A priori analysis of a power-law mixing model for transported PDF model based on high Karlovitz turbulent premixed DNS flames

Pei Zhang; Tianfang Xie; Hemanth Kolla; Haiou Wang; Evatt R. Hawkes; Jacqueline H. Chen; Haifeng Wang

doi:10.1016/j.proci.2020.06.183

A priori analysis of a power-law mixing model for transported PDF model based on high Karlovitz turbulent premixed DNS flames

Pei Zhang, Tianfang Xie, Hemanth Kolla, Haiou Wang, Evatt R. Hawkes, Jacqueline H. Chen, Haifeng Wang

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Accurate modeling of mixing in large-eddy simulation (LES)/transported probability density function (PDF) modeling of turbulent combustion remains an outstanding issue. The issue is particularly salient in turbulent premixed combustion under extreme conditions such as high-Karlovitz number Ka. The present study addresses this issue by conducting an a priori analysis of a power-law scaling based mixing timescale model for the transported PDF model. A recently produced DNS dataset of a high-Ka turbulent jet flame is used for the analysis. A power-law scaling is observed for a scaling factor used to model the sub-filter scale mixing timescale in this high-Ka turbulent premixed DNS flame when the LES filter size is much greater than the characteristic thermal thickness of a laminar premixed flame. The sensitivity of the observed power-law scaling to the different viewpoints (local or global) and to the different scalars for the data analysis is examined and the dependence of the model parameters on the dimensionless numbers Ka and Re (the Reynolds number) is investigated. Different model formulations for the mixing timescale are then constructed and assessed in the DNS flame. The proposed model is found to be able to reproduce the mixing timescale informed by the high-Ka DNS flame significantly better than a previous model.

Original language	English
Pages (from-to)	2917-2927
Number of pages	11
Journal	Proceedings of the Combustion Institute
Volume	38
Issue number	2
DOIs	https://doi.org/10.1016/j.proci.2020.06.183
State	Published - Jan 2021
Externally published	Yes

Funding

The work at Purdue was supported by the National Science Foundation under Grant no. CBET-1336075 and by the US Department of Energys Office of Energy Efficiency and Renewable Energy (EERE) under the Vehicle Technologies Office, Award Number DE-EE0008876. The work at Sandia National Laboratories was supported by the US Department of Energy, Office of Basic Energy Sciences, Division of Chemical Sciences, Geosciences, and Biosciences. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energys National Nuclear Security Administration under contract DE-NA0003525. The views expressed herein do not necessarily represent the views of the U.S. Department of Energy or the United States Government.

Keywords

High Karlovitz number DNS flame
Mixing timescale
Power-law scaling
Transported PDF method
Turbulent premixed combustion

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10.1016/j.proci.2020.06.183

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title = "A priori analysis of a power-law mixing model for transported PDF model based on high Karlovitz turbulent premixed DNS flames",

abstract = "Accurate modeling of mixing in large-eddy simulation (LES)/transported probability density function (PDF) modeling of turbulent combustion remains an outstanding issue. The issue is particularly salient in turbulent premixed combustion under extreme conditions such as high-Karlovitz number Ka. The present study addresses this issue by conducting an a priori analysis of a power-law scaling based mixing timescale model for the transported PDF model. A recently produced DNS dataset of a high-Ka turbulent jet flame is used for the analysis. A power-law scaling is observed for a scaling factor used to model the sub-filter scale mixing timescale in this high-Ka turbulent premixed DNS flame when the LES filter size is much greater than the characteristic thermal thickness of a laminar premixed flame. The sensitivity of the observed power-law scaling to the different viewpoints (local or global) and to the different scalars for the data analysis is examined and the dependence of the model parameters on the dimensionless numbers Ka and Re (the Reynolds number) is investigated. Different model formulations for the mixing timescale are then constructed and assessed in the DNS flame. The proposed model is found to be able to reproduce the mixing timescale informed by the high-Ka DNS flame significantly better than a previous model.",

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author = "Pei Zhang and Tianfang Xie and Hemanth Kolla and Haiou Wang and Hawkes, {Evatt R.} and Chen, {Jacqueline H.} and Haifeng Wang",

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AU - Hawkes, Evatt R.

AU - Chen, Jacqueline H.

AU - Wang, Haifeng

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A priori analysis of a power-law mixing model for transported PDF model based on high Karlovitz turbulent premixed DNS flames

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