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Turbulent diffusion of chemically reacting flows : Theory and numerical simulations

Elperin, T. ; Kleeorin, N. ; Liberman, M. ; Lipatnikov, A. N. ; Rogachevskii, I. and Yu, R. LU (2017) In Physical Review E 96(5).
Abstract

The theory of turbulent diffusion of chemically reacting gaseous admixtures developed previously [T. Elperin, Phys. Rev. E 90, 053001 (2014)PLEEE81539-375510.1103/PhysRevE.90.053001] is generalized for large yet finite Reynolds numbers and the dependence of turbulent diffusion coefficient on two parameters, the Reynolds number and Damköhler number (which characterizes a ratio of turbulent and reaction time scales), is obtained. Three-dimensional direct numerical simulations (DNSs) of a finite-thickness reaction wave for the first-order chemical reactions propagating in forced, homogeneous, isotropic, and incompressible turbulence are performed to validate the theoretically predicted effect of chemical reactions on turbulent diffusion.... (More)

The theory of turbulent diffusion of chemically reacting gaseous admixtures developed previously [T. Elperin, Phys. Rev. E 90, 053001 (2014)PLEEE81539-375510.1103/PhysRevE.90.053001] is generalized for large yet finite Reynolds numbers and the dependence of turbulent diffusion coefficient on two parameters, the Reynolds number and Damköhler number (which characterizes a ratio of turbulent and reaction time scales), is obtained. Three-dimensional direct numerical simulations (DNSs) of a finite-thickness reaction wave for the first-order chemical reactions propagating in forced, homogeneous, isotropic, and incompressible turbulence are performed to validate the theoretically predicted effect of chemical reactions on turbulent diffusion. It is shown that the obtained DNS results are in good agreement with the developed theory.

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author
; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
96
issue
5
article number
053111
publisher
American Physical Society
external identifiers
  • wos:000416028000010
  • pmid:29347758
  • scopus:85037078584
ISSN
2470-0045
DOI
10.1103/PhysRevE.96.053111
language
English
LU publication?
yes
id
d7406ab3-2fa7-42d4-845d-da825c8c2c4e
date added to LUP
2017-12-18 11:31:33
date last changed
2025-01-08 03:59:32
@article{d7406ab3-2fa7-42d4-845d-da825c8c2c4e,
  abstract     = {{<p>The theory of turbulent diffusion of chemically reacting gaseous admixtures developed previously [T. Elperin, Phys. Rev. E 90, 053001 (2014)PLEEE81539-375510.1103/PhysRevE.90.053001] is generalized for large yet finite Reynolds numbers and the dependence of turbulent diffusion coefficient on two parameters, the Reynolds number and Damköhler number (which characterizes a ratio of turbulent and reaction time scales), is obtained. Three-dimensional direct numerical simulations (DNSs) of a finite-thickness reaction wave for the first-order chemical reactions propagating in forced, homogeneous, isotropic, and incompressible turbulence are performed to validate the theoretically predicted effect of chemical reactions on turbulent diffusion. It is shown that the obtained DNS results are in good agreement with the developed theory.</p>}},
  author       = {{Elperin, T. and Kleeorin, N. and Liberman, M. and Lipatnikov, A. N. and Rogachevskii, I. and Yu, R.}},
  issn         = {{2470-0045}},
  language     = {{eng}},
  month        = {{11}},
  number       = {{5}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review E}},
  title        = {{Turbulent diffusion of chemically reacting flows : Theory and numerical simulations}},
  url          = {{http://dx.doi.org/10.1103/PhysRevE.96.053111}},
  doi          = {{10.1103/PhysRevE.96.053111}},
  volume       = {{96}},
  year         = {{2017}},
}