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Original Articles

A Lagrangian Model of Combustion in High-Speed Flows: Application to Scramjet Conditions

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Pages 1372-1396 | Received 01 Oct 2008, Accepted 17 Jun 2009, Published online: 11 Nov 2009

REFERENCES

  • Baurle , R.A. , Alexopoulos , G.A. , and Hassan , H.A. 1994 . Modeling of supersonic turbulent combustion using assumed probability density functions . J. Propulsion Power , 10 , 777 .
  • Baurle , R.A. , and Girimaji , S.S. 2003 . Assumed turbulence-chemistry closure with temperature-composition correlation . Combust. Flame , 134 , 131 .
  • Baurle , R.A. , Hsu , A.T. , and Hassan , H.A. 1995 . Assumed and evolution probability density functions in supersonic turbulent combustion calculations . J. Propulsion Power , 11 , 1132 .
  • Berglund , M. , and Fureby , C. 2007 . LES of supersonic combustion in a scramjet engine model . Proc. Combust. Inst. , 31 , 2497 .
  • Billig , F.S. 1993 . Research on supersonic combustion . J. Propulsion Power , 9 , 499 .
  • Bonniot , C. , and Borghi , R. 1979 . Joint probability density function in turbulent combustion . Acta Astronautica , 6 , 309 .
  • Bonniot , C. , Borghi , R. , and Magre , P. 1977 . Turbulent combustion in a stirred reactor . AIAA Paper , 77 - 218 .
  • Borghi , R. , and Gonzalez , M. 1986 . Applications of Lagrangian models to turbulent combustion . Combust. Flame , 63 , 239 .
  • Borghi , R. , and Pourbaix , E. 1981 . On the coupling of complex chemistry with a turbulent combustion model . Phys. Chemical Hydrodyn. , 2 , 65 .
  • Bray , K.N.C. , Libby , P.A. , and Williams , F.A. 1994 . High speed turbulent combustion . In Libby , P.A. and Williams , F.A. (Eds.) Turbulent Reacting Flows , Academic Press , London , pp. 609 – 638 .
  • Buckmaster , J. , Jackson , T.L. , and Kumar , A. , Eds. 1994 . Combustion in high speed flows . ICASE/LaRC interdisciplinary series in Science and Engineering . Kluwer Academic Publishers , Dordrecht , The Netherlands .
  • Chen , J.Y. 1997 . Stochastic modeling of partially stirred reactors . Combust. Sci. Technol. , 122 , 63 .
  • Cheng , T.S. , Wehrmeyer , J.A. , Pitz , R.W. , Jarret , O. , and Northam , G.B. 1991 . Finite-rate chemistry effects in a Mach 2 reacting flow. AIAA Paper 91-2320 .
  • Cheng , T.S. , Wehrmeyer , J.A. , Pitz , R.W. , Jarret , O. , and Northam , G.B. 1994 . Raman measurement of mixing and finite-rate chemistry in a supersonic hydrogen-air diffusion flame . Combust. Flame , 99 , 157 .
  • Curran , E.T. , Heiser , W.H. , and Pratt , D.T. 1996 . Fluid phenomena in Scramjet combustion systems . Ann. Rev. Fluid. Mech. , 28 , 323 .
  • Demoulin , F.X. , and Borghi , R. 2002 . PDF modeling of turbulent spray combustion with application to Diesel like experiment . Combust. Flame , 129 , 281 .
  • Dopazo , C. 1994 . Recent developments in PDF methods . In Libby , P.A. and Williams , F.A. (Eds.) Turbulent Reacting Flows , Academic Press , London , pp. 375 – 474 .
  • Eifler , P. , and Kollmann , W. 1993 . PDF prediction of supersonic hydrogen flames. AIAA Paper 93-0448.
  • Fallot , L. , Gonzalez , M. , Elamraoui , R. , and Obounou , M. 1997 . Modeling finite-rate chemistry effects in non-premixed turbulent combustion: Test on the bluff-body stabilized flame . Combust. Flame , 110 , 298 .
  • Ferri , A. 1973 . Mixing controlled supersonic combustion . Ann. Rev. Fluid. Mech. , 5 , 301 .
  • Figueira da Silva , L.F. , Deshaies , B. , and Champion , M. 1992 . A numerical study of hydrogen-air combustion within a supersonic boundary layer. AIAA-Paper-92-0338 .
  • Figueira da Silva , L.F. , Deshaies , B. , and Champion , M. 1993. Numerical study of ignition within hydrogen-air supersonic boundary layer. AIAA Journal , 31, 884.
  • Figueira da Silva , L.F. , Deshaies , B. , Champion , M. , and René-Corail , M. 1993 . Some specific aspects of combustion in supersonic H2-air laminar mixing layers . Combust. Sci. Technol. , 89 , 317 .
  • Fujimori , T. , Murayama , M. , Sato , J. , Kobayashi , H. , and Niioka , T. 1997 . Flame Holding behind a wedge by incident shock waves . In Champion , M. and Deshaies , B. (Eds.) Iutam Symposium on Combustion in Supersonic Flows , Kluwer Academic Publishers , Dordrecht , The Netherlands , pp. 95 – 110 .
  • Harten , A. 1983 . High resolution schemes for hyperbolic conservation laws . J. Comput. Phys. , 49 , 357 .
  • Heiser , W.H. , and Pratt , D.T. 1994 . In Przemieniecki , J.S. (Ed.) Hypersonic Airbreathing Propulsion , AIAA Education Series , AIAA Inc. , Washington , D.C.
  • Hussaini , M.Y. , Sarkar , S. , Erlebacher , G. , and Kreiss , H.O. 1991 . The analysis and modeling of dilatational terms in compressible turbulence . J. Fluid Mech. , 227 , 473 .
  • Im , H.G. , Bechtold , J.K. , and Law , C.K. 1993 . Analysis of thermal ignition in supersonic flat plate boundary layers . J. Fluid Mech. , 249 , 99 .
  • Jachimowski , C.J. 1988 . An analytical study of the hydrogen-air reaction mechanism with application to scramjet combustion. NASA Technical Paper number 2791.
  • Jackson , T.L. , and Hussaini , M.Y. 1988 . An asymptotic analysis of supersonic reacting mixing layers . Combust. Sci. Technol. , 57 , 129 .
  • Jones , W.P. , and Musonge , P. 1988 . Closure of the Reynolds stress and scalar flux equations . Phys. Fluids , 31 , 3589 .
  • Kee , R.J. , Rupley , F.M. , and Miller , J.A. 1989 . Chemkin-II. A FORTRAN chemical kinetics package for the analysis of gas-phase chemical kinetics, SANDIA report SAN89-8009 UC-401.
  • Launder , B.E. 1976 . Heat and Mass Transport . In Bradshaw , P. (Ed.) Turbulence, Topics in Applied Physics , Berlin , Heiderlberg : Springer Verlag , pp. 231 – 287 .
  • Lehnasch , G. , and Bruel , P. 2007 . A robust methodology for RANS simulations of highly under-expanded jets . Int. J. Num. Meth. Fluids , 56 , 2179 .
  • Luo , K.H. 1999 . Combustion effects on turbulence in a partially premixed supersonic diffusion flame . Combust. Flame , 119 , 417 .
  • Luo , K.H. , and Bray , K.N.C. 1998 . Combustion-induced pressure effects in supersonic diffusion flames . Proc. Comb. Inst. , 27 , 2165 .
  • Marathe , A.G. , Mukunda , H.S. , and Jain , V.K. 1977 . Some studies on hydrogen oxygen diffusion flame . Combust. Sci. Technol. , 15 , 49 .
  • Martin , R. 2001 . Projet N3SNatur, Version 1.4, Manuel Théorique, Simulog France.
  • Möbus , H. , Gerlinger , P. , and Brüggemann , D. 2003 . Scalar and joint scalar-velocity-frequency Monte Carlo PDF simulation of supersonic combustion . Combust. Flame , 132 , 3 – 24 .
  • Morgenthaler , V. 1999 . Modélisation et étude numérique de la combustion dans l'écoulement supersonique et turbulent résultant du mélange de deux jets concentriques composés respectivement d'hydrogène et d'air. PhD Thesis, University of Poitiers, France .
  • Morgenthaler , V. , Figueira da Silva , L.F. , Deshaies , B. , and Sabel'nikov , V.A. 1999 . Non premixed combustion in supersonic turbulent flows: A Numerical study for co-flowing H2-air jets. AIAA Paper 99-4917.
  • Mura , A. , and Borghi , R. 2003 . Towards an extended scalar dissipation equation for turbulent premixed combustion . Combust. Flame , 133 , 193 .
  • Mura , A. , and Borghi , R. 2004 . Introducing a new partial PDF approach for turbulent combustion modeling . Combust. Flame , 136 , 377 .
  • Mura , A. , and Demoulin , F.X. 2007 . Lagrangian intermittent modeling of turbulent lifted flames . Combust. Theory modeling , 11 , 227 .
  • Mura , A. , Robin , V. , and Champion , M. 2007. Modeling of scalar dissipation in partially premixed turbulent flames. Combust. Flame , 149, 217.
  • Obounou , M. , Gonzalez , M. , and Borghi , R. 1994 . A Lagrangian model for predicting turbulent diffusion flames with chemical kinetic effects . Proc. Combust. Inst. , 25 , 1107 .
  • Oervermann , M. 2000 . Numerical investigation of turbulent hydrogen combustion in a SCRAMJET using flamelet modeling . Aerosp. Sci. Technol. , 4 , 463 .
  • Press , W.H. , Flannery , B.P. , Teukolsky , S.A. , and Vetterling , W.T. 1999 . Numerical Recipes in FORTRAN 90, The Art of Parallel Scientific Computing . Cambridge , Mass .: Cambridge University Press .
  • Ren , Z. , and Pope , S.B. 2004 . An investigation of the performance of turbulence mixing models . Combust. Flame , 136 , 208 .
  • Roe , P.L. 1981 . Approximate Riemann solvers, parameters vectors and difference schemes . J. Comput. Phys. , 43 , 357 .
  • Sabel'nikov , V.A. , Deshaies , B. , and Figueira da Silva , L.F. 1998 . Revisited flamelet model for non premixed combustion in supersonic turbulent flows . Combust. Flame , 114 , 577 .
  • Sarkar , S. , and Balakrishnan , L. 1990 . Application of a Reynolds-stress turbulence model to the compressible shear layer. ICASE Report 90–18 NASA CR 182002. .
  • Timnat , Y.M. 1996 . Ramjets and scramjets . In Strother , E.F. and Waltz , D.M. (Eds.) Advanced Airbreathing Propulsion , Orbit Series Book, Krieger Publishing Company , Malabar , Fla. , pp. 7 – 49 .
  • Van Albada , G.D. , Van Leer , B. , and Roberts , W.W. 1982 . A comparative study of computational methods in cosmic gas dynamics . Astronomy and Astrophysics , 108 , 76 .
  • Van Leer , B. 1982 . Flux vector splitting for the Euler equations . Proc. 8th International Conference on Numerical Methods in Fluids Dynamics , Berlin : Springer-Verlag , pp. 507 – 512 .
  • Villermaux , J. , and Devillon , J.C. 1972 . Représentation de la coalescence et de la redispersion des domaines de ségrégation dans un fluide par un modèle d'interaction phénoménologique. Proc. International Symposium on Chemical Reaction Engineering, Amsterdam: Elsevier, vol. B 1–13 .
  • Wepler , U. , and Koschel , W.W. 2002 . Numerical investigation of turbulent reacting flows in a scramjet combustor model. AIAA paper 2002-3572.
  • Williams , F.A. 1985 . Combustion Theory, , 2nd ed. , Benjamin/Cummins Publishing Company , Menlo Park , Calif.
  • Zeman , O. 1990 . Dilatation dissipation: The concept and application in modeling compressible mixing layers . Phys. Fluids , 2 , 176 .

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