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Title: A priori analysis of a power-law sub-filter scale mixing model for transported PDF modeling of high Karlovitz turbulent premixed 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. Here, 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-Kamore » DNS flame significantly better than a previous model.« less

Authors:
 [1];  [2];  [3];  [4];  [5];  [3];  [2]
+ Show Author Affiliations
  1. Purdue Univ., West Lafayette, IN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Purdue Univ., West Lafayette, IN (United States)
  3. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  4. Zhejiang Univ., Hangzhou (China)
  5. Univ. of New South Wales, Sydney, NSW (Australia)
Publication Date:
Research Org.:
Purdue Univ., West Lafayette, IN (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Transportation Office. Vehicle Technologies Office; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; USDOE
OSTI Identifier:
1642113
Alternate Identifier(s):
OSTI ID: 1777028
Grant/Contract Number:  
EE0008876; NA0003525; CBET-1336075
Resource Type:
Accepted Manuscript
Journal Name:
Proceedings of the Combustion Institute
Additional Journal Information:
Journal Volume: 38; Journal Issue: 2; Journal ID: ISSN 1540-7489
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Power-law scaling; mixing timescale; transported PDF method; high Karlovitz number DNS flame; turbulent premixed combustion

Citation Formats

Zhang, Pei, Xie, Tianfang, Kolla, Hemanth, Wang, Haiou, Hawkes, Evatt R., Chen, Jacqueline H., and Wang, Haifeng. A priori analysis of a power-law sub-filter scale mixing model for transported PDF modeling of high Karlovitz turbulent premixed flames. United States: N. p., 2020. Web. doi:10.1016/j.proci.2020.06.183.
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Zhang, Pei, Xie, Tianfang, Kolla, Hemanth, Wang, Haiou, Hawkes, Evatt R., Chen, Jacqueline H., & Wang, Haifeng. A priori analysis of a power-law sub-filter scale mixing model for transported PDF modeling of high Karlovitz turbulent premixed flames. United States. https://doi.org/10.1016/j.proci.2020.06.183
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Zhang, Pei, Xie, Tianfang, Kolla, Hemanth, Wang, Haiou, Hawkes, Evatt R., Chen, Jacqueline H., and Wang, Haifeng. Thu . "A priori analysis of a power-law sub-filter scale mixing model for transported PDF modeling of high Karlovitz turbulent premixed flames". United States. https://doi.org/10.1016/j.proci.2020.06.183. https://www.osti.gov/servlets/purl/1642113.
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@article{osti_1642113,
title = {A priori analysis of a power-law sub-filter scale mixing model for transported PDF modeling of high Karlovitz turbulent premixed flames},
author = {Zhang, Pei and Xie, Tianfang and Kolla, Hemanth and Wang, Haiou and Hawkes, Evatt R. and Chen, Jacqueline H. and Wang, Haifeng},
abstractNote = {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. Here, 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.},
doi = {10.1016/j.proci.2020.06.183},
journal = {Proceedings of the Combustion Institute},
number = 2,
volume = 38,
place = {United States},
year = {Thu Jul 23 00:00:00 EDT 2020},
month = {Thu Jul 23 00:00:00 EDT 2020}
}
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https://doi.org/10.1016/j.proci.2020.06.183
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Works referenced in this record:

Turbulence measurements in axisymmetric jets of air and helium. Part 2. Helium jet
journal, January 1993

Consistent modeling of differential molecular diffusion to yield desired Reynolds-number power-law scaling
journal, August 2018

  • Han, Chao; Pant, Tejas; Jain, Utsav
  • Physics of Fluids, Vol. 30, Issue 8
  • DOI: 10.1063/1.5045336

Filtered density function for large eddy simulation of turbulent reacting flows
journal, February 1998

  • Colucci, P. J.; Jaberi, F. A.; Givi, P.
  • Physics of Fluids, Vol. 10, Issue 2
  • DOI: 10.1063/1.869537

Scalar Filtered Density Function for Large Eddy Simulation of a Bunsen Burner
journal, January 2010

  • Yilmaz, S. L.; Nik, M. B.; Givi, P.
  • Journal of Propulsion and Power, Vol. 26, Issue 1
  • DOI: 10.2514/1.44600

Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion
journal, January 1999

Flamelet and distributed combustion in premixed turbulent flames
journal, January 1985

PDF methods for turbulent reactive flows
journal, January 1985

A particle formulation for treating differential diffusion in filtered density function methods
journal, September 2007

Turbulent combustion modelling
journal, January 1988

Large eddy simulation/probability density function modeling of a turbulent <mml:math altimg="si195.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:msub><mml:mrow><mml:mtext>CH</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mtext>H</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mtext>N</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> jet flame
journal, January 2011

Scalar dissipation rate modelling for Large Eddy Simulation of turbulent premixed flames
journal, January 2013

  • Dunstan, T. D.; Minamoto, Y.; Chakraborty, N.
  • Proceedings of the Combustion Institute, Vol. 34, Issue 1
  • DOI: 10.1016/j.proci.2012.06.143

A petascale direct numerical simulation study of the modelling of flame wrinkling for large-eddy simulations in intense turbulence
journal, August 2012

A novel transient turbulent jet flame for studying turbulent combustion
journal, January 2013

  • Wang, Haifeng; Juddoo, Mrinal; Starner, Sten H.
  • Proceedings of the Combustion Institute, Vol. 34, Issue 1
  • DOI: 10.1016/j.proci.2012.06.021

A direct numerical simulation study of flame structure and stabilization of an experimental high Ka CH4/air premixed jet flame
journal, June 2017

Studies of the flow and turbulence fields in a turbulent pulsed jet flame using LES/PDF
journal, April 2017

Multifractal Nature of the Dissipation Field of Passive Scalars in Fully Turbulent Flows
journal, July 1988

Evaluation of scalar mixing and time scale models in PDF simulations of a turbulent premixed flame
journal, September 2010

LES of a turbulent premixed swirl burner using the Eulerian stochastic field method
journal, October 2012

Computational study of lean premixed turbulent flames using RANSPDF and LESPDF methods
journal, August 2013

The detailed flame structure of highly stretched turbulent premixed methane-air flames
journal, November 1996

Large Eddy Simulation of Premixed Turbulent Flames Using the Probability Density Function Approach
journal, February 2013

Transported PDF modeling of high-Reynolds-number premixed turbulent flames
journal, May 2006

A mixing timescale model for TPDF simulations of turbulent premixed flames
journal, March 2017

LES/PDF Modeling of Turbulent Premixed Flames with Locally Enhanced Mixing by Reaction
journal, July 2017

Large-eddy simulation/probability density function modeling of a non-premixed CO/H2 temporally evolving jet flame
journal, January 2013

  • Yang, Yue; Wang, Haifeng; Pope, Stephen B.
  • Proceedings of the Combustion Institute, Vol. 34, Issue 1
  • DOI: 10.1016/j.proci.2012.08.015

A mixing model for turbulent reactive flows based on Euclidean minimum spanning trees
journal, December 1998

Direct numerical simulations of a high Karlovitz number laboratory premixed jet flame – an analysis of flame stretch and flame thickening
journal, February 2017

  • Wang, Haiou; Hawkes, Evatt R.; Chen, Jacqueline H.
  • Journal of Fluid Mechanics, Vol. 815
  • DOI: 10.1017/jfm.2017.53
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