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Flow Physics of a Bluff-Body Swirl Stabilized Flame and their Prediction by Means of a Joint Eulerian Stochastic Field and Tabulated Chemistry Approach

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Abstract

In the frame of this work a transported joint scalar probability density function (PDF) method is combined with the flamelet generated manifolds (FGM) tabulated chemistry approach for large eddy simulation (LES) modeling of a three-dimensional turbulent premixed swirl burner. This strategy accounts for the turbulence-chemistry interaction at reasonable computational costs. At the same time, it allows the usage of detailed chemistry mechanisms for the creation of the chemical database. The simulation results obtained are comparatively assessed along with complementary measurements. Furthermore, transient and time-averaged data are used to provide insight into the flow physics of the bluff-body swirl stabilized flame considered. The sensitivity of the results to different modeling approaches regarding the predicted flame shape and its dynamics is also investigated, where the implemented approach is compared with the well-established artificially thickened flame (ATF) combustion model. Consequently, the investigation conducted in this work aims to provide a complete picture on the ability of the proposed combustion model to reproduce the flow conditions within complex bluff-body swirl stabilized flames.

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Notes

  1. i.e. ratio between the thermal diffusion and the mass diffusion of species m

Abbreviations

C s :

Smagorinsky coefficient

C Ω :

Micro-mixing constant

d h :

Hydraulic diameter

D a :

Damköhler number

\(\text {dW}_{j}^{n}\) :

n th Wiener process in j direction

\(\mathcal {E}\) :

Efficiency function

\(\mathcal {F}\) :

Thickening factor

\(\mathcal {G}\) :

Spatial filtering operator

h :

Specific enthalpy of the mixture

K a :

Karlovitz number

L e :

Lewis number

m :

Mass

N :

Number of stochastic fields

N α :

Number of table controlling variables

P r :

Prandtl number

R e :

Reynolds number

R e Δ :

Sub-grid turbulent Reynolds number corresponding to the filter size Δ

S :

Swirl number

S i j :

Rate of strain

S c :

Schmidt number

s l :

Laminar flame speed

T :

Temperature

t :

Time

\(\mathcal {T}\) :

Effective straining function

u j :

Velocity in j direction

\(u_{\Delta }^{\prime }\) :

Velocity fluctuation at the test filter size Δ

x,y,z :

Spatial coordinate

Y m :

Mass fraction of species m

\(\mathcal {Z}\) :

Mixture fraction

δ :

Flame thickness

δ i j :

Kronecker-symbol

Δ:

Grid size

Δt :

Time step size

Δe :

Colin test filter size

\(\zeta \left (0,1 \right )\) :

Dichotomic vector

μ :

Dynamic viscosity

ν :

Kinematic viscosity

\(\xi _{\alpha }^{n}\) :

n th stochastic field of the scalar α

Ξ:

Flame wrinkling factor

ρ :

Density

τ i j :

Components of the viscous stress tensor

τ sgs :

Sub-grid mixing time scale

φ :

Arbitrary quantity

ϕ :

General species/scalar

χ :

Scalar dissipation rate

Ω:

Flame sensor

\(\dot {\omega }\) :

Chemical source term

⋅0 :

Property of an unmodified flame in the ATF context

⋅F :

Property of a thickened flame in the ATF context

⋅l :

Laminar

⋅m :

Species

⋅nr :

Normalized

\(\cdot _{\max }\) :

Maximum

⋅sgs :

Sub-grid scale

⋅t :

Turbulent

⋅α :

Table controlling variable

ᅟ:

ᅟ

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Acknowledgments

We gratefully acknowledge the financial support of the German Research Council (DFG) through the project SFB/TRR 129 and the support of the HPC Hessen (Hessisches Kompetenzzentrum fuer Hochleistungsrechnen).

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Authors and Affiliations

  1. Institute of Energy and Power Plant Technology, TU Darmstadt, Jovanka-Bontschits-Strasse 2, 64287, Darmstadt, Germany

    A. Avdić, G. Kuenne & J. Janicka

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  1. A. Avdić
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Correspondence to A. Avdić.

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Avdić, A., Kuenne, G. & Janicka, J. Flow Physics of a Bluff-Body Swirl Stabilized Flame and their Prediction by Means of a Joint Eulerian Stochastic Field and Tabulated Chemistry Approach. Flow Turbulence Combust 97, 1185–1210 (2016). https://doi.org/10.1007/s10494-016-9781-y

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