1997A simple thermal-diffusive model for premixed flames with radiative heat losses is studied numerically. In accordance with previous analytical predictions, it is shown that cellular flames occurring in low Lewis number premixtures can propagate with heat-loss rates greater than the maximum that extinguishes the planar flame.
L. Kagan, G. Sivashinsky
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Gravitational effects on cellular flame structure
Symposium (International) on Combustion, 1991An experimental investigation has been conducted of the effect of gravity on the structure of downwardly propagating, cellular premixed propane-oxygen-nitrogen flames anchored on a water-cooled porous-plug burner. The flame is subjected to microgravity conditions in the NASA Lewis 2.2-second drop tower, and flame characteristics are recorded on high ...
C.M. Dunsky, A.C. Fernandez-Pello
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