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Assessment of an Evolution Equation for the Displacement Speed of a Constant-Density Reactive Scalar Field

Yu, Rixin LU ; Nilsson, Thommie LU ; Brethouwer, Geert ; Chakraborty, Nilanjan and Lipatnikov, Andrei (2021) In Flow, Turbulence and Combustion 106(4). p.1091-1110
Abstract

The displacement speed that characterises the self-propagation of isosurfaces of a reaction progress variable is of key importance for turbulent premixed reacting flow. The evolution equation for the displacement speed was derived in a recent work of Yu and Lipatnikov (Phys Rev E 100:013107, 2019a) for the case where the flame is described by a transport equation for single reaction progress variable assuming simple transport and one-step chemistry. This equation represents interaction of a number of complex coupled mechanisms related to straining by the velocity field, surface curvature and the scalar gradient. The aim of the current work is to provide detailed physical explanations of the displacement speed equation and its various... (More)

The displacement speed that characterises the self-propagation of isosurfaces of a reaction progress variable is of key importance for turbulent premixed reacting flow. The evolution equation for the displacement speed was derived in a recent work of Yu and Lipatnikov (Phys Rev E 100:013107, 2019a) for the case where the flame is described by a transport equation for single reaction progress variable assuming simple transport and one-step chemistry. This equation represents interaction of a number of complex coupled mechanisms related to straining by the velocity field, surface curvature and the scalar gradient. The aim of the current work is to provide detailed physical explanations of the displacement speed equation and its various terms, and to provide a new perspective to understand the mechanisms responsible for observed variations in the displacement speed. The equation is then used to analyze the propagation of a statistically planar reaction wave in homogeneous isotropic constant-density turbulence using direct numerical simulations. Additional emphasis is put on retracting surface segments that have a negative displacement speed, a phenomenon that commonly occurs at high Karlovitz numbers.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Displacement speed, DNS, Premixed flame, Turbulent reacting flow
in
Flow, Turbulence and Combustion
volume
106
issue
4
pages
1091 - 1110
publisher
Springer
external identifiers
  • scopus:85081730625
ISSN
1386-6184
DOI
10.1007/s10494-020-00120-6
language
English
LU publication?
yes
id
70571d83-c835-4ef5-8f52-fdc1297ff46b
date added to LUP
2020-04-10 16:33:05
date last changed
2022-04-18 21:34:50
@article{70571d83-c835-4ef5-8f52-fdc1297ff46b,
  abstract     = {{<p>The displacement speed that characterises the self-propagation of isosurfaces of a reaction progress variable is of key importance for turbulent premixed reacting flow. The evolution equation for the displacement speed was derived in a recent work of Yu and Lipatnikov (Phys Rev E 100:013107, 2019a) for the case where the flame is described by a transport equation for single reaction progress variable assuming simple transport and one-step chemistry. This equation represents interaction of a number of complex coupled mechanisms related to straining by the velocity field, surface curvature and the scalar gradient. The aim of the current work is to provide detailed physical explanations of the displacement speed equation and its various terms, and to provide a new perspective to understand the mechanisms responsible for observed variations in the displacement speed. The equation is then used to analyze the propagation of a statistically planar reaction wave in homogeneous isotropic constant-density turbulence using direct numerical simulations. Additional emphasis is put on retracting surface segments that have a negative displacement speed, a phenomenon that commonly occurs at high Karlovitz numbers.</p>}},
  author       = {{Yu, Rixin and Nilsson, Thommie and Brethouwer, Geert and Chakraborty, Nilanjan and Lipatnikov, Andrei}},
  issn         = {{1386-6184}},
  keywords     = {{Displacement speed; DNS; Premixed flame; Turbulent reacting flow}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{1091--1110}},
  publisher    = {{Springer}},
  series       = {{Flow, Turbulence and Combustion}},
  title        = {{Assessment of an Evolution Equation for the Displacement Speed of a Constant-Density Reactive Scalar Field}},
  url          = {{http://dx.doi.org/10.1007/s10494-020-00120-6}},
  doi          = {{10.1007/s10494-020-00120-6}},
  volume       = {{106}},
  year         = {{2021}},
}