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Research Papers: Combustion and Reactive Flows

A Hybrid Large Eddy Simulation/Filtered Mass Density Function for the Calculation of Strongly Radiating Turbulent Flames

[+] Author and Article Information
Abhilash J. Chandy, Steven H. Frankel

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-2088

David J. Glaze

 Sandia National Laboratories, P.O. Box 5800, Albuquerque, NM 87185

J. Heat Transfer 131(5), 051201 (Mar 16, 2009) (9 pages) doi:10.1115/1.3082405 History: Received April 29, 2007; Revised September 16, 2008; Published March 16, 2009

Due to the complex nonlinear coupling of turbulent flow, finite-rate combustion chemistry and thermal radiation from combustion products and soot, modeling, and/or simulation of practical combustors, or even laboratory flames undergoing strong soot formation, remain elusive. Methods based on the determination of the probability density function of the joint thermochemical scalar variables offer a promising approach for handling turbulence-chemistry-radiation interactions in flames. Over the past decade, the development and application of the filtered mass density function (FMDF) approach in the context of large eddy simulations (LES) of turbulent flames have gained considerable ground. The work described here represents the first application of the LES/FMDF approach to flames involving soot formation and luminous radiation. The initial focus here is on the use of a flamelet soot model in an idealized strongly radiating turbulent jet flame, which serves to detail the formulation, highlight the importance of turbulence-radiation interactions, and pave the way for the inclusion of a soot transport and finite-rate kinetics model allowing for quantitative comparisons to laboratory scale sooting flames in the near future.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

The soot-state relationship showing soot volume fraction in ppm as a function of mixture fraction, ξ

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Figure 2

Theoretical (a) speedup and (b) parallel efficiency for an LES using the FMDF closure model

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Figure 3

Assessment of consistency in the time-averaged filtered density profiles at centerline-axial (column 1) and three different radial locations (columns 2–4) from calculations of the DOM case. Lines: solid: ⟨ρ⟩L, dashed: ⟨ρ⟩L,w, and dash-dot: ⟨ρ⟩L,t.

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Figure 4

Instantaneous cross section through the jet centerline of the nondimensional temperature from LES/FMDF computations of the three cases—WORAD (left), OTM (middle), and DOM (right)

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Figure 5

Axial (column 1) and radial profiles (columns 2–4) of mean filtered nondimensional velocities, nondimensional temperatures, and mixture fraction along with its rms from LES/FMDF computations of the three cases—WORAD (solid lines), OTM (dashed lines), and DOM (dash-dot lines)

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Figure 6

Axial (column 1) and radial profiles (columns 2–4) of mean filtered radiative source term (Srad) and the soot volume fraction (fv) along with its rms from LES/FMDF computations of the OTM (dashed lines) and DOM (dash-dot lines) cases

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Figure 7

Instantaneous cross section through the jet centerline of the nondimensional temperature from LES/FMDF computations of the two cases—with TRI (left) and without TRI (right)

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Figure 8

Scatter plots of nondimensional temperature against mixture fraction at the axial locations x/D=5, 15, and 25 from LES/FMDF computations of the two cases—with TRI (left) and without TRI (right)

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Figure 9

Axial (column 1) and radial profiles (columns 2–4) of mean filtered radiative source term (Srad) and the soot volume fraction (fv) along with its rms from LES/FMDF computations of the two cases—with TRI (solid lines) and without TRI (dashed lines)

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