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DNS study of the bending effect due to smoothing mechanism

Yu, Rixin LU and Lipatnikov, Andrei N. (2019) In Fluids 4(1).
Abstract


Propagation of either an infinitely thin interface or a reaction wave of a nonzero thickness in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence is simulated by solving unsteady 3D Navier-Stokes equations and either a level set (G) or a reaction-diffusion equation, respectively, with all other things being equal. In the case of the interface, the fully developed bulk consumption velocity normalized using the laminar-wave speed S
L
depends linearly on the normalized rms velocity u ... (More)


Propagation of either an infinitely thin interface or a reaction wave of a nonzero thickness in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence is simulated by solving unsteady 3D Navier-Stokes equations and either a level set (G) or a reaction-diffusion equation, respectively, with all other things being equal. In the case of the interface, the fully developed bulk consumption velocity normalized using the laminar-wave speed S
L
depends linearly on the normalized rms velocity u
0
/S
L
. In the case of the reaction wave of a nonzero thickness, dependencies of the normalized bulk consumption velocity on u
0
/S
L
show bending, with the effect being increased by a ratio of the laminar-wave thickness to the turbulence length scale. The obtained bending effect is controlled by a decrease in the rate of an increase δA
F
in the reaction-zone-surface area with increasing u
0
/S
L
. In its turn, the bending of the δA
F
(u
0
/S
L
)-curves stems from inefficiency of small-scale turbulent eddies in wrinkling the reaction-zone surface, because such small-scale wrinkles characterized by a high local curvature are smoothed out by molecular transport within the reaction wave.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Bending effect, Direct numerical simulations, Molecular transport, Reaction surface area, Reaction waves, Turbulent consumption velocity, Turbulent reacting flows
in
Fluids
volume
4
issue
1
article number
31
publisher
MDPI AG
external identifiers
  • scopus:85063375172
ISSN
2311-5521
DOI
10.3390/fluids4010031
language
English
LU publication?
yes
id
6a7fe18a-ab49-411c-8189-728fae148341
date added to LUP
2019-04-08 11:07:15
date last changed
2022-04-25 22:19:30
@article{6a7fe18a-ab49-411c-8189-728fae148341,
  abstract     = {{<p><br>
                                                         Propagation of either an infinitely thin interface or a reaction wave of a nonzero thickness in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence is simulated by solving unsteady 3D Navier-Stokes equations and either a level set (G) or a reaction-diffusion equation, respectively, with all other things being equal. In the case of the interface, the fully developed bulk consumption velocity normalized using the laminar-wave speed S                             <br>
                            <sub>L</sub><br>
                                                          depends linearly on the normalized rms velocity u                             <br>
                            <sup>0</sup><br>
                                                         /S                             <br>
                            <sub>L</sub><br>
                                                         . In the case of the reaction wave of a nonzero thickness, dependencies of the normalized bulk consumption velocity on u                             <br>
                            <sup>0</sup><br>
                                                         /S                             <br>
                            <sub>L</sub><br>
                                                          show bending, with the effect being increased by a ratio of the laminar-wave thickness to the turbulence length scale. The obtained bending effect is controlled by a decrease in the rate of an increase δA                             <br>
                            <sub>F</sub><br>
                                                          in the reaction-zone-surface area with increasing u                             <br>
                            <sup>0</sup><br>
                                                         /S                             <br>
                            <sub>L</sub><br>
                                                         . In its turn, the bending of the δA                             <br>
                            <sub>F</sub><br>
                                                         (u                             <br>
                            <sup>0</sup><br>
                                                         /S                             <br>
                            <sub>L</sub><br>
                                                         )-curves stems from inefficiency of small-scale turbulent eddies in wrinkling the reaction-zone surface, because such small-scale wrinkles characterized by a high local curvature are smoothed out by molecular transport within the reaction wave.                         <br>
                        </p>}},
  author       = {{Yu, Rixin and Lipatnikov, Andrei N.}},
  issn         = {{2311-5521}},
  keywords     = {{Bending effect; Direct numerical simulations; Molecular transport; Reaction surface area; Reaction waves; Turbulent consumption velocity; Turbulent reacting flows}},
  language     = {{eng}},
  number       = {{1}},
  publisher    = {{MDPI AG}},
  series       = {{Fluids}},
  title        = {{DNS study of the bending effect due to smoothing mechanism}},
  url          = {{http://dx.doi.org/10.3390/fluids4010031}},
  doi          = {{10.3390/fluids4010031}},
  volume       = {{4}},
  year         = {{2019}},
}