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Fractal flame structure due to the hydrodynamic Darrieus-Landau instability

Yu, Rixin LU ; Bai, Xue-Song LU and Bychkov, Vitaly (2015) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00 92(6).
Abstract
By using large scale numerical simulations, we obtain fractal structure, which develops at originally planar flame fronts due to the hydrodynamic Darrieus-Landau (DL) instability bending the fronts. We clarify some important issues regarding the DL fractal flames, which have been debated for a long time. We demonstrate an increase of the flame propagation speed with the hypothetic channel width, which controls the length scale of the instability development. We show that this increase may be fitted by a power law indicating the mean fractal properties of the flame front structure. The power exponent in this law is found to be not a universal constant, rather it depends on the flame properties—on the density drop at the front. Using box... (More)
By using large scale numerical simulations, we obtain fractal structure, which develops at originally planar flame fronts due to the hydrodynamic Darrieus-Landau (DL) instability bending the fronts. We clarify some important issues regarding the DL fractal flames, which have been debated for a long time. We demonstrate an increase of the flame propagation speed with the hypothetic channel width, which controls the length scale of the instability development. We show that this increase may be fitted by a power law indicating the mean fractal properties of the flame front structure. The power exponent in this law is found to be not a universal constant, rather it depends on the flame properties—on the density drop at the front. Using box counting on the simulated flame front shapes we show the fractal flame dimension at the intermediate scale is smaller than the one given by the power law, but it has a similar dependency on the density drop. We also obtain a formation of pockets at the DL fractal flame fronts, which previously has been associated only with turbulent burning. (Less)
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author
organization
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type
Contribution to journal
publication status
published
subject
keywords
Darrieus-Landau instability, Fractal flame structure
in
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00
volume
92
issue
6
publisher
American Physical Society
external identifiers
  • pmid:26764824
  • wos:000367383100022
  • scopus:84954483893
ISSN
1539-3755
DOI
10.1103/PhysRevE.92.063028
language
English
LU publication?
yes
id
2c23ed0f-e15f-4e12-ac38-bc7e9cca15e1 (old id 8506270)
date added to LUP
2016-01-04 16:00:15
date last changed
2017-07-23 03:07:25
@article{2c23ed0f-e15f-4e12-ac38-bc7e9cca15e1,
  abstract     = {By using large scale numerical simulations, we obtain fractal structure, which develops at originally planar flame fronts due to the hydrodynamic Darrieus-Landau (DL) instability bending the fronts. We clarify some important issues regarding the DL fractal flames, which have been debated for a long time. We demonstrate an increase of the flame propagation speed with the hypothetic channel width, which controls the length scale of the instability development. We show that this increase may be fitted by a power law indicating the mean fractal properties of the flame front structure. The power exponent in this law is found to be not a universal constant, rather it depends on the flame properties—on the density drop at the front. Using box counting on the simulated flame front shapes we show the fractal flame dimension at the intermediate scale is smaller than the one given by the power law, but it has a similar dependency on the density drop. We also obtain a formation of pockets at the DL fractal flame fronts, which previously has been associated only with turbulent burning.},
  articleno    = {063028},
  author       = {Yu, Rixin and Bai, Xue-Song and Bychkov, Vitaly},
  issn         = {1539-3755},
  keyword      = {Darrieus-Landau instability,Fractal flame structure},
  language     = {eng},
  number       = {6},
  publisher    = {American Physical Society},
  series       = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00},
  title        = {Fractal flame structure due to the hydrodynamic Darrieus-Landau instability},
  url          = {http://dx.doi.org/10.1103/PhysRevE.92.063028},
  volume       = {92},
  year         = {2015},
}