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Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

A Detailed Validation Study of Multi-Environment Eulerian Probability Density Function Transport Method for Modeling Turbulent Nonpremixed Combustion

[+] Author and Article Information
Rakesh Yadav

ANSYS Fluent India Pvt. Ltd.,
Pune 411057, India
e-mail: rakesh.yadav@ansys.com

Abhijit Kushari

Department of Aerospace Engineering,
I.I.T Kanpur 208016, India
e-mail: akushari@iitk.ac.in

Vinayak Eswaran

Department of Mechanical Engineering,
I.I.T Hyderabad 502025, India
e-mail: eswar@iith.ac.in

Atul K. Verma

ANSYS Fluent India Pvt. Ltd.,
Pune 411057, India
e-mail: atul.verma@ansys.com

1Corresponding author.

Contributed by the Combustion and Fuels Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received January 11, 2014; final manuscript received February 1, 2014; published online March 17, 2014. Editor: David Wisler.

J. Eng. Gas Turbines Power 136(8), 081506 (Mar 17, 2014) (11 pages) Paper No: GTP-14-1021; doi: 10.1115/1.4026861 History: Received January 11, 2014; Revised February 01, 2014

The current work involves the validation of presumed shape multi-environment Eulerian probability density function (PDF) transport method (MEPDF) using direct quadrature method of moments (DQMOM)-interaction by exchange with mean (IEM) approach for modeling turbulence chemistry interactions in nonpremixed combustion problems. The joint composition PDF is represented as a collection of finite number of Delta functions. The PDF shape is resolved by solving the governing transport equations for probability of occurrence of each environment and probability-weighted mass fraction of species and enthalpy in Eulerian frame for each environment. A generic implementation of the MEPDF approach is carried out for an arbitrary number of environments. In the current work, the MEPDF approach is used for a series of problems to validate each component of MEPDF approach in an isolated manner as well as their combined effect. First of all, a nonreactive turbulent mixing problem with two different Reynolds numbers (Re = 7000 and 11,900) is used for validation of the mixing and correction terms appear in the MEPDF approach. The second problem studied is a diffusion flame with infinitely fast chemistry having an analytical solution. The reaction component is validated by considering a 1D premixed laminar flame. In order to validate the combined effect of mixing and turbulence chemistry interactions, two different turbulent nonpremixed problems using global one-step chemistry are used. The first reactive problem used is H2 combustion (DLR Flame H3), while the second reactive validation case is a pilot-stabilized CH4 flame. The current predictions for all validation problems are compared with experimental data or published results. The study is further extended by modeling a turbulent nonpremixed H2 combustion using finite-rate chemistry effects and radiative heat transfer. The current model predictions for different flame lengths as well as minor species are compared with experimental data. The current model gave excellent predictions of minor species like OH. The differences in the current predictions with experimental data are discussed.

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Figures

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Fig. 1

Schematic of the computational domain having distinct fuel and air inlets

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Fig. 2

Radial profiles of mean and rms fluctuations of mixture fraction at axial locations of (a) x/D = 20, (b) x/D = 40, (c) x/D = 60 for bluff body case with Re = 7000 (left) and Re = 11,900 (right)

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Fig. 3

Profiles of mass fraction of fuel and oxidizer and the nondimensional temperature with mixture fraction for infinitely fast chemistry case (lines—present simulation, symbols—analytical results)

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Fig. 4

Comparison of velocity, temperature, density, and species mole fraction for 1D premixed methane flame (lines—current results, symbols—reference results [18])

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Fig. 5

Minor species profiles with different level of ISAT tolerances for 1D premixed reaction problem

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Fig. 6

Axial profiles of mean mixture fraction, H2 mass fraction, H2O mass fraction, and temperature at centerline for DLR Flame H3 [19]

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Fig. 7

Axial profiles of temperature at centerline for piloted methane-air flame

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Fig. 8

Schematic of turbulent H2 jet flame geometry

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Fig. 9

Axial profiles at centerline for H2 jet flame

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Fig. 10

Radial profiles at axial locations of x/Lvis = 1/4 and 1/2 for H2 flame

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Fig. 11

Initialization of the different flamelets for multiple unsteady radial profiles of mean and rms of mixture fraction for x/D (a) 20, (b) 40, and (c) 60 with different environments for the nonreactive mixing problem

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Fig. 12

Axial profiles of species mass fraction and temperature at centerline for DLR Flame H3 with different number of environments

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