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Direct numerical simulation study of statistically stationary propagation of a reaction wave in homogeneous turbulence

Yu, Rixin LU and Lipatnikov, Andrei N. (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.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
95
issue
6
publisher
American Physical Society
external identifiers
  • scopus:85020229778
  • wos:000402478400002
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
2017-09-18 11:43:13
@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>},
  articleno    = {063101},
  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},
  volume       = {95},
  year         = {2017},
}