451
Views
29
CrossRef citations to date
0
Altmetric
Original Articles

Simulation of Spherically Expanding Turbulent Premixed Flames

&
Pages 1509-1540 | Received 08 Jan 2013, Accepted 22 May 2013, Published online: 16 Sep 2013

REFERENCES

  • Abdel-Gayed , R.G. , Al-Khishali , K.J. , and Bradley , D. 1984 . Turbulent burning velocities and flame straining in explosions . Proc. R. Soc. London. A , 391 ( 1801 ), 393 – 414 .
  • Abdel-Gayed , R.G. , Bradley , D. , and Lawes , M. 1987 . Turbulent burning velocities: A general correlation in terms of straining rates . Proc. R. Soc. London. A , 414 ( 1847 ), 389 – 413 .
  • Abdel-Gayed , R.G. , Bradley , D. , Lawes , M. , and Lung , F.K-K. 1988 . Premixed turbulent burning during explosions . Proc. Combust. Inst. , 21 , 497 – 504 .
  • Albin , E. , and D'Angelo , Y. 2012 . Assessment of the evolution equation modelling approach for three-dimensional expanding wrinkled premixed flames . Combust. Flame , 159 , 1932 – 1948 .
  • Andrews , G.E. , Bradley , D. , and Lwakabamba , S.B. 1975 . Measurement of turbulent burning velocity for large turbulent reynolds numbers . Proc. Combust. Inst. , 15 , 655 – 664 .
  • Ashurst , W.T. 1995 . A simple illustration of turbulent flame ball growth . Combust. Sci. Technol. , 104 , 19 – 32 .
  • Ashurst , W.T. , Checkel , M.D. , and Ting , D.S.K. 1994 . The eddy structure model of turbulent flamelet propagation, the expanding spherical and steady planar cases . Combust. Sci. Technol. , 99 , 51 – 74 .
  • Baum , M. , and Poinsot , T. 1995 . Effects of mean flow on premixed flame ignition . Combust. Sci. Technol. , 106 , 19 – 39 .
  • Beretta , G.P. , Rashidi , M. , and Keck , J.C. 1983 . Turbulent flame propagation and combustion in spark ignition engines . Combust. Flame , 52 , 217 – 245 .
  • Blizard , N.C. , and Keck , J.C. 1974 . Experimental and theoretical investigation of turbulent burning model for internal combustion engines. Tech. Rep. 740191. SAE International, Warrendale, PA, USA .
  • Bradley , D. , Gaskell , P.H. , and Gu , X.J. 1996 . Burning velocities, Markstein lengths, and flame quenching for spherical methane–air flames: A computational study . Combust. Flame , 104 , 176 – 198 .
  • Bradley , D. , Haq , M.Z. , Hicks , R.A. , Kitagawa , T. , Lawes , M. , Sheppard , C.G.W. , and Woolley , R. 2003 . Turbulent burning velocity, burned gas distribution, and associated flame surface definition . Combust. Flame , 133 , 415 – 430 .
  • Bradley , D. , Lawes , M. , and Mansour , M.S. 2009 . Explosion bomb measurements of ethanol-air laminar gaseous flame characteristics at pressures up to 1.4 MPa . Combust. Flame , 156 , 1462 – 1470 .
  • Bradley , D. , Lawes , M. , and Mansour , M.S. 2011 . Correlation of turbulent burning velocities of ethanol-air, measured in a fan-stirred bomb up to 1.2 MPa . Combust. Flame , 158 , 123 – 138 .
  • Bradley , D. , Lawes , M. , Scott , M.J. , and Mushi , E.M.J. 1994 . Afterburning in spherical premixed turbulent explosions . Combust. Flame , 99 , 581 – 590 .
  • Bradley , D. , Sheppard , C.G.W. , Woolley , R. , Greenhalgh , D.A. , and Lockett , R.D. 2000 . The development and structure of flame instabilities and cellularity at low Markstein numbers in explosions . Combust. Flame , 122 , 195 – 209 .
  • Bray , K.N.C. 1979. The interaction between turbulence and combustion. Proc. Combust. Inst. , 17, 223–233.
  • Bray , K.N.C. 1990 . Studies of the burning velocity . Proc. R. Soc. London. A , 431 , 315 – 335 .
  • Bray , K.N.C. , Libby , P.A. , and Moss , J.B. 1985 . Unified modeling approach for premixed turbulent combustion, 1: General formulation . Combust. Flame , 61 , 87 – 102 .
  • Chakraborty , N. , Champion , N. , Mura , A. , and Swaminathan , N. 2011 . Scalar-dissipation-rate approach . In Swaminathan , N. , and Bray , K.N.C. (Eds.), Turbulent Premixed Flames , Cambridge , University Press , Cambridge , UK . pp. 74 – 102 .
  • Chakraborty , N. , Rogerson , J.W. , and Swaminathan , N. 2010 . The scalar gradient alignment statistics of flame kernels and its modelling implications for turbulent premixed combustion . Flow Turbul. Combust. , 85 , 25 – 55 .
  • Chaudhuri , S. , Wu , F. , Zhu , D. , and Law , C.K. 2012 . Flame speed and self-similar propagation of expanding turbulent premixed flames . Phys. Rev. Lett. , 108 ( 4 ), 044503–1–5 .
  • Checkel , M.D. , and Thomas , A. 1994 . Turbulent combustion of premixed flames in closed vessels . Combust. Flame , 96 , 351 – 370 .
  • Colin , O. , and Truffin , K. 2011 . A spark ignition model for large eddy simulation based on an FSD transport equation (ISSIM-LES) . Proc. Combust. Inst. , 33 , 3097 – 3104 .
  • Corvellec , C. , Bruel , P. , and Sabel'nikov , V.A. 1999 . A time-accurate scheme for the calculations of unsteady reactive flows at low Mach number . Int. J. Numer. Methods Fluids , 29 ( 2 ), 207 – 227 .
  • Corvellec , C. , Bruel , P. , and Sabel Nikov , V.A. 2000 . Turbulent premixed flames in the flamelet regime: Burning velocity spectral properties in the presence of countergradient diffusion . Combust. Flame , 120 ( 4 ), 585 – 588 .
  • Driscoll , J.F. 2008 . Turbulent premixed combustion: Flamelet structure and its effect on turbulent burning velocities . Prog. Energy Combust. Sci. , 34 , 91 – 134 .
  • Dunstan , T.D. , Swaminathan , N. , and Bray , K.N.C. 2012 . Influence of flame geometry on turbulent premixed flame propagation: A DNS investigation . J. Fluid Mech. , 709 , 191 – 222 .
  • Dunstan , T.D. , Swaminathan , N. , Bray , K.N.C. , and Cant , R.S. 2011 . Geometrical properties and turbulent flame speed measurements in stationary premixed v-flames using direct numerical simulation . Flow Turbulence Combust. , 709 , 237 – 259 .
  • Frank , J.H. , Kalt , P.A.M. , and Bilger , R.W. 1999 . Measurements of conditional velocities in turbulent premixed flames by simultaneous OH PLIF and PIV . Combust. Flame , 116 ( 1–2 ), 220 – 232 .
  • Fureby , C. 2005 . A fractal flame-wrinkling large eddy simulation model for premixed turbulent combustion . Proc. Combust. Inst. , 30 , 593 – 601 .
  • Groff , E.G. 1987 . An experimental evaluation of an entrainment flame-propagation model . Combust. Flame , 67 , 153 – 162 .
  • Hainsworth , E. 1985 . Study of Free Turbulent Premixed Flames . Master's thesis, Massachusetts Institute Technology , Cambridge , MA , USA .
  • Haq , M.Z. , Sheppard , C.G.W. , Woolley , R. , Greenhalgh , D.A. , and Lockett , R.D. 2002 . Wrinkling and curvature of laminar and turbulent premixed flames . Combust. Flame , 131 , 1 – 15 .
  • Jenkins , K.W. , and Cant , R.S. 2002 . Curvature effects on flame kernels in a turbulent environment . Proc. Combust. Inst. , 29 , 2023 – 2029 .
  • Jenkins , K.W. , Klein , M. , Chakraborty , N. , and Cant , R.S. 2006 . Effects of strain rate and curvature on the propagation of a spherical flame kernel in the thin-reaction-zones regime . Combust. Flame , 145 , 415 – 434 .
  • Jones , W.P. 1994 . Turbulence modeling and numerical solution methods for variable density and combustion flows . In Libby , P.A. , and Williams , F.A. (Eds.), Turbulent Reacting Flows , Academic Press , London , UK , pp. 309 – 374 .
  • Kalt , P.A.M. , Frank , J.H. , and Bilger , R.W. 1998. Laser imaging of conditional velocities in premixed propane-air flames by simulataneous OH PLIF and PIV. Proc. Combust. Inst. , 27(1), 751.
  • Kaminski , C.F. , Hult , J. , Aldén , M. , Lindenmaier , S. , Dreizler , A. , Maas , U. , and Baum , M. 2000 . Spark ignition of turbulent methane/air mixtures revealed by time-resolved planar laser-induced fluorescence and direct numerical simulations . Proc. Combust. Inst. , 28 , 399 – 405 .
  • Kee , R.J. , Grcar , J.F. , Smooke , M.D. , and Miller , J.A. 1985 . A Fortran program for modeling steady laminar one-dimensional premixed flames. Tech. Rep. SAND85-8240. Sandia National Laboratories, Livermore, CA, USA .
  • Klein , M. , Chakraborty , N. , and Cant , R.S. 2008 . Effects of turbulence on self-sustained combustion in premixed flame kernels: A direct numerical simulation (DNS) study . Flow Turbul. Combust. , 81 , 583 – 607 .
  • Klein , M. , Chakraborty , N. , Jenkins , K.W. , and Cant , R.S. 2006 . Effects of initial radius on the propagation of premixed flame kernels in a turbulent environment . Phys. Fluids , 18 ( 5 ), 055102 .
  • Kolla , H. , Rogerson , J.W. , Chakraborty , N. , and Swaminathan , N. 2009 . Scalar dissipation rate modeling and its validation . Combust. Sci. Technol. , 181 , 518 – 535 .
  • Kolla , H. , Rogerson , J.W. , and Swaminathan , N. 2010 . Validation of a turbulent flame speed model across combustion regimes . Combust. Sci. Technol. , 182 , 284 – 308 .
  • Kolla , H. , and Swaminathan , N. 2010 . Strained flamelets for turbulent premixed flames, I: Formulation and planar flame results . Combust. Flame , 157 , 943 – 954 .
  • Kolla , H. , and Swaminathan , N. 2011 . Influence of turbulent scalar mixing physics on premixed flame propagation . J. Combust. , 2011 , 1 – 8 .
  • Law , C.K. , and Sung , C.J. 2000 . Structure, aerodynamics, and geometry of premixed flamelets . Prog. Energy Combust. Sci. , 26 , 459 – 505 .
  • Lawes , M. , Ormsby , M.P. , Sheppard , C.G.W. , and Woolley , R. 2012 . The turbulent burning velocity of iso-octane/air mixtures . Combust. Flame , 159 , 1949 – 1959 .
  • Lecocq , G. , Richard , S. , Colin , O. , and Vervisch , L. 2011 . Hybrid presumed pdf and flame surface density approaches for large-eddy simulation of premixed turbulent combustion, part 2: Early flame development after sparking . Combust. Flame , 158 , 1215 – 1226 .
  • Libby , P.A. 1985 . Theory of normal premixed turbulent flames revisited . Prog. Energy Combust. Sci. , 11 , 83 – 96 .
  • Lipatnikov , A.N. , and Chomiak , J. 2000 . Transient and geometrical effects in expanding turbulent flames . Combust. Sci. Technol. , 154 , 75 – 117 .
  • Lipatnikov , A.N. , and Chomiak , J. 2002 . Turbulent flame speed and thickness: Phenomenology, evaluation, and application in multidimensional simulations . Prog. Energy Combust. Sci. , 28 , 1 – 74 .
  • Lipatnikov , A.N. , and Chomiak , J. 2004 . Application of the Markstein number concept to curved turbulent flames . Combust. Sci. Technol. , 176 , 331 – 358 .
  • Lipatnikov , A.N. , and Chomiak , J. 2005 . Molecular transport effects on turbulent flame propagation and structure . Prog. Energy Combust. Sci. , 31 , 1 – 73 .
  • Lutz , A.E. , Kee , R.J. , Grcar , J.F. , and Rupley , F.M. 1997 . OPPDIF: A fortran program for computing opposed-flow diffusion flames. Tech. Rep. SAND96-8243. Sandia National Laboratories, Livermore, CA, USA .
  • Minamoto , Y. , Fukushima , N. , Tanahashi , M. , Miyauchi , T. , Dunstan , T.D. , and Swaminathan , N. 2011 . Effect of flow geometry on turbulence–scalar interaction in premixed flames . Phys. Fluids , 23 , 125107 .
  • Nwagwe , I.K. , Weller , H.G. , Tabor , G.R. , Gosman , A.D. , Lawes , M. , Sheppard , C.G.W. , and Wooley , R. 2000 . Measurements and large eddy simulations of turbulent premixed flame kernel growth . Proc. Combust. Inst. , 28 , 59 – 65 .
  • van Oijen , J.A. , Groot , G.R.A. , Bastiaans , R.J.M. , and de Goey , L.P.H. 2005. A flamelet analysis of the burning velocity of premixed turbulent expanding flames. Proc. Combust. Inst. , 30, 657–664.
  • Patankar , S.V. 1980 . Numerical Heat Transfer and Fluid Flow , Taylor and Francis Group , London , UK .
  • Peters , N. 1999 . The turbulent burning velocity for large-scale and small-scale turbulence . J. Fluid Mech. , 384 , 107 – 132 .
  • Poinsot , T. , Candel , S. , and Trouvé , A. 1995 . Applications of direct numerical simulation to premixed turbulent combustion . Prog. Energy Combust. Sci. , 21 , 531 – 576 .
  • Poinsot , T. , and Veynante , D. 2005 . Theoretical and Numerical Combustion, , 2nd ed. , R.T. Edwards, Inc. , Philadelphia , PA , USA .
  • Pope , S.B. 1987 . Turbulent premixed flames . Ann. Rev. Fluid Mech , 19 , 237 – 270 .
  • Pope , S.B. , and Cheng , W.K. 1986 . Statistical calculations of spherical turbulent flames . Proc. Combust. Inst. , 21 , 1473 – 1481 .
  • Renou , B. , Boukhalfa , A. , Puechberty , D. , and Trinité , M. 2000 . Local scalar flame properties of freely propagating premixed turbulent flames at various Lewis numbers . Combust. Flame , 123 , 507 – 521 .
  • Renou , B. , Mura , A. , Samson , E. , and Boukhalfa , A. 2002 . Characterization of the local flame structure and the flame surface density for freely propagating premixed flames at various Lewis numbers . Combust. Sci. Technol. , 174 , 143 – 179 .
  • Schmid , H.-P. , Habisreuther , P. , and Leuckel , W. 1998 . A model for calculating heat release in premixed turbulent flames . Combust. Flame , 113 , 79 – 91 .
  • Smith , G.P. , Golden , D.M. , Frenklach , M. , Moriarty , N.W. , Eiteneer , B. , Goldenberg , M. , Bowman , C.T. , Hanson , R.K. , Song , S. , Gardiner Jr. , W.C. , Lissianski , V.V. , and Qin , Z. 2000 . Available from: http://www.me.berkeley.edu/gri_mech/ .
  • Swaminathan , N. , Bilger , R.W. , and Ruetsch , G.R. 1997 . Interdependence of the instantaneous flame front structure and the overall scalar flux in turbulent premixed flames . Combust. Sci. Technol. , 128 ( 1 ), 73 .
  • Swaminathan , N. , and Bray , K.N.C. 2005 . Effect of dilatation on scalar dissipation in turbulent premixed flames . Combust. Flame , 143 , 549 – 565 .
  • Swaminathan , N. , and Bray , K.N.C. 2011 . Fundamentals and challenges . In Swaminathan , N. , and Bray , K.N.C. , (Eds.), Turbulent Premixed Flames , Cambridge University Press , Cambridge , UK . pp. 1 – 40 .
  • Tabaczynski , R.J. , Trinker , F.H. , and Shannon , B.A.S. 1980 . Further refinement and validation of a turbulent flame propagation model for spark-ignition engines . Combust. Flame , 39 , 111 – 121 .
  • Tabor , G. , and Weller , H.G. 2004 . Large eddy simulation of premixed turbulent combustion using flame surface wrinkling model . Flow Turbul. Combust. , 72 , 1 – 27 .
  • Taylor , G.I. 1935 . Statistical theory of turbulence, IV: Diffusion in a turbulent air stream . Proc. R. Soc. London, Ser. A , 151 , 151 – 478 .
  • Thévenin , D. 2005 . Three-dimensional direct simulations and structure of expanding turbulent methane flames . Proc. Combust. Inst. , 30 , 629 – 637 .
  • Thévenin , D. , Gicquel , O. , De Charentenay , J. , Hilbert , R. , and Veynante , D. 2002 . Two- versus three-dimensional direct simulations of turbulent methane flame kernels using realistic chemistry . Proc. Combust. Inst. , 29 , 2031 – 2039 .
  • Veynante , D. , Trouv , A. , Bray , K.N.C. , and Mantel , T. 1997 . Gradient and counter-gradient scalar transport in turbulent premixed flames . J. Fluid Mech. , 332 , 263 – 293 .
  • Zhang , S.W. , and Rutland , C.J. 1995 . Premixed flame effects on turbulence and pressure-related terms . Combust. Flame , 102 , 447 – 461 .

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.