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DNS study of dependence of bulk consumption velocity in a constant-density reacting flow on turbulence and mixture characteristics

Yu, Rixin LU and Lipatnikov, Andrei N. (2017) In Physics of Fluids 29(6).
Abstract

3D Direct Numerical Simulation (DNS) study of propagation of a single-reaction wave in forced, statistically stationary, homogeneous, isotropic, and constant-density turbulence was performed in order to evaluate both developing Ut T and fully developed Us T bulk turbulent consumption velocities by independently varying a ratio of 0.5 ≤ u'=SL ≤ 90 of the r.m.s. turbulent velocity to the laminar wave speed and a ratio of 0.39 ≤ L11=δF ≤ 12.5 of the longitudinal integral length scale of the turbulence to the laminar wave thickness. Accordingly, the Damköhler Da = (L11SL)=(u'δF) and Karlovitz Ka = δF=(SLτη) numbers were... (More)

3D Direct Numerical Simulation (DNS) study of propagation of a single-reaction wave in forced, statistically stationary, homogeneous, isotropic, and constant-density turbulence was performed in order to evaluate both developing Ut T and fully developed Us T bulk turbulent consumption velocities by independently varying a ratio of 0.5 ≤ u'=SL ≤ 90 of the r.m.s. turbulent velocity to the laminar wave speed and a ratio of 0.39 ≤ L11=δF ≤ 12.5 of the longitudinal integral length scale of the turbulence to the laminar wave thickness. Accordingly, the Damköhler Da = (L11SL)=(u'δF) and Karlovitz Ka = δF=(SLτη) numbers were varied from 0.01 to 24.7 and from 0.36 to 587, respectively. Here, τ is the Kolmogorov time scale. The obtained DNS data show that, at sufficiently low Da, the fully developed ratio of Us T/u' is mainly controlled by Da and scales as p Da. However, such a scaling should not be extrapolated to high Da. The higher Da (or the lower Ka), the less pronounced dependence of Us T/u' on a ratio of L11F. Moreover, scaling laws UT α u'αS1-α L(L11F)β are substantially different for developing Ut T and fully developed Us T , i.e., the scaling exponents α and, especially, β depend on the wave-development time. Furthermore, α and, especially, depend on a method used to evaluate the developing Ut T . Such effects can contribute to significant scatter of expressions for UT or ST as a function of (u', SL, L11, δF), obtained by parameterizing various experimental databases.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physics of Fluids
volume
29
issue
6
publisher
American Institute of Physics
external identifiers
  • scopus:85021856287
  • wos:000404636900045
ISSN
1070-6631
DOI
10.1063/1.4990836
language
English
LU publication?
yes
id
9cd86f62-f699-41fd-985b-2fabb177c76a
date added to LUP
2017-07-24 12:30:39
date last changed
2017-09-18 11:39:11
@article{9cd86f62-f699-41fd-985b-2fabb177c76a,
  abstract     = {<p>3D Direct Numerical Simulation (DNS) study of propagation of a single-reaction wave in forced, statistically stationary, homogeneous, isotropic, and constant-density turbulence was performed in order to evaluate both developing U<sup>t</sup> <sub>T</sub> and fully developed U<sup>s</sup> <sub>T</sub> bulk turbulent consumption velocities by independently varying a ratio of 0.5 ≤ u'=S<sub>L</sub> ≤ 90 of the r.m.s. turbulent velocity to the laminar wave speed and a ratio of 0.39 ≤ L11=δF ≤ 12.5 of the longitudinal integral length scale of the turbulence to the laminar wave thickness. Accordingly, the Damköhler Da = (L<sub>11</sub>S<sub>L</sub>)=(u'δ<sub>F</sub>) and Karlovitz Ka = δ<sub>F</sub>=(S<sub>L</sub>τ<sub>η</sub>) numbers were varied from 0.01 to 24.7 and from 0.36 to 587, respectively. Here, τ is the Kolmogorov time scale. The obtained DNS data show that, at sufficiently low Da, the fully developed ratio of U<sup>s</sup> <sub>T</sub>/u' is mainly controlled by Da and scales as p Da. However, such a scaling should not be extrapolated to high Da. The higher Da (or the lower Ka), the less pronounced dependence of U<sup>s</sup> <sub>T</sub>/u' on a ratio of L<sub>11</sub>/δ<sub>F</sub>. Moreover, scaling laws U<sub>T</sub> α u'αS<sup>1-α</sup> <sub>L</sub>(L<sub>11</sub>=δ<sub>F</sub>)<sup>β</sup> are substantially different for developing U<sup>t</sup> <sub>T</sub> and fully developed U<sup>s</sup> <sub>T</sub> , i.e., the scaling exponents α and, especially, β depend on the wave-development time. Furthermore, α and, especially, depend on a method used to evaluate the developing U<sup>t</sup> <sub>T</sub> . Such effects can contribute to significant scatter of expressions for U<sub>T</sub> or S<sub>T</sub> as a function of (u', S<sub>L</sub>, L<sub>11</sub>, δ<sub>F</sub>), obtained by parameterizing various experimental databases.</p>},
  articleno    = {065116},
  author       = {Yu, Rixin and Lipatnikov, Andrei N.},
  issn         = {1070-6631},
  language     = {eng},
  month        = {06},
  number       = {6},
  publisher    = {American Institute of Physics},
  series       = {Physics of Fluids},
  title        = {DNS study of dependence of bulk consumption velocity in a constant-density reacting flow on turbulence and mixture characteristics},
  url          = {http://dx.doi.org/10.1063/1.4990836},
  volume       = {29},
  year         = {2017},
}