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Combustion Science and Technology Volume 72, 1990 - Issue 4-6
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Original Articles

The Fractal Nature of Premixed Turbulent Flames

G.L. NORTH Turbulent Combustion Laboratory. Mechanical Engineering Department, The Pennsylvania State University
&
D.A. SANTAVICCA Turbulent Combustion Laboratory. Mechanical Engineering Department, The Pennsylvania State University
Pages 215-232 | Received 06 Nov 1989, Published online: 06 Apr 2007

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Eray Inanc, Andreas M. Kempf & Nilanjan Chakraborty. (2021) Effect of sub-grid wrinkling factor modelling on the large eddy simulation of turbulent stratified combustion. Combustion Theory and Modelling 25:5, pages 911-939.
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Ali Salavati-Zadeh, Ahmad Javaheri, Seyed Vahid Ghavami, Vahid Esfahanian, Masoud Masih Tehrani & Hossein Akbari. (2016) A detailed kinetic investigation on the effects of hydrogen enrichment on the performance of gas-fueled SI engine. International Journal of Green Energy 13:10, pages 1042-1049.
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Fabien Thiesset, Guillaume Maurice, Fabien Halter, Nicolas Mazellier, Christian Chauveau & Iskender Gökalp. (2016) Modelling of the subgrid scale wrinkling factor for large eddy simulation of turbulent premixed combustion. Combustion Theory and Modelling 20:3, pages 393-409.
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T. Ma, O.T. Stein, N. Chakraborty & A.M. Kempf. (2014) A posteriori testing of the flame surface density transport equation for LES. Combustion Theory and Modelling 18:1, pages 32-64.
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T. Ma, O.T. Stein, N. Chakraborty & A.M. Kempf. (2013) A posteriori testing of algebraic flame surface density models for LES. Combustion Theory and Modelling 17:3, pages 431-482.
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S.R. Gubba, S.S. Ibrahim, W. Malalasekera & A.R. Masri. (2009) An assessment of large eddy simulations of premixed flames propagating past repeated obstacles. Combustion Theory and Modelling 13:3, pages 513-540.
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Eugenio Giacomazzi, Claudio Bruno & Bernardo Favini. (2000) Fractal modelling of turbulent combustion. Combustion Theory and Modelling 4:4, pages 391-412.
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Mark Ulitsky, Chaouki Ghenaï, Iskender Gökalp, Lian-Ping Wang & Lance R Collins. (2000) Comparison of a spectral model for premixed turbulent flame propagation to DNS and experiments. Combustion Theory and Modelling 4:3, pages 241-264.
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Eugenio Giacomazzi, Claudio Bruno & Bernardo Favini. (1999) Fractal modelling of turbulent mixing. Combustion Theory and Modelling 3:4, pages 637-655.
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GUY JOUUN. (1999) Short Communication On the Fractal Dimension of Highly-Turbulent Thin Premixed Flames. Combustion Science and Technology 141:1-6, pages 107-110.
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JENSC. NIEMEYER & ALANR. KERSTEIN. (1997) Numerical Investigation of Scaling Properties of Turbulent Premixed Flames. Combustion Science and Technology 128:1-6, pages 343-358.
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B. Denet. (1997) A Lagrangian Method to Simulate Turbulent Flames with Reconnections. Combustion Science and Technology 123:1-6, pages 247-260.
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S. S. SHY, R. H. JANG & P. D. RONNEY. (1996) Laboratory Simulation of Flamelet and Distributed Models for Premixed Turbulent Combustion Using Aqueous Autocatalytic Reactions. Combustion Science and Technology 113:1, pages 329-350.
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V. ERARD, A. BOUKHALFA, D. PUECHBERTY & M. TRINITÉ CORIA-URA. (1996) A Statistical Study on Surface Properties of Freely-Propagating Premixed Turbulent Flames. Combustion Science and Technology 113:1, pages 313-327.
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A. YOSHIDA, M. KASAHARA, H. TSUJI & T. YANAGISAWA. (1994) Fractal Geometry Application in Estimation of Turbulent Burning Velocity of Wrinkled Laminar Flame. Combustion Science and Technology 103:1-6, pages 207-218.
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AZIZ ÜNGÜT ARNAUD GORGEON & SKENDER GÖKALP. (1993) A Planar Laser Induced Fluorescence Study of Turbulent Flame Kernel Growth and Fractal Characteristics. Combustion Science and Technology 92:4-6, pages 265-290.
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P J. GOIX & I. G. SHEPHERD. (1993) Lewis Number Effects on Turbulent Premixed Flame Structure. Combustion Science and Technology 91:4-6, pages 191-206.
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JOHN MANTZARAS. (1992) Geometrical Properties of Turbulent Premixed Flames: Comparison Between Computed and Measured Quantities. Combustion Science and Technology 86:1-6, pages 135-162.
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T.-W. LEE, G. L. NORTH & D. A. SANTAVICCA. (1992) Curvature and Orientation Statistics of Turbulent Premixed Flame Fronts. Combustion Science and Technology 84:1-6, pages 121-132.
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M. S. WU, S. KWON, J. F. DRISCOLL & G. M. FAETH. (1991) Preferential Diffusion Effects on the Surface Structure of Turbulent Premixed Hydrogen/Air Flames. Combustion Science and Technology 78:1-3, pages 69-96.
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Dan Brasoveanu & Ashwani K. Gupta. (2000) Maximum Mixing Times of Methane and Air. Journal of Propulsion and Power 16:6, pages 956-963.
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B. Chehroudi, D. Talley & E. Coy. (1999) Fractal geometry and growth rate changes of cryogenic jets near the critical point. Fractal geometry and growth rate changes of cryogenic jets near the critical point.
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R. J. Jenkin, E. H. James & W. M. Malalasekera. (2016) Modelling the effects of combustion and turbulence on near-wall temperature gradients in the cylinders of spark ignition engines. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 212:6, pages 533-546.
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Mark Ulitsky & Lance R. Collins. (1997) Relative importance of coherent structures vs background turbulence in the propagation of a premixed flame. Combustion and Flame 111:4, pages 257-275.
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J. C. Niemeyer & S. E. Woosley. (1997) The Thermonuclear Explosion of Chandrasekhar Mass White Dwarfs. The Astrophysical Journal 475:2, pages 740-753.
Crossref
W. Hillebrandt & J. C. Niemeyer. 1997. Thermonuclear Supernovae. Thermonuclear Supernovae 337 348 .
W. P. Jones & M. Kakhi. 1996. Unsteady Combustion. Unsteady Combustion 411 491 .
Ting-Ting Zhu, Peter J. O'Rourke & Ronald D. Matthews. A Multidimensional Numerical Model for Turbulent Premixed Flames with Fractal Geometries. A Multidimensional Numerical Model for Turbulent Premixed Flames with Fractal Geometries.
C. De Petris, S. Diana, V. Giglio, S. Golini & G. Police. Numerical Simulation of Combustion in Premixed SI Engines Using Fractal Flame Models. Numerical Simulation of Combustion in Premixed SI Engines Using Fractal Flame Models.
O Gülder. (1995) Inner cutoff scale of flame surface wrinkling in turbulent premixed flames. Combustion and Flame 103:1-2, pages 107-114.
Crossref
Fabio Bozza, Raffaele Tuccillo & Domenico de Falco. A Two-Stroke Engine Model Based on Advanced Simulation of Fundamental Processes. A Two-Stroke Engine Model Based on Advanced Simulation of Fundamental Processes.
S. E. WOOSLEY, D. GARCIA‐SENZ, J. NIEMEYER, W. HILLEBRANDT, S. BLINNIKOV & P. SASOROV. (2006) Chandrasekhar Mass Models for Type Ia Supernovae. Annals of the New York Academy of Sciences 759:1, pages 352-355.
Crossref
J. C. Vassilicos & J. C. H. Fung. (1995) The self-similar topology of passive interfaces advected by two-dimensional turbulent-like flows. Physics of Fluids 7:8, pages 1970-1998.
Crossref
B. D. Haslam & P. D. Ronney. (1995) Fractal properties of propagating fronts in a strongly stirred fluid. Physics of Fluids 7:8, pages 1931-1937.
Crossref
J.G. Lee, T.-W. Lee, D.A. Nye & D.A. Santavicca. (1995) Lewis number effects on premixed flames interacting with turbulent Kármán vortex streets. Combustion and Flame 100:1-2, pages 161-168.
Crossref
P.G. Hill & D. Zhang. (1994) The effects of swirl and tumble on combustion in spark-ignition engines. Progress in Energy and Combustion Science 20:5, pages 373-429.
Crossref
Paul Meakin. (1993) The growth of rough surfaces and interfaces. Physics Reports 235:4-5, pages 189-289.
Crossref
Paul Meakin, Torstein Jøssang & Jens Feder. (1993) A two dimensional reaction-limited selective dissolution model. Physica A: Statistical Mechanics and its Applications 196:4, pages 481-504.
Crossref
T.-W. Lee, G.L. North & D.A. Santavicca. (1993) Surface properties of turbulent premixed propane/air flames at various Lewis numbers. Combustion and Flame 93:4, pages 445-456.
Crossref
M. J. Hall, Wengang Dai & Ronald D. Matthews. Fractal Analysis of Turbulent Premixed Flame Images from SI Engines. Fractal Analysis of Turbulent Premixed Flame Images from SI Engines.
S. Kwon, M.-S. Wu, J.F. Driscoll & G.M. Faeth. (1992) Flame surface properties of premixed flames in isotropic turbulence: Measurements and numerical simulations. Combustion and Flame 88:2, pages 221-238.
Crossref
C.K. Chan, K.S. Lau, W.K. Chin & R.K. Cheng. (1992) Freely propagating open premixed turbulent flames stabilized by swirl. Symposium (International) on Combustion 24:1, pages 511-518.
Crossref
S. Kwon & G.M. Faeth. (1992) Stochastic simulation of free turbulent premixed flames in isotropic turbulence. Symposium (International) on Combustion 24:1, pages 451-460.
Crossref
Suresh Menon & Alan R. Kerstein. (1992) Stochastic simulation of the structure and propagation rate of turbulent premixed flames. Symposium (International) on Combustion 24:1, pages 443-450.
Crossref
H.G. Weller, C.J. Marooney & A.D. Gosman. (1991) A new spectral method for calculation of the time-varying area of a laminar flame in homogeneous turbulence. Symposium (International) on Combustion 23:1, pages 629-636.
Crossref

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