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Flame fronts in a turbulent combustion model with fractal velocity fields

โœ Scribed by Andrew J. Majda; Panagiotis Souganidis

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
274 KB
Volume
51
Category
Article
ISSN
0010-3640

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โœฆ Synopsis

Here the propagation of flame fronts for turbulent reaction diffusion equations is established for model velocity fields that are random and fractal unidirectional shear flows. It is established here that the flame fronts that exhibit anomalous scaling and are likely to be fractal themselves can be described through solutions of a suitable variational inequality. Despite the special nature of the random shear flows, these are the first rigorous results on front propagation with fractal fields.

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A turbulent transport model: Streamline
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โœ Christopher Apelian; Richard L. Holmes; Marco Avellaneda ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 350 KB ๐Ÿ‘ 2 views

Probabilistic methods and computer simulation are used to analyze streamline properties of flows defined by a general class of random, incompressible velocity fields. Such fields are stochastically modeled by a superposition of simple shear-flow layers. The resulting flow is governed by a nonstation