Direct numerical simulation study of statistically stationary propagation of a reaction wave in homogeneous turbulence
(2017) In Physical Review E 95(6).- Abstract
A three-dimensional (3D) direct numerical simulation (DNS) study of the propagation of a reaction wave in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence is performed by solving Navier-Stokes and reaction-diffusion equations at various (from 0.5 to 10) ratios of the rms turbulent velocity U′ to the laminar wave speed, various (from 2.1 to 12.5) ratios of an integral length scale of the turbulence to the laminar wave thickness, and two Zeldovich numbers Ze=6.0 and 17.1. Accordingly, the Damköhler and Karlovitz numbers are varied from 0.2 to 25.1 and from 0.4 to 36.2, respectively. Contrary to an earlier DNS study of self-propagation of an infinitely thin front in statistically the same turbulence,... (More)
A three-dimensional (3D) direct numerical simulation (DNS) study of the propagation of a reaction wave in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence is performed by solving Navier-Stokes and reaction-diffusion equations at various (from 0.5 to 10) ratios of the rms turbulent velocity U′ to the laminar wave speed, various (from 2.1 to 12.5) ratios of an integral length scale of the turbulence to the laminar wave thickness, and two Zeldovich numbers Ze=6.0 and 17.1. Accordingly, the Damköhler and Karlovitz numbers are varied from 0.2 to 25.1 and from 0.4 to 36.2, respectively. Contrary to an earlier DNS study of self-propagation of an infinitely thin front in statistically the same turbulence, the bending of dependencies of the mean wave speed on U′ is simulated in the case of a nonzero thickness of the local reaction wave. The bending effect is argued to be controlled by inefficiency of the smallest scale turbulent eddies in wrinkling the reaction-zone surface, because such small-scale wrinkles are rapidly smoothed out by molecular transport within the local reaction wave.
(Less)
- author
- Yu, Rixin LU and Lipatnikov, Andrei N.
- organization
- publishing date
- 2017-06-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E
- volume
- 95
- issue
- 6
- article number
- 063101
- publisher
- American Physical Society
- external identifiers
-
- scopus:85020229778
- wos:000402478400002
- pmid:28709298
- ISSN
- 2470-0045
- DOI
- 10.1103/PhysRevE.95.063101
- language
- English
- LU publication?
- yes
- id
- 5d9b394a-df15-4460-a3d8-532e4a77de39
- date added to LUP
- 2017-06-27 14:07:41
- date last changed
- 2024-03-17 16:28:51
@article{5d9b394a-df15-4460-a3d8-532e4a77de39,
abstract = {{<p>A three-dimensional (3D) direct numerical simulation (DNS) study of the propagation of a reaction wave in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence is performed by solving Navier-Stokes and reaction-diffusion equations at various (from 0.5 to 10) ratios of the rms turbulent velocity U′ to the laminar wave speed, various (from 2.1 to 12.5) ratios of an integral length scale of the turbulence to the laminar wave thickness, and two Zeldovich numbers Ze=6.0 and 17.1. Accordingly, the Damköhler and Karlovitz numbers are varied from 0.2 to 25.1 and from 0.4 to 36.2, respectively. Contrary to an earlier DNS study of self-propagation of an infinitely thin front in statistically the same turbulence, the bending of dependencies of the mean wave speed on U′ is simulated in the case of a nonzero thickness of the local reaction wave. The bending effect is argued to be controlled by inefficiency of the smallest scale turbulent eddies in wrinkling the reaction-zone surface, because such small-scale wrinkles are rapidly smoothed out by molecular transport within the local reaction wave.</p>}},
author = {{Yu, Rixin and Lipatnikov, Andrei N.}},
issn = {{2470-0045}},
language = {{eng}},
month = {{06}},
number = {{6}},
publisher = {{American Physical Society}},
series = {{Physical Review E}},
title = {{Direct numerical simulation study of statistically stationary propagation of a reaction wave in homogeneous turbulence}},
url = {{http://dx.doi.org/10.1103/PhysRevE.95.063101}},
doi = {{10.1103/PhysRevE.95.063101}},
volume = {{95}},
year = {{2017}},
}