266
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Effects of initial mixture fraction on the development of a turbulent reactive mixing layer

&
Article: N33 | Received 03 Feb 2011, Accepted 12 Jul 2011, Published online: 10 Oct 2011

References

  • Drazin , P. G. 1992 . Applications of Bifurcation Theory , Cambridge , , UK : Cambridge University Press .
  • Hilborn , R. C. 1994 . Chaos and Non-linear Dynamics , New York : Oxford University Press .
  • Wasistho , B. , Geurts , B. J. and Kuerten , J. G.M. 1997 . Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate . Comput. Fluids , 26 ( 7 ) : 713 – 739 .
  • Lund , T. S. , Wu , X. and Squires , K. D. 1998 . Generation of turbulent inflow data for spatially developing boundary layer simulations . J. Comput. Phys. , 140 : 233 – 258 .
  • Castillo , L. and Johansson , T. G. 2002 . The effects of upstream conditions on a low-Reynolds number turbulent boundary layer with zero pressure gradient . J. Turbul. , 3 ( 31 ) : 1 – 20 .
  • Boersma , G. J. , Brethouwer , R. and Nieuwstadt , F. T.M. 1998 . A numerical investigation of the effect of the inflow conditions on the self similar region of a round jet . Phys. Fluids , 10 ( 4 ) : 899 – 909 .
  • Balarac , G. , Si-Ameur , M. , Lesieur , M. and Métais , O. 2007 . Direct numerical simulations of high velocity ratio coaxial jets: mixing properties and influence of upstream conditions . J. Turbul. , 8 ( 22 ) : 1 – 28 .
  • Johansson , P. B.V. , George , W. K. and Gourlay , M. J. 2003 . Equilibrium similarity, effects of initial conditions and local Reynolds number on the axisymmetric wake . Phys. Fluids , 15 ( 3 ) : 603 – 617 .
  • Aider , J. L. , Danet , A. and Lesieur , M. 2007 . Large-eddy simulation applied to study the influence of upstream conditions on the time-dependent and averaged characteristics of a backward-facing step flow . J. Turbul. , 8 ( 51 ) : 1 – 31 .
  • Hussain , A. K.M.F. and Zedan , M. F. 1978 . Effects of the initial condition on the axi-symmetric free shear layer: Effects of the initial momentum thickness . Phys. Fluids , 21 : 1100 – 1112 .
  • Browand , F. K. and Latigo , B. O. 1979 . Growth of the two-dimensional mixing layer from a turbulent and non-turbulent boundary layer . Phys. Fluids , 22 : 1011 – 1019 .
  • Bell , J. and Mehta , R. 1990 . Development of a two-stream mixing layer from tripped and untripped boundary layer . AIAA J. , 28 : 2034 – 2042 .
  • Dziomba , B. and Fiedler , H. E. 1985 . Effect of initial conditions on two-dimensional free shear layers . J. Fluid Mech. , 152 : 419 – 442 .
  • Rogers , M. M. and Moser , R. D. 1992 . The three-dimensional evolution of a plane mixing layer: The Kelvin-Helmholtz rollup . J. Fluid Mech. , 243 : 183 – 226 .
  • Moser , R. D. and Rogers , M. M. 1993 . The three-dimensional evolution of a plane mixing layer: Pairing and transition to turbulence . J. Fluid Mech. , 247 : 275 – 320 .
  • Rogers , M. M. and Moser , R. D. 1994 . Direct simulation of a self-similar turbulent mixing layer . Phys. Fluids. , 6 : 903 – 923 .
  • Balaras , E. , Piomelli , U. and Wallace , J. M. 2001 . Self-similar states in turbulent mixing layers . J. Fluid Mech. , 446 : 1 – 24 .
  • Druault , P. , Lareau , S. , Bonnet , J. P. , Coiffet , E. , Delville , J. , Lamballais , E. , Largeau , J. and Perret , L. 2004 . Generation of three-dimensional turbulent inlet conditions for large-eddy simulation . AIAA J. , 42 ( 3 ) : 447 – 456 .
  • Fathali , M. , Klein , M. , Broeckhoven , T. , Lacor , C. and Baelmans , M. 2007 . Generation of turbulent inflow and initial conditions based on multi-correlated random fields . Int. J. Num. Meth. Fluids , 57 ( 1 ) : 93 – 117 .
  • Fathali , M. , Meyers , J. , Rubio , G. , Smirnov , S. and Baelmans , M. 2008 . Sensitivity analysis of initial condition parameters on the transitional temporal turbulent mixing layer . J. Turbul. , 9 ( 12 ) : 1 – 28 .
  • McMurtry , P. A. , Riley , J. J. and Metcalfe , R. W. 1989 . Effects of heat release on the large-scale structure in turbulent mixing layers . J. Fluid Mech. , 199 : 297 – 332 .
  • Miller , R. S. , Madnia , C. K. and Givi , P. 1994 . Structure of a turbulent reacting mixing layer . Combus. Sci. Technol. , 99 : 1 – 36 .
  • Miller , R. S. , Harstad , K. G. and Bellan , J. 2001 . Direct numerical simulation of supercritical fluid mixing layers applied to heptane-nitrogen . J. Fluid Mech. , 436 : 1 – 39 .
  • Slessor , M. D. , Bond , C. L. and Dimotakis , P. E. 1998 . Turbulent shear-layer mixing at high Reynolds number: Effects of inflow conditions . J. Fluid Mech. , 376 : 115 – 138 .
  • Day , M. J. , Mansour , N. N. and Reynolds , W. C. 2001 . Nonlinear stability and structure of compressible reacting mixing layer . J. Fluid Mech. , 446 : 375 – 408 .
  • Livescu , D. , Jaberi , F. A. and Madnia , C. K. 2002 . The effects of heat release on the energy exchange in reacting turbulent shear flow . J. Fluid Mech. , 450 : 35 – 66 .
  • Eswaran , V. and Pope , S. B. 1988 . Direct numerical simulations of the turbulent mixing of a passive scalar . Phys. Fluids , 31 : 506 – 520 .
  • Pantano , C. , Sarkar , S. and Williams , F. A. 2003 . Mixing of a conserved scalar in a turbulent reacting shear layer . J. Fluid Mech. , 481 : 291 – 328 .
  • Majda , A. and Sethian , J. 1985 . The derivation and numerical solution of the equations for zero Mach number combustion . Combus. Sci. Technol. , 42 : 185 – 205 .
  • Guinot , V. 2008 . Wave Propagation in Fluids, Models and Numerical Techniques , London : ISTE .
  • Lesieur , M. , Metais , O. and Comte , P. 2005 . Large-Eddy Simulations of Turbulence , New York : Cambridge University Press .
  • Pitsch , H. and Steiner , H. 2000 . Large-eddy simulation of a turbulent piloted methane/air diffusion flame (Sandia flame D) . Phys. Fluids , 12 : 2541 – 2554 .
  • Peter , N. 2000 . Turbulent Combustion , Cambridge , , UK : Cambridge University Press .
  • Poinsot , T. and Veynante , D. 2005 . Theoretical and Numerical Combustion , Philadelphia , PA : Edwards .
  • Cook , A. W. and Riley , J. J. 1994 . A subgrid model for equilibrium chemistry in turbulent flows . Phys. Fluids , 6 : 2868 – 2870 .
  • Burke , S. P. and Schumann , T. E.W. 1928 . Diffusion flames . Ind. Eng. Chem. , 20 : 998 – 1005 .
  • Brucker , K. A. and Sarkar , S. 2007 . Evolution of an initially turbulent stratified shear layer . Phys. Fluids , 19 : 1 – 18 .
  • Klein , M. , Sadiki , A. and Janicka , J. 2003 . A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations . J. Comput. Phys. , 186 ( 2 ) : 652 – 665 .
  • Erlebacher , G. and Sarkar , S. 1993 . Statistical analysis of the rate of strain tensor in compressible homogeneous turbulence . Phys. Fluids , 5 ( 12 ) : 3240 – 3254 .
  • Cai , X. D. , O’Brien , E. E. and Ladeinde , F. 1998 . Advection of mass fraction in forced, homogeneous, compressible turbulence . Phys. Fluids , 10 ( 9 ) : 2249 – 2259 .
  • Chassaing , P. , Antonia , R. A. , Anselmet , F. , Joly , L. and Sarkar , S. 2002 . Variable Density Fluid Turbulence , Dordrecht , , Netherlands : Kluwer .
  • Tennekes , H. and Lumley , J. L. 1972 . A First Course in Turbulence , Cambridge , MA : MIT Press .
  • Vreman , A. W. , Sandham , N. D. and Luo , K. H. 1996 . Compressible mixing layer growth rate and turbulence characteristics . J. Fluid Mech. , 320 : 235 – 258 .
  • Zeman , O. 1990 . Dilatation dissipation: The concept and application in modeling compressible mixing layers . Phys. Fluids A , 2 ( 2 ) : 178 – 188 .
  • Sarkar , S. , Erlebacher , G. , Hussaini , M. Y. and Kreiss , H. O. 1991 . The analysis and modeling of dilatational terms in compressible turbulence . J. Fluid Mech. , 227 : 473 – 493 .
  • Courant , R. and Friedrichs , K. O. 1948 . Supersonic Flow and Shock Waves , New York : Interscience .
  • Whitham , G. B. 1974 . Linear and Nonlinear Waves , New York : John Wiley .
  • LeVeque , R. J. 2004 . Finite Volume Methods for Hyperbolic Problems , New York : Cambridge University Press .
  • Hirsch , C. 1992 . Numerical Computation of Internal and External Flows, Vol 2: Computational Methods for Inviscid and Viscous Flows , New York : John Wiley .
  • Batchelor , G. K. 1967 . An Introduction to Fluid Dynamics , New York : Cambridge University Press .
  • Tsinober , A. 2001 . An Informal Introduction to Turbulence , New York : Kluwer .
  • Batchelor , G. K. 1953 . The Theory of Homogeneous Turbulence , New York : Cambridge University Press .

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.