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Modeling of Turbulent Scalar Transport in Expanding Spherical Flames
Technical Paper
2005-01-2109
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
In the first part of the paper, a generalization of the turbulent diffusivity concept is considered and a generalized diffusion coefficient is introduced to account for the development of turbulent diffusivity, pressure-driven countergradient transport, and effects of chemical reactions on turbulent scalar flux. The behavior of the generalized diffusivity is numerically studied in the 1-D statistically planar case and the contributions of the aforementioned processes to the diffusivity are assessed.
In the second part of the paper, the generalized diffusivity is incorporated into the Flame Speed Closure (FSC) model of premixed turbulent combustion and the extended FSC model is applied to simulate recent experiments performed using the Leeds fan-stirred bomb. The extended FSC model well predicts the speed, thickness and structure of statistically spherical, premixed, turbulent flames that expand in the bomb after spark ignition. Under the conditions of the experiments, pressure-driven transport can markedly affect the flame speed, but the effects of turbulent flame development on the speed are more pronounced.
Authors
Citation
Lipatnikov, A. and Chomiak, J., "Modeling of Turbulent Scalar Transport in Expanding Spherical Flames," SAE Technical Paper 2005-01-2109, 2005, https://doi.org/10.4271/2005-01-2109.Also In
References
- Prudnikov, A.G. “Combustion of Homogeneous Fuel-Air Mixtures in Turbulent Flows,” Physical Basis of Processes in Combustion Chambers of Air-Breathing Engines Raushenbakh B.V. Mashinostroenie, Moscow 255 347 1964
- Zimont, V.L. “To Computations of Turbulent Combustion of Partially Premixed Gases,” Chemical Physics of Combustion and Explosion Processes. Combustion of Multi-Phase and Gas Systems OIKhF Chernogolovka 77 80 1977
- Zimont, V.L. “Theory of Turbulent Combustion of a Homogeneous Fuel Mixture at High Reynolds Number,” Combustion, Explosions, and Shock Waves 15 305 311 1979
- Zimont, V.L. Lipatnikov, A.N. “To Computations of the Heat Release Rate in Turbulent Flames,” Doklady Physical Chemistry 332 592 594 1993
- Zimont, V.L. Lipatnikov, A.N. “A Numerical Model of Premixed Turbulent Combustion,” Chemical Physics Reports 14 993 1025 1995
- Karpov, V.P. Lipatnikov, A.N. Zimont, V.L. “A Test of an Engineering Model of Premixed Turbulent Combustion,” 26th Symposium (International) on Combustion The Combustion Institute Pittsburgh 249 257 1996
- Maciocco, L. Zimont, V.L. “Test of the TFC Combustion Model on High Velocity Premixed CH 4 -Air Combustion in a Channel,” 20-th Annual Meeting of the Italian Section of the Combustion Institute “Frantic97” Cagliari 2-5 July 1997 X-2.1 2.4 1997
- Birkestad, P. “Modeling of Premixed Turbulent Combustion for Afterburners and Low Emission Combustors,” Department of Thermo and Fluid Dynamics, Chalmers University of Technology Gothenburg, Sweden 1998
- Dinkelacker, F. Hölzler, S. “Investigation of a Turbulent Flame Speed Closure Approach for Premixed Flame Calculations,” Combustion Science and Technology 158 321 340 2000
- Zimont, V.L. Biagioli, F. “Gradient, Counter-Gradient Transport and Their Transition in Turbulent Premixed Flames,” Combustion Theory and Modelling 6 79 101 2002
- Dinkelacker, F. “Numerical Calculation of Turbulent Premixed Flames with an Efficient Turbulent Flame Speed Closure Model,” High-Performance Scientific and Engineering Computing, Series: Lecture Notes in Computational Science and Engineering 21 Breuer M. Durst F. Zenger C. Springer Berlin 81 88 2002
- Biagioli, F. Zimont, V.L. “Gasdynamics Modelling of Counter-Gradient Transport in Open and Impinging Turbulent Premixed Flames,” Proceedings of the Combustion Institute 29 2087 2095 2002
- Muppala, S.R.P. Dinkelacker, F. “Numerical Modelling of the Pressure Dependent Reaction Source Term for Turbulent Premixed Methane-Air Flames,” Progress in Computational Fluid Dynamics 4 1 9 2004
- Biagioli, F. “Position, Thickness and Transport Properties of Turbulent Premixed Flames in Stagnating Flows,” Combustion Theory and Modelling 8 533 554 2004
- Zimont, V.L. Polifke, W. Bettelini, M. Weisenstein, W. “An Efficient Computational Model for Premixed Turbulent Combustion at High Reynolds Number Based on a Turbulent Flame Speed Closure,” Journal of Engineering for Gas Turbines and Power 120 526 532 1998
- Polifke W. Flohr, P. Brandt M. “Modeling of Inhomogeneously Premixed Combustion with an Extended TFC Model,” ASME Journal of Engineering for Gas Turbines and Power 124 58 65 2002
- Weller, H.G. “The Development of a New Flame Area Combustion Model Using Conditional Averaging,” Mechanical Engineering Department, Imperial College 1993
- Weller, H.G. Uslu, S. Gosman, A.D. Maly, R.R. Herweg, R. Heel, B. “Prediction of Combustion in Homogeneous-Charge Spark-Ignition Engines,” International Symposium COMODIA 94 The Japan Society of Mechanical Engineering Yokohama 163 169 1994
- Heel, B. Maly, R. Weller, H.G. Gosman, A.D. “Validation of SI Combustion Model over Range of Speed, Load, Equivalence Ratio and Spark Timing,” International Symposium COMODIA 98 The Japan Society of Mechanical Engineering Kyoto 255 260 1998
- Kawanabe, H. Shioji, M. Tsunooka, T. Ali, Y. “CFD Simulation for Predicting Combustion and Pollutant Formation in a Homogeneous-Charge Spark-Ignition Engine,” International Symposium COMODIA 98 The Japan Society of Mechanical Engineering Kyoto 233 238 1998
- Kech, J.M. Reissing, J. Gindele, J. Spicher, U. “Analyses of the Combustion Process in a Direct Injection Gasoline Engine,” International Symposium COMODIA 98 The Japan Society of Mechanical Engineering Kyoto 287 292 1998
- Nishiwaki, K. “Modeling Engine Heat Transfer and Flame-Wall Interaction,” International Symposium COMODIA 98 The Japan Society of Mechanical Engineering Kyoto 35 44 1998
- Lipatnikov, A.N. Chomiak, J. “A Simple Model of Unsteady Turbulent Flame Propagation,” SAE Paper No. 972993 1997
- Lipatnikov, A.N. Wallesten, J. Nisbet, J. “Testing of a Model for Multi-Dimensional Computations of Turbulent Combustion in Spark Ignition Engines,” International Symposium COMODIA 98 The Japan Society of Mechanical Engineering Kyoto 239 244 1998
- Lipatnikov, A.N. Chomiak, J. “Transient and Geometrical Effects in Expanding Turbulent Flames,” Combustion Science and Technology 154 75 117 2000
- Lipatnikov, A.N. Chomiak, J. “Turbulent Flame Speed and Thickness: Phenomenology, Evaluation, and Application in Multi-Dimensional Simulations,” Progress in Energy and Combustion Science 28 1 73 2002
- Lipatnikov, A.N. Chomiak, J. “A Numerical Study of Weakly Turbulent Premixed Combustion with Flame Speed Closure Model,” SAE Paper 2003-01-1839 2003
- Lipatnikov, A.N. Chomiak, J. “Flame Speed Closure Model of Premixed and Partially Premixed Turbulent Combustion: Further Development and Validation,” International Symposium COMODIA 2004 The Japan Society of Mechanical Engineering Yokohama 583 590 2004
- Wallesten, J. Lipatnikov, A.N. Nisbet J. “Turbulent Flame Speed Closure Model: Further Development and Implementation for 3-D Simulation of Combustion in SI Engine,” SAE Paper No. 982613 1998
- Wallesten J. Lipatnikov, A.N. Chomiak, J. “Simulations of Fuel/Air Mixing, Combustion, and Pollutant Formation in a Direct Injection Gasoline Engine,” SAE Paper 2002-01-0835 2002
- Wallesten, J. Lipatnikov, A.N. Chomiak J. “Modeling of Stratified Combustion in a DI SI Engine Using Detailed Chemistry Pre-Processing,” Proceedings of the Combustion Institute 29 703 709 2002
- Peters, N. “Turbulent Combustion,” Cambridge University Press Cambridge, UK 2000 161 162
- Kalt, P.A.M. Chen, Y.-C Bilger, R. W. “Experimental Investigation of Turbulent Scalar Flux in Premixed Stagnation-Type Flames,” Combustion and Flame 129 401 415 2002
- Bray, K.N.C. “Turbulent Transport in Flames,” Proceedings of the Royal Society of London A 451 231 256 1995
- Veynante, D. Vervish, L. “Turbulent Combustion Modeling,” Progress in Energy and Combustion Science 28 193 266 2002
- Lipatnikov, A.N. Chomiak, J. “A Study of the Effects of Pressure-Driven Transport on Developing Turbulent Flame Structure and Propagation,” Combustion Theory and Modelling 8 211 225 2004
- Lipatnikov, A.N. Chomiak, J. “A Theoretical Study of Premixed Turbulent Flame Development,” Proceedings of the Combustion Institute 30 843 850 2004
- Bray, K.N.C. “Studies of the Turbulent Burning Velocity,” Proceedings of the Royal Society of London A 431 315 335 1990
- Bray, K.N.C. Libby, P.A. “Recent Developments in the BML Model of Premixed Turbulent Combustion,” Turbulent Reacting Flows Libby P.A. Williams F.A. Academic Press London 115 151 1994
- Bray, K.N.C. Champion, M. Libby, P.A. “Premixed Flames in Stagnating Turbulence Part IV: A New Theory For the Reynolds Stresses and Reynolds Fluxes Applied to Impinging Flows,” Combustion and Flame 120 1 18 2000
- Bailly, P. Champion, M. Garreton, D. “Counter-Gradient Diffusion in a Confined Turbulent Premixed Flame,” Physics of Fluids 9 766 775 1997
- Schmidt, H.P. Habisreuther, P. Leuckel, W. “A Model for Calculating Heat Release in Premixed Turbulent Flames,” Combustion and Flame 113 79 91 1998
- Lindstedt, R.P. Váos, E.M. “Second Moment Modeling of Premixed Turbulent Flames Stabilizing in Impinging Jet Geometries,” Combustion and Flame 116 461 485 1999
- Taylor, G.I. “Statistical Theory of Turbulence. IV. Diffusion in a Turbulent Air Stream,” Proceedings of the Royal Society of London A 151 465 478 1935
- Brodkey, R.S. “The Phenomena of Fluid Motions,” Addison-Wesley Publishing Company London 1967
- Lipatnikov, A.N. Chomiak, J. “Dependence of Heat Release on the Progress Variable in Premixed Turbulent Combustion,” Proceedings of the Combustion Institute 28 227 234 2000
- Lipatnikov, A.N. Chomiak, J. “Developing Premixed Turbulent Flames: Part I. A Self-Similar Regime of Flame Propagation,” Combustion Science and Technology 162 85 112 2001
- Lipatnikov, A.N. Chomiak, J. “Comment on “Turbulent burning velocity, burned gas distribution, and associated flame surface definition” Bradley D. Haq M.Z. Hicks R.A. Kitagawa T. Lawes M. Sheppard C.G.W. Woolley R. Combust. Flame 133 2003 415 Combustion and Flame 137 261 263 2004
- Lipatnikov, A.N. Chomiak, J. “Turbulent Burning Velocity and Speed of Developing, Curved, and Strained Flames,” Proceedings of the Combustion Institute 29 2113 2121 2002
- Gouldin, F.C. Miles, P.C. “Chemical Closure and Burning Rates in Premixed Turbulent Flames,” Combustion and Flame 100 202 210 1995
- Wu, M.S. Kwon, A. Driscoll, G. Faeth, G.M. “Turbulent Premixed Hydrogen/Air Flames at High Reynolds Numbers,” Combustion Science and Technology 73 327 350 1990
- Namazian, M. Shepherd, I.G. Talbot, L. “Characterization of the Density Fluctuations in Turbulent V-Shaped Premixed Flames,” Combustion and Flame 64 299 308 1986
- Renou, B. Mura, A. Samson, E. Boukhalfa, A. “Characterization of the Local Flame Structure and Flame Surface Density for Freely-Propagating Premixed Flames at Various Lewis Numbers,” Combustion Science and Technology 174 81 117 2002
- Boukhalfa, A. Gökalp, I. “Influence of the Damköhler Number on the Average Thickness of Conical Turbulent Premixed Methane-Air Flames,” Combustion and Flame 73 75 87 1988
- Sjunnesson, A. Henrikson, P. Löfström, C. “CARS Measurements and Visualization of Reacting Flows in a Bluff Body Stabilized Flame,” AIAA Paper 92/3650 1992
- Moreau, P. “Turbulent Flame Development in a High Velocity Premixed Flow,” AIAA Paper 77/49 1977
- Goix, P. Paranthoen, P. Trinite, M. “A Tomographic Study of Measurements in a V-Shaped H 2 -Air Flame and a Lagrangian Interpretation of the Turbulent Flame Brush Thickness,” Combustion and Flame 81 229 241 1990
- Atashkari, K. Lawes, M. Sheppard, C.G.W. Woolley, R. “Towards a General Correlation of Turbulent Premixed Flame Wrinkling,” Engineering Turbulence Modelling and Measurements 4 Rodi W. Laurence D. Elsevier Amsterdam 805 814 1999
- Launder, B.E. Spalding, D.B. “Mathematical Models of Turbulence,” Academic Press London 1972
- Bradley, D. Hicks, R.A. Lawes, M. Sheppard, C.G.W. Woolley, R. “The Measurement of Laminar Burning Velocities and Markstein Numbers for Iso-Octane-Air and Iso-Octane-n-Heptane-Air Mixtures at Elevated Temperatures and Pressures in an Explosion Bomb,” Combustion and Flame 115 126 144 1998
- Bradley, D. Haq, M.Z. Hicks, R.A. Kitagawa, T. Lawes, M. Sheppard. C.G.W. Woolley, R. “Turbulent Burning Velocity, Burned Gas Distribution, and Associated Flame Surface Definition,” Combustion and Flame 133 415 430 2003
- Lipatnikov, A.N. Chomiak, J. “Application of the Markstein Number Concept to Curved Turbulent Flames,” Combustion Science and Technology 176 331 358 2004
- Clavin, P. “Dynamical Behavior of Premixed Flame Fronts in Laminar and Turbulent Flows,” Progress in Energy and Combustion Science 11 1 59 1985
- Herweg, R. Maly, R.R. “A Fundamental Model for Flame Kernel Formation in S.I. Engines,” SAE Paper 922243 1992