166
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Application of Lagrangian probability density function approach to a turbulent jet diffusion flame

&
Article: N9 | Received 31 Jul 2009, Accepted 28 Feb 2010, Published online: 06 Apr 2010

References

  • Batchelor , G. K. 1967 . Fluid Dynamics , Cambridge University Press . The Pitt Building, Trumpington Street, Cambridge CB2 1RP
  • Beér , J. M. and Chigier , N. A. 1972 . Combustion Aerodynamics , London : Applied Science Publishers Ltd. .
  • Bradley , D. , Gaskell , P. H. and Gu , X. J. 1994 . Applications of Reynolds stress; stretched flamelet, mathematical model to computations of turbulent burning velocities and comparison with experiments . Combust. Flame , 96 : 221 – 248 .
  • Boris , J. P. 1989 . New directions in computational fluid dynamics . Annu. Rev. Fluid Mech , 21 : 345 – 385 .
  • Jones , W. P. and Whitelaw , J. H. 1982 . Calculation methods for reacting turbulent flows; a review . Combust. Flame , 48 : 1 – 26 .
  • Pope , S. B. 1976 . The probability approach to the modelling of turbulent reacting flows . Combust. Flame , 27 : 299 – 312 .
  • Pope , S. B. 1979 . The relationship between the probability approach and particle models for reaction in homogeneous turbulence . Combust. Flame , 35 : 41 – 45 .
  • Pope , S. B. and Chen , Y. L. 1990 . The velocity-dissipation probability demsity-function model for turbulent flows . Phys. Fluids A , 2 : 1437 – 1449 .
  • Anand , M. S. , Takahashi , F. , Vangsness , M. D. , Durbin , M. D. and Schmoll , W. J. 1997 . An experimental and computational study of swirling hydogen jet diffusion flames . J. Eng. Gas Turbines Power , 119 : 305 – 314 .
  • Valiño , L. and Dopazo , C. 1991 . A binomial langevin model for turbulent mixing . Phys. Fluids A , 3 : 3034 – 3037 .
  • Rodney , O. Foxy , Cha Chong , M. and Trouillet , P. Lagrangian pdf mixing models for reacting flows . Center for Turbulence Research, Proceedings of the Summer Program . pp. 369 – 380 .
  • Zhang , J. , Gicquela , O. , Veynantea , D. and Tainea , J. 2009 . Monte Carlo method of radiative transfer applied to a turbulent flame modeling with LES . Combust. Aerosp. Propulsion , 337 : 539 – 549 .
  • van Vlieta , E. , Derksena , J. J. , van den Akkera , H. E. A. and Fox , R. O. 2007 . Numerical study on the turbulent reacting flow in the vicinity of the injector of an LDPE tubular reactor . Chem. Eng. Sci. , 62 : 2435 – 2444 .
  • Borghi , R. and Gonzalez , M. 1986 . Application of Lagrangian models to turbulent combustion . Combust. Flame , 63 : 239 – 250 .
  • Kollman , W. 1990 . The pdf approach to turbulent flow . Theor. Comput. Fluid Dyn. , 1 : 249 – 285 .
  • Pope , S. B. 1994 . Lagrangian pdf methods for turbulent flows . Annu. Rev. Fluid Mech. , 26 : 23 – 63 .
  • Haworth , D. C. and Pope , S. B. 1987 . Monte Carlo simulations of a joint pdf equation for turbulent flows in general orthogonal co-ordinates . J. Comput. Phys. , 72 : 311 – 346 .
  • Speilman , L. A. and Levenspiel , O. 1965 . A Monte Carlo treatment for reacting coalescing dispersed phase systems . Chem. Eng. Sci. , 20 : 247 – 254 .
  • James , S. , Zhu , J. and Anand , M. S. Lagrangian pdf transport method for simulations of axisymmetric turbulent reacting flows . 43rd AIAA Aerospace Sciences Meeting and Exhibit (AIAA 2005-156) .
  • Pope , S. B. 1997 . Computationally efficient implementation of combustion chemistry using in situ adaptive tabulation . Combust. Theor. Model. , 1 : 41 – 63 .
  • Berlimont , A. , Chang , Z. and Gouesbet , G. 1998 . Particle Lagrangian tracking with hydrodynamic interactions and collisions . Flow Turbul. Combust. , 60 : 1 – 18 .
  • Jones , W. P. BOFFIN: A Computer Program for Flow and Combustion in Complex Geometries , Imperial College of Science, Technology and Medicine .
  • Currie , G. 1993 . Fundamental Mechanics of Fluids , McGraw-Hill College Div. .
  • Delarue , B. J. and Pope , S. B. 1997 . Application of pdf methods to compressible turbulent flows . Phys. Fluids , 9 : 2704 – 2715 .
  • Burke , S. P. and Schumann , T. E. 1928 . Diffusion flames . Indust. Eng. Chem. , 20 : 998 – 1004 .
  • Barlow , R. , Mbiock , A. and Roekaerts , D. , eds. 2000 . Fifth International Workshop on Measurement and Computation of Turbulent Nonpremixed Flames , Delft, , The Netherlands : Delft University of Technology .
  • Barlow , R. S. and Karpetis , A. N. 2004 . Measurements of scalar variance, scalar dissipation, and length scales in turbulent piloted methane/air jet flames . Flow Turbul. Combust. , 72 : 427 – 448 .
  • Barlow , R. International Workshop on Measurement and Computation of Turbulent Nonpremixed Flames, 2000, Combustion Research Facility Sandia National Laboratories Available at http://www.ca.sandia.gov/tdf/Workshop.html
  • Barlow , R. S. and Frank , J. H. 1998 . Effects of turbulence on species mass fractions in methane/air jet flames . Proc. Combust. Inst. , 27 : 1087 – 1095 .
  • Favre , A. 1971 . Equations statistiques aux uxtuations turbulentes dans les ecoulements compressibles: cas des vitesses et des temperature . C. R. Acad Sci. Ser. A , 273 : 1087 – 1092 .
  • Bradley , D. , Emerson , P. H. , Gaskell , D. R. and Gu , X. J. 2002 . Mathematical modelling of turbulent non-premixed piloted jet flames with local extinctions . Proc. Combust. Inst. , 29 : 2155 – 2162 .
  • Raman , R. O. , Fox , V. and Harvey , A. D. 2004 . Hybrid finite-volume/transported pdf simulations of a partially premixed methane–air flame . Combust. Flame , 136 : 327 – 350 .
  • Masri , R. W. , Dibble , A. R. and Barlow , R. S. 1996 . The structure of turbulent nonpremixed flames revealed by Raman–Rayleigh-LIF measurements . Prog. Energy Combust. Sci. , 22 : 307 – 362 .
  • Nooren , P. A. , Versluis , M. , van der Meer , T. H. , Barlow , R. S. and Frank , J. H. 2000 . Raman–Rayleigh-LIF measurements of temperature and species concentrations in the Delft piloted turbulent jet diffusion flame . Appl. Phys. B , 71 : 95 – 111 .
  • Bilger , R. W. 1976 . The structure of diffusion flames . Combust. Sci. Technol. , 13 : 155 – 170 .
  • Bilger , R. W. 1977 . Reacting rates in diffusion flames . Combust. Flame , 30 : 277 – 284 .
  • Yuasa , Y. and Inoue , H. 1999 . Fifth International Workshop on Measurement and Computation of Turbulent Nonpremixed Flames Darmstadt, , Germany
  • Jones , W. P. and Lindstedt , R. P. 1988 . Global reaction schemes for hydrocarbon combustion . Combust. Flame , 73 : 233 – 249 .
  • Gibson , C. H. and Libby , P. A. 1972 . The distribution of reactants and products near a racting surface . Combust. Sci. Technol. , 6 : 29 – 35 .
  • Cha , C. M. and Pitsch , H. 2002 . Higher-order conditional moment closure modeling of local extinction and reignition in turbulent combustion . Combust. Theory Model. , : 425 – 437 . (6)
  • Mitari , S. , Kosaly , G. and Rley , J. J. 2004 . A new Lagrangian flamelet model for local flame extinction and reignition . Combust. Flame , 137 : 306 – 319 .
  • Sripakagon , P. , Mitari , S. , Kosaly , G. and Pitsch , H. 2004 . Extinction and reignition in a diffusion flame: A direct numerical simulation study . J. Fluid Mech. , 518 : 231 – 259 .
  • Sheikhim , M. R. H. , Drozda , T. G. , Givi , F. A. , Jaberi , P. and Pope , S. B. 2005 . Large eddy simulation of a turbulent nonpremixed piloted methane jet flame . Proc. Combust. Inst. , 30 : 549 – 556 .
  • Fox , R. O. and Raman , V. 2004 . A multienvironment conditional probability density function model for turbulent reacting flows . Phys. Fluids , : 4551 – 4565 .
  • Fox , R. O. , ed. 2003 . Computational Models for Turbulent Reacting Flows , Cambridge : Cambridge University Press .
  • Meyer , Daniel W. and Jenny , Patrick . 2009 . Micromixing models for turbulent flows . J. Comp. Phys. , 228 : 1275 – 1293 .
  • Bilger , R. W. 1989 . Turbulent diffusion flames . Annu. Rev. Fluid Mech. , 21 : 101 – 135 .
  • Jones , W. P. and Lindstedt , R. P. 1988 . The calculation of the structure of laminar counterflow diffusion flames using a global reaction mechanism . Combust. Sci. Technol. , 61 : 31 – 49 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.