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DNS STUDY OF ROLE PLAYED BY MOLECULAR TRANSPORT IN BENDING EFFECT

Yu, Rixin LU and Lipatnikov, Andrei N. (2017) Tenth mediterranean Combustion Symposium
Abstract
A DNS study of propagation of either an infinitely thin passive interface or a reaction wave of a nonzero thickness in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence was performed by solving Navier-Stokes equations and either level set or reaction-diffusion equation, respectively, with all other things being equal. The simulations covered a wide range of conditions, i.e. five different (from 0.5 to 10.0) ratios of the rms turbulent velocity u' to the laminar wave speed S_L^0, three different (2.1, 3.7, and 6.7) ratios of the integral length scale L_11 of the turbulence to the laminar wave thickness δ_F, three different turbulent Reynolds numbers, and two different Zeldovich numbers Ze = 6.0 and 17.1.... (More)
A DNS study of propagation of either an infinitely thin passive interface or a reaction wave of a nonzero thickness in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence was performed by solving Navier-Stokes equations and either level set or reaction-diffusion equation, respectively, with all other things being equal. The simulations covered a wide range of conditions, i.e. five different (from 0.5 to 10.0) ratios of the rms turbulent velocity u' to the laminar wave speed S_L^0, three different (2.1, 3.7, and 6.7) ratios of the integral length scale L_11 of the turbulence to the laminar wave thickness δ_F, three different turbulent Reynolds numbers, and two different Zeldovich numbers Ze = 6.0 and 17.1. Accordingly, the Damköhler Da and Karlovitz Ka numbers were varied from 0.2 to 13.5 and 0.55 to 36.2, respectively, thus, covering both flamelet and thin-reaction-zone regimes of premixed turbulent combustion. The computed fully-developed bulk consumption velocity is significantly reduced when L_11⁄δ_F is decreased, with the effect being most pronounced at the highest u'⁄(S_L^0 )=10. Moreover, the consumption velocity normalized using S_L^0 and obtained by simulating the self-propagation of an infinitely thin interface by solving the level set equation depends linearly on u'⁄(S_L^0 ). On the contrary, dependencies of the normalized consumption velocity on u'⁄(S_L^0 ), computed by solving the reaction-diffusion equation (which describes a reaction wave of a nonzero thickness), show bending, with the effect being increased by δ_F⁄L_11 . Under conditions of the present study, the bending effect is controlled by a decrease in the rate of a relative increase δA_F in the reaction-zone-surface area with increasing u'⁄(S_L^0 ). In its turn, the bending of the δA_F (u'⁄(S_L^0 ))-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. (Less)
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12 pages
conference name
Tenth mediterranean Combustion Symposium
language
English
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yes
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dd94880e-5b9e-4dac-bbce-57e16ee38c5a
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http://ircserver2.irc.cnr.it/wordp/wp-content/uploads/2017/09/TC29_Yu.pdf
date added to LUP
2017-10-04 18:33:34
date last changed
2017-11-14 09:49:26
@misc{dd94880e-5b9e-4dac-bbce-57e16ee38c5a,
  abstract     = {A DNS study of propagation of either an infinitely thin passive interface or a reaction wave of a nonzero thickness in forced, constant-density, statistically stationary, homogeneous, isotropic turbulence was performed by solving Navier-Stokes equations and either level set or reaction-diffusion equation, respectively, with all other things being equal. The simulations covered a wide range of conditions, i.e. five different  (from 0.5 to 10.0) ratios of the rms turbulent velocity u' to the laminar wave speed S_L^0, three different (2.1, 3.7, and 6.7) ratios of the integral length scale L_11 of the turbulence to the laminar wave thickness δ_F, three different turbulent Reynolds numbers, and two different Zeldovich numbers Ze = 6.0 and 17.1. Accordingly, the Damköhler Da and Karlovitz Ka numbers were varied from 0.2 to 13.5 and 0.55 to 36.2, respectively, thus, covering both flamelet and thin-reaction-zone regimes of premixed turbulent combustion. The computed fully-developed bulk consumption velocity is significantly reduced when L_11⁄δ_F  is decreased, with the effect being most pronounced at the highest u'⁄(S_L^0 )=10. Moreover, the consumption velocity normalized using S_L^0 and obtained by simulating the self-propagation of an infinitely thin interface by solving the level set equation depends linearly on u'⁄(S_L^0 ). On the contrary, dependencies of the normalized consumption velocity on u'⁄(S_L^0 ), computed by solving the reaction-diffusion equation (which describes a reaction wave of a nonzero thickness), show bending, with the effect being increased by δ_F⁄L_11 . Under conditions of the present study, the bending effect is controlled by a decrease in the rate of a relative increase δA_F in the reaction-zone-surface area with increasing u'⁄(S_L^0 ). In its turn, the bending of the δA_F (u'⁄(S_L^0 ))-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.},
  author       = {Yu, Rixin and Lipatnikov, Andrei N.},
  language     = {eng},
  pages        = {12},
  title        = {DNS STUDY OF ROLE PLAYED BY MOLECULAR TRANSPORT IN BENDING EFFECT},
  year         = {2017},
}