Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation Study

The statistics of mean fluid velocity components conditional in unburned reactants and fully burned products in the context of Reynolds Averaged Navier Stokes (RANS) simulations have been studied using a Direct Numerical Simulation database of statistically planar turbulent premixed flame representi...

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Main Authors: Nilanjan Chakraborty, Andrei N. Lipatnikov
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Combustion
Online Access:http://dx.doi.org/10.1155/2011/628208
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author Nilanjan Chakraborty
Andrei N. Lipatnikov
author_facet Nilanjan Chakraborty
Andrei N. Lipatnikov
author_sort Nilanjan Chakraborty
collection DOAJ
description The statistics of mean fluid velocity components conditional in unburned reactants and fully burned products in the context of Reynolds Averaged Navier Stokes (RANS) simulations have been studied using a Direct Numerical Simulation database of statistically planar turbulent premixed flame representing the corrugated flamelets regime combustion. Expressions for conditional mean velocity and conditional velocity correlations which are derived based on a presumed bimodal probability density function of reaction progress variable for unity Lewis number flames are assessed in this study with respect to the corresponding quantities extracted from DNS data. In particular, conditional surface averaged velocities (ui)¯Rs and the velocity correlations (uiu)j¯Rs in the unburned reactants are demonstrated to be effectively modelled by the unconditional velocities (ui)¯R and velocity correlations (uiuj)¯R, respectively, for the major part of turbulent flame brush with the exception of the leading edge. By contrast, conditional surface averaged velocities (ui)¯Ps and the velocity correlations (uiu)j¯Ps in fully burned products are shown to be markedly different from the unconditional velocities (ui)¯P and velocity correlations (uiuj)¯P, respectively.
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spelling doaj-art-a8c9c897a37c48ad88ae2467d362d2872025-02-03T05:44:37ZengWileyJournal of Combustion2090-19682090-19762011-01-01201110.1155/2011/628208628208Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation StudyNilanjan Chakraborty0Andrei N. Lipatnikov1School of Mechanical and System Engineering, Newcastle University, Claremont Road, Newcastle-upon-tyne NE1 7RU, UKDepartment of Applied Mechanics, Chalmers University of Technology, 412 96, Gothenberg, SwedenThe statistics of mean fluid velocity components conditional in unburned reactants and fully burned products in the context of Reynolds Averaged Navier Stokes (RANS) simulations have been studied using a Direct Numerical Simulation database of statistically planar turbulent premixed flame representing the corrugated flamelets regime combustion. Expressions for conditional mean velocity and conditional velocity correlations which are derived based on a presumed bimodal probability density function of reaction progress variable for unity Lewis number flames are assessed in this study with respect to the corresponding quantities extracted from DNS data. In particular, conditional surface averaged velocities (ui)¯Rs and the velocity correlations (uiu)j¯Rs in the unburned reactants are demonstrated to be effectively modelled by the unconditional velocities (ui)¯R and velocity correlations (uiuj)¯R, respectively, for the major part of turbulent flame brush with the exception of the leading edge. By contrast, conditional surface averaged velocities (ui)¯Ps and the velocity correlations (uiu)j¯Ps in fully burned products are shown to be markedly different from the unconditional velocities (ui)¯P and velocity correlations (uiuj)¯P, respectively.http://dx.doi.org/10.1155/2011/628208
spellingShingle Nilanjan Chakraborty
Andrei N. Lipatnikov
Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation Study
Journal of Combustion
title Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation Study
title_full Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation Study
title_fullStr Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation Study
title_full_unstemmed Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation Study
title_short Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation Study
title_sort statistics of conditional fluid velocity in the corrugated flamelets regime of turbulent premixed combustion a direct numerical simulation study
url http://dx.doi.org/10.1155/2011/628208
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