Fractal flame structure due to the hydrodynamic Darrieus-Landau instability
(2015) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8506270
- author
- Yu, Rixin LU ; Bai, Xue-Song LU and Bychkov, Vitaly
- organization
- publishing date
- 2015
- 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)
- volume
- 92
- issue
- 6
- article number
- 063028
- publisher
- American Physical Society
- external identifiers
-
- pmid:26764824
- wos:000367383100022
- scopus:84954483893
- pmid:26764824
- 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
- 2016-04-01 10:06:06
- date last changed
- 2022-01-25 19:40:14
@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.}},
author = {{Yu, Rixin and Bai, Xue-Song and Bychkov, Vitaly}},
issn = {{1539-3755}},
keywords = {{Darrieus-Landau instability; Fractal flame structure}},
language = {{eng}},
number = {{6}},
publisher = {{American Physical Society}},
series = {{Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}},
title = {{Fractal flame structure due to the hydrodynamic Darrieus-Landau instability}},
url = {{http://dx.doi.org/10.1103/PhysRevE.92.063028}},
doi = {{10.1103/PhysRevE.92.063028}},
volume = {{92}},
year = {{2015}},
}