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Research Papers

Development of a RANS Premixed Turbulent Combustion Model Based on the Algebraic Flame Surface Density Concept

[+] Author and Article Information
Usman Allauddin

Fakultät für Luft-und Raumfahrttechnik,
Institut für Thermodynamik,
Universität der Bundeswehr München,
Neubiberg 85579, Germany;
Department of Mechanical Engineering,
NED University of Engineering and Technology,
Karachi 75270, Pakistan
e-mail: usman.allauddin@unibw.de

Michael Pfitzner

Fakultät für Luft-und Raumfahrttechnik,
Institut für Thermodynamik,
Universität der Bundeswehr München,
Neubiberg 85579, Germany

1Corresponding author.

Manuscript received April 27, 2018; final manuscript received August 11, 2018; published online October 10, 2018. Assoc. Editor: Riccardo Da Soghe.

J. Eng. Gas Turbines Power 141(2), 021025 (Oct 10, 2018) (8 pages) Paper No: GTP-18-1186; doi: 10.1115/1.4041308 History: Received April 27, 2018; Revised August 11, 2018

Recently, a fractal-based algebraic flame surface density (FSD) premixed combustion model has been derived and validated in the context of large eddy simulation (LES). The fractal parameters in the model, namely the cut-off scales and the fractal dimension were derived using theoretical models, experimental and direct numerical simulation (DNS) databases. The model showed good performance in predicting the premixed turbulent flame propagation for low to high Reynold numbers (Re) in ambient as well as elevated pressure conditions. Several LES combustion models have a direct counterpart in the Reynolds-averaged Navier–Stokes (RANS) context. In this work, a RANS version of the aforementioned LES subgrid scale FSD combustion model is developed. The performance of the RANS model is compared with that of the original LES model and validated with the experimental data. It is found that the RANS version of the model shows similarly good agreement with the experimental data.

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References

Cant, S. , 2011, “ RANS and LES Modelling of Premixed Turbulent Combustion,” Turbulent Combustion Modelling, Fluid Mechanics and Its Applications, T. Echekki , and E . Mastorakos , eds., Vol. 95, Springer, Dordrecht, The Netherlands, pp. 63–90.
Lipatnikov, A. , and Chomiak, J. , 2002, “ Turbulent Flame Speed and Thickness: Phenomenology, Evaluation, and Application in Multi-Dimensional Simulations,” Prog. Energy Combust. Sci., 28(1), pp. 1–74. [CrossRef]
Veynante, D. , and Vervisch, L. , 2002, “ Turbulent Combustion Modelling,” Prog. Energy Combust. Sci., 28(3), pp. 193–266. [CrossRef]
Bray, K. N. C. , Champion, M. , and Libby, P. , 2001, “ Premixed Flames in Stagnating Turbulence: Part V Evaluation of Models for the Chemical Source Term,” Combust. Flame, 127(1–2), pp. 2023–2040. [CrossRef]
Chakraborty, N. , and Klein, M. , 2008, “ A-Priori Direct Numerical Simulation Assessment of Algebraic Flame Surface Density Models for Turbulent Premixed Flames in the Context of Large Eddy Simulation,” Phys. Fluids, 20(8), pp. 85–108.
Ma, T. , Stein, O. T. , Chakraborty, N. , and Kempf, A. M. , 2013, “ A Posteriori Testing of Algebraic Flame Surface Density Models for LES,” Combust. Theory Modell., 17(3), pp. 431–482. [CrossRef]
Keppeler, K. , Tangermann, E. , Allauddin, U. , and Pfitzner, M. , 2014, “ LES of Low to High Turbulent Combustion in an Elevated Pressure Environment,” Flow, Turbul. Combust., 92(3), pp. 767–802. [CrossRef]
Allauddin, U. , Keppeler, R. , and Pfitzner, M. , 2014, “ Turbulent Premixed LES Combustion Models Based on Fractal Flame Surface Density Concept,” ASME Paper No. GT2014-25919.
Allauddin, U. , Klein, M. , Pfitzner, M. , and Chakraborty, N. , 2016, “ A Priori and a Posteriori Analysis of Algebraic Flame Surface Density Modelling in the Context of Large Eddy Simulation of Turbulent Premixed Combustion,” Numer. Heat Transfer Part A, 71(2), pp. 153–171. [CrossRef]
Allauddin, U. , 2017, “ Modelling of Turbulent Premixed Combustion Using LES and RANS Methods,” Ph.D. thesis, University of Bundeswehr, Munich, Germany.
Muppala, S. P. R. , Aluri, N. K. , Dinkelacker, F. , and Leipertz, A. , 2005, “ Development of an Algebraic Reaction Rate Closure for the Numerical Calculation of Turbulent Premixed Methane, Ethylene, and Propane/Air Flames for Pressures Up to 1.0 MPa,” Combust. Flame, 140(4), pp. 257–266. [CrossRef]
Aluri, N. , Muppala, S. P. R. , and Dinkelacker, F. , 2008, “ Large Eddy Simulation of Lean Premixed Turbulent Flames of Three Different Combustion Configurations Using a Novel Reaction Closure,” Flow Turbul. Combust., 80(2), pp. 207–224. [CrossRef]
Dinkelacker, F. , Manickam, B. , and Muppala, S. P. R. , 2011, “ Modelling and Simulation of Lean Premixed Turbulent Methane/Hydrogen/Air Flames With an Effective Lewis Number Approach,” Combust. Flame, 158(9), pp. 1742–1749. [CrossRef]
Chakraborty, N. , and Cant, R. S. , 2011, “ Effects of Lewis Number on Flame Surface Density Transport in Turbulent Premixed Combustion,” Combust. Flame, 158(9), pp. 1768–1787. [CrossRef]
Klein, M. , Chakraborty, N. , and Pfitzner, M. , 2016, “ Analysis of the Combined Modelling of Sub-Grid Transport and Filtered Flame Propagation for Premixed Turbulent Combustion,” Flow, Turbul. Combust., 96(4), pp. 921–938. [CrossRef]
Lindstedt, R. , and Váos, E. , 1999, “ Modelling of Premixed Turbulent Flames With Second Moment Methods,” Combust. Flame, 116(4), pp. 461–485. [CrossRef]
Gouldin, F. , 1987, “ An Application of Fractals to Modelling Premixed Turbulent Flames,” Combust. Flame, 68(3), pp. 249–266. [CrossRef]
Brandl, A. , Pfitzner, M. , Mooney, J. , Durst, B. , and Kern, W. , 2005, “ Comparison of Combustion Models and Assessment of Their Applicability to the Simulation of Premixed Turbulent Combustion in SI-Engines,” Flow, Turbul. Combust., 75(1–4), pp. 335–350. [CrossRef]
Tangermann, E. , Keppeler, R. , and Pfitzner, M. , 2010, “ Premixed Turbulent Combustion Model for Large Eddy and RANS Simulations,” ASME Paper No. GT2010-22298.
Aluri, N. K. , Pantangi, P. K. G. , Muppala, S. P. R. , and Dinkelacker, F. , 2005, “ Numerical Study Promoting Algebraic Models for the Lewis Number Effect in Atmospheric Turbulent Premixed Bunsen Flames,” Flow, Turbul. Combust., 75(1–4), pp. 149–172. [CrossRef]
Aluri, N. K. , Muppala, S. P. R. , and Dinkelacker, F. , 2006, “ Substantiating a Fractal-Based Algebraic Reaction Closure of Turbulent Premixed Combustion for High-Pressure and Lewis Number Effects,” Combust. Flame, 145 (4), pp. 663–674. [CrossRef]
Zimont, V. , and Lipatnikov, A. , 1995, “ A Numerical Model of Premixed Turbulent Combustion of Gases,” Chem. Phys. Rep., 14(7), pp. 993–1025. https://www.researchgate.net/publication/312978033_A_numerical_model_of_premixed_turbulent_combustion_of_gases
Poinsot, T. , and Veynante, D. , 2005, Theoretical and Numerical Combustion, 2nd ed., Edwards, Philadelphia PA.
Richard, S. , Colina, O. , Vermorel, O. , Benkenid, A. , Angelberger, C. , and Veynante, D. , 2007, “ Towards Large Eddy Simulation of Combustion in Spark Ignition Engines,” Proc. Combust. Inst., 31(2), pp. 3059–3066. [CrossRef]
Fiorina, B. , Vicquelin, R. , Auzillon, P. , Darabiha, N. , Gicquel, O. , and Veynante, D. , 2010, “ A Filtered Tabulated Chemistry Model for LES of Premixed Combustion,” Combust. Flame, 157(3), pp. 465–475. [CrossRef]
Driscoll, J. F. , 2008, “ Turbulent Premixed Combustion: Flamelet Structure and Its Effect on Turbulent Burning Velocities,” Prog. Energy Combust. Sci., 34(1), pp. 91–134. [CrossRef]
Kobayashi, H. , and Kawazoe, H. , 2000, “ Flame Instability Effects on the Smallest Wrinkling Scale and Burning Velocity of High-Pressure Turbulent Premixed Flames,” Proc. Combust. Inst., 28(1), pp. 375–382. [CrossRef]
Clavin, P. , 1985, “ Dynamic Behaviour of Premixed Flame Fronts in Laminar and Turbulent Flows,” Prog. Energy Combust. Sci., 11(1), pp. 1–59. [CrossRef]
Voigt, T. , 2013, “ Numerische Simulation aerodynamisch getriebener Flammenflächen,” Ph.D. thesis, Karlsruhe Institute of Technology, Karlsruhe, Germany.
Menter, F. R. , 1992, “ Performance of Popular Turbulence Models for Attached and Separated Adverse Pressure Gradient Flow,” AIAA J., 30(8), pp. 2066–2072. [CrossRef]
Menter, F. R. , 1992, “ Improved Two-Equation k − ω Turbulence Models for Aerodynamics Flows,” National Aeronautics and Space Administration Ames, Moffett Field, CA, Report No. TM-103975. https://ntrs.nasa.gov/search.jsp?R=19930013620
Kobayashi, H. , Nakashima, T. , Tamura, T. , Maruta, K. , and Niioka, T. , 1997, “ Turbulence Measurements and Observations of Turbulent Premixed Flames at Elevated Pressures Up to 3.0 MPa,” Combust. Flame, 108(1–2), pp. 104–117. [CrossRef]
Kobayashi, H. , Tamura, T. , Maruta, K. , Niioka, T. , and Williams, F. A. , 1996, “ Burning Velocity of Turbulent Premixed Flames in a High-Pressure Environment,” Proc. Combust. Inst., 26(1), pp. 389–396. [CrossRef]
Kobayashi, H. , Kawabata, Y. , and Maruta, K. , 1998, “ Experimental Study on General Correlation of Turbulent Burning Velocity at High Pressure,” Sym. (Int.) Combust, 27(1), pp. 941–948. [CrossRef]
Bray, K. N. C. , and Moss, J. B. , 1977, “ A Unified Statistical Model of the Premixed Turbulent Flame,” Acta Astronaut., 4(3–4), pp. 291–319. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

(a) Instantaneous Schlieren image of a typical lean premixed turbulent flame from Kobayashi et al. [33] and (b) method used in the experiment to determine turbulent flame speed

Grahic Jump Location
Fig. 2

Variation of st/sL0 with u′/sL0 for p=1and5bar using methods given by Eqs. (19) and (20) which are indicated by M1 and M2, respectively.

Grahic Jump Location
Fig. 3

Borghi–Peters diagram of the experimental data for methane and propane

Grahic Jump Location
Fig. 4

Comparison of mean progress variable contours c¯ with original: (a) RANS and (b) LES models. The inner lines denote c¯=0.5. The predicted st/sL0 values with the RANS and LES models are 2.77 and 2.90, respectively.

Grahic Jump Location
Fig. 5

Comparison of Reynolds-averaged progress variable contours with: (a) simplified and (b) original RANS models. The inner lines denote c¯=0.5. The predicted st/sL0 values with the simplified and original RANS models are 2.68 and 2.77, respectively.

Grahic Jump Location
Fig. 6

Comparison of turbulent flame speed at 5 bar using the simplified and original RANS models for methane fuel

Grahic Jump Location
Fig. 7

Comparison of Reynolds-averaged progress variable contours with: (a) coarse, (b) medium, and (c) fine grids using simplified RANS model. The inner lines denote c¯=0.5. The predicted st/sL0 values with the coarse, medium and fine grids are 2.68, 2.75, and 2.70, respectively.

Grahic Jump Location
Fig. 8

Comparison of normalized turbulent flame speed at 1, 5, and 10 bar using the LES and simplified RANS models for methane fuel

Grahic Jump Location
Fig. 9

Comparison of normalized turbulent flame speed at 1 and 5 bar using the simplified RANS model for propane fuel

Grahic Jump Location
Fig. 10

Comparison of turbulent flame speed at 1, 5, and 10 bar using the simplified RANS model for methane fuel

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