منابع مشابه
Analyzing the dynamics of cellular flames
Video data from experiments on the dynamics of two-dimensional flames are analyzed. The Karhunen-Lo6ve (KL) analysis is used to identify the dominant spatial structures and their temporal evolution for several dynamical regimes of the flames. A data analysis procedure to extract and process the boundaries of flame cells is described. It is shown how certain spatial structures are associated wit...
متن کاملStructure and Dynamics of Modulated Traveling Waves in Cellular Flames
We describe the formation and evolution of spatial and temporal patterns in cylindrical premixed flames. We consider the cellular regime, Le < 1, where the Lewis number Le is the ratio of thermal to mass diffusivity of a deficient component of the combustible mixture. A transition from stationary, axisymmetric flames to stationary cellular flames is predicted analytically if Le is decreased bel...
متن کاملModal decomposition of hopping states in cellular flames.
We use Karhunen-Loeve (KL) decomposition of video images from an experiment to analyze a spatiotemporal dynamic state, unique to cellular flames, referred to as a "hopping state." Ordered states of cellular flames on a circular burner consist of one or two concentric rings of luminous cells. The hopping states correspond to the motions of individual cells in a ring sequentially executing abrupt...
متن کاملStability and Attractor for Quasi-Steady Equation of Cellular Flames
We continue to study a simple integro-differential equation: the Quasi-Steady equation (QS) of flame front dynamics. This second order quasi-linear parabolic equation with a non-local term is dynamically similar to the Kuramoto-Sivashinsky (KS) equation. In [FGS03], where it was introduced, its well-posedness and proximity for finite time intervals to the KS equation in Sobolev spaces of period...
متن کاملexperimental study of cellular instabilities in non - premixed flames
A systematic experimental study was performed to elucidate the conditions for which cellular patterns of diluted hydrogen diffusion flames near extinction were observed. The formation of cellular instabilities was studied for several burners: jet burners (axisymmetric jet and two-dimensional jet) and a novel one-dimensional burner. The fuel and oxidizer Lewis numbers and the initial mixture str...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1990
ISSN: 0893-9659
DOI: 10.1016/0893-9659(90)90141-w