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Title: Stochastic simulation of the structure and propagation rate of turbulent premixed flames

Abstract

A stochastic simulation model of the wrinkled flamelet regime of turbulent premixed combustion is shown to exhibit several postulated scaling properties governing flame structure and propagation rate. The model, based on the linear-eddy model of molecular mixing in turbulent flow, incorporates laminar burning of flamelets and the resultant decrease of flame surface area, and flamelet convection and surface area growth due to turbulent stirring. Simulated realization, implemented on a one-dimensional domain representing a longitudinal line through the turbulent flame brush, exhibit (1) linear dependence of the turbulent flame speed u{sub T} on the turbulent velocity fluctuation u{prime}, (2) fractal flame structure, and (3) an lower cutoff of fractal scaling that can be plausibly characterized either by the Kolmogorov scale L{sub K} {approximately} Re{sup {minus}3/4}L, where Re is the turbulence Reynolds number and L is the integral scale, or by the Gibson sale L{sub G} {approximately} (u{prime}/S{sub L}){sup 3}L, where S{sub L} is the laminar flame speed. The latter ambiguity indicates that the Re values investigated computationally (up to 1000) are not high enough to fully resolve the high-Re limiting behavior, reflecting an analogous limitation of typical experimental configurations. The experimentally observed decrease of the fractal dimension D at low u{prime}/S{submore » L} is reproduced, and is interpreted as reflecting insufficient dynamic range to fully resolve the fractal regime rather than an intrinsic dependence of D on u{prime}/S{sub L}. 14 refs., 4 figs.« less

Authors:
 [1];  [2]
  1. Quest Integrated, Inc., Kent, WA (United States)
  2. Sandia National Labs., Livermore, CA (United States)
Publication Date:
Research Org.:
Sandia National Labs., Livermore, CA (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
10115643
Report Number(s):
SAND-91-8742; CONF-920707-14
ON: DE92006682
DOE Contract Number:  
AC04-76DR00789
Resource Type:
Conference
Resource Relation:
Conference: 24. international symposium on combustion,Sydney (Australia),5-10 Jul 1992; Other Information: PBD: [1992]
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; FLAMES; COMPUTERIZED SIMULATION; TURBULENT FLOW; MIXING; KOLMOGOROV EQUATION; REYNOLDS NUMBER; FRACTALS; SCALING LAWS; 400800; 990200; COMBUSTION, PYROLYSIS, AND HIGH-TEMPERATURE CHEMISTRY; MATHEMATICS AND COMPUTERS

Citation Formats

Menon, S, and Kerstein, A R. Stochastic simulation of the structure and propagation rate of turbulent premixed flames. United States: N. p., 1992. Web.
Menon, S, & Kerstein, A R. Stochastic simulation of the structure and propagation rate of turbulent premixed flames. United States.
Menon, S, and Kerstein, A R. Sat . "Stochastic simulation of the structure and propagation rate of turbulent premixed flames". United States.
@article{osti_10115643,
title = {Stochastic simulation of the structure and propagation rate of turbulent premixed flames},
author = {Menon, S and Kerstein, A R},
abstractNote = {A stochastic simulation model of the wrinkled flamelet regime of turbulent premixed combustion is shown to exhibit several postulated scaling properties governing flame structure and propagation rate. The model, based on the linear-eddy model of molecular mixing in turbulent flow, incorporates laminar burning of flamelets and the resultant decrease of flame surface area, and flamelet convection and surface area growth due to turbulent stirring. Simulated realization, implemented on a one-dimensional domain representing a longitudinal line through the turbulent flame brush, exhibit (1) linear dependence of the turbulent flame speed u{sub T} on the turbulent velocity fluctuation u{prime}, (2) fractal flame structure, and (3) an lower cutoff of fractal scaling that can be plausibly characterized either by the Kolmogorov scale L{sub K} {approximately} Re{sup {minus}3/4}L, where Re is the turbulence Reynolds number and L is the integral scale, or by the Gibson sale L{sub G} {approximately} (u{prime}/S{sub L}){sup 3}L, where S{sub L} is the laminar flame speed. The latter ambiguity indicates that the Re values investigated computationally (up to 1000) are not high enough to fully resolve the high-Re limiting behavior, reflecting an analogous limitation of typical experimental configurations. The experimentally observed decrease of the fractal dimension D at low u{prime}/S{sub L} is reproduced, and is interpreted as reflecting insufficient dynamic range to fully resolve the fractal regime rather than an intrinsic dependence of D on u{prime}/S{sub L}. 14 refs., 4 figs.},
doi = {},
url = {https://www.osti.gov/biblio/10115643}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1992},
month = {2}
}

Conference:
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