Modelling of the tangential strain rate term in the flame surface density transport equation in the context of Reynolds averaged Navier Stokes simulations: a direct numerical simulation analysis
type: Item
instance of: scholarly article
title: Modelling of the tangential strain rate term in the flame surface density transport equation in the context of Reynolds averaged Navier Stokes simulations: a direct numerical simulation analysis
zbMATH Open document ID: 1407.80007
DOI: 10.1155/2014/927408
author: Mohit Katragadda
author: Sean P. Malkeson
author: Nilanjan Chakraborty
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A direct numerical simulation (DNS) database of freely propagating statistically planar turbulent premixed flames with a range of different values of Karlovitz number Ka, turbulent Reynolds number \(\text{Re}_t\), heat release parameter \(\tau\), and global Lewis number Le has been used to assess the models of the tangential strain rate term in the generalised flame surface density (FSD) transport equation in the context of Reynolds averaged Navier Stokes (RANS) simulations. The tangential strain rate term has been split into contributions arising due to dilatation rate \(T_D\) and flame normal strain rate (\(- T_N\)). Subsequently, \(T_D\) and (\(- T_N\)) were split into their resolved (i.e., \(T_{D 1}\) and (\(- T_{N 1}\))) and unresolved (\(T_{D 2}\) and (\(- T_{N 2}\))) components. Detailed physical explanations have been provided for the observed behaviours of the components of the tangential strain rate term. This analysis gave way to the modelling of the unresolved dilatation rate and flame normal strain rate contributions. Models have been identified for \(T_{D 2}\) and (\(- T_{N 2}\)) for RANS simulations, which are shown to perform satisfactorily in all cases considered, accounting for the variations in Ka, \(\text{Re}_t\), \(\tau\) and Le. The performance of the newly proposed models for the FSD strain rate term have been found to be either comparable to or better than the existing models.
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76F65
zbMATH DE Number: 7017636
Wikidata QID: Q59070864
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/927408
OpenAlex ID: W2053806245
cites work: The evolution equation for the flame surface density in turbulent premixed combustion
cites work: The evolution of surfaces in turbulence
cites work: A priori analysis of the curvature and propagation terms of the flame surface density transport equation for large eddy simulation
cites work: Influence of the Damköhler number on turbulence-scalar interaction in premixed flames. I. Physical insight
cites work: Interaction of turbulence and scalar fields in premixed flames
cites work: Turbulent Combustion
cites work: Influence of Lewis number on curvature effects in turbulent premixed flame propagation in the thin reaction zones regime
cites work: An age extended progress variable for conditioning reaction rates
cites work: The effect of homogeneous turbulence on material lines and surfaces
cites work: A priori assessment of closures for scalar dissipation rate transport in turbulent premixed flames using direct numerical simulation
cites work: Q4772880
description: scientific article; zbMATH DE number 7017636