228
Views
221
CrossRef citations to date
0
Altmetric
Original Articles

Propagation Velocity of Premixed Turbulent Flames

Pages 191-214 | Received 11 Dec 1987, Accepted 22 Mar 1988, Published online: 27 Apr 2007

REFERENCES

  • Abdel-Gayed , R. G. , Al-Khishali , K. J. , and Bradley , P. , Theory of Premixed-Flame Propagation in Large-Scale Turbulence , Proc. R. Soc. London A391 , 393 ( 1984 ).
  • Ashurst , W. T. and Barr , P. K. , Stochastic Calculation of Laminar Wrinkled Flame Propagation via Vortex Dynamics . Combustion Sci. Tech. 34 . 227 ( 1983 ).
  • Chorin , A. J. , Flame Advection and Propagation Algorithms , J. Camp. Phys. 35 , 1 ( 1980 ).
  • Clavin , P. and Williams , F. A. , Theory of Premixed-Flame Propagation in Large-Scale Turbulence , J. Fluid Mech. 90 , 589 – 604 ( 1979 ).
  • Dannevik , W. P. , Yakhot , V. , and Orszag , S. A. , Analytical Theories of Turbulence and the ε-Expansion , Phys. Fluids 30 ( 7 ), 2021 ( 1987 ).
  • DeDominicis , C. and martin , P. c. , Energy Spectra of Certain Randomly Stirred Fluids , Phys. Rev. A19 , 419 ( 1979 ).
  • Forster , D. , Nelson , D. , and Stephen , M. , Large Distance and Long-Time Properties of a Randomly Stirred Fluid . Phys. Rev . A16 , 732 ( 1977 ).
  • Ghoneim , A. F. , Effect of Large Scale Structures on Turbulent Flame Propagation , Combust. Flame 64 , 321 ( 1986 )
  • Ghoneim , A. F. and Knio , O. M. , Modelling of Premixed Combustion Using a Thin Flame Sheet and Effect of the Hydrodynamic Stability ( preprint , 1988 ).
  • Kerstein , A. R. , Pair-Exchange Model of Turbulent Premixed Flame Propagation , 21st International Symposium on Combustion , Proceedings (in press) .
  • Kerstein , A. R. , Ashurst , W. T. , and Williams , F. A. , Field Equations for Huygens Propagation in an Unsteady Homogeneous flow Field , Phys. fluids ( 1988 ) ( in press ).
  • Kerstein , A. , Simple Derivation of Yakhot's Turbulent Premixed Flame Speed Formula, CST , 1988 ( in press ).
  • Kerstein , A. and Yakhot , V. , Taylor Hypothesis in the Theory of Turbulent Combustion , unpublished .
  • Klimov , A. M. , On the Models of Turbulent Combustion , Gorenie i Vzryv , Nauka Publ. , Moscow ( 1977 ), in Russian .
  • Osher , S. and Sethian , J. A. , Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations ( preprint , 1987 ).
  • Sehelkin , K. I. , NACA Tech. Memo. # 1110 ( 1947 ).
  • Sethian , J. A. , Curvature and the Evolution of Fronts , Commun. Math. Phys. 101 , 487 – 499 ( 1985 ).
  • Sethian , J. A. , Hypersurfaces Moving with Curvature Depending Speed: Hamilton-Jacobi Equations , Conservation Laws and Numerical Algorithms ( preprint , 1987 ).
  • Williams , F. A. , combustion Theory , Benjamin/Cumming Publ. , Menlo Park , California ( 1985a ).
  • F. A. Williams , in The Mathematics of Combustion . Ed. J. D. Buckmaster , SIAM , Philadelphia ( l985b ).
  • Yakhot , V. and Orszag , S. A. , Renormalization Group Analysis of Turbulence. I. Basic Theory , J. Sci. Camp. 1 , 3 ( 1986 ).
  • Yakhot , V. and Orszag , S. A. , Renormalization Group Analysis of Turbulene , Phys. Rev. let. 57 , 1722 ( 1986 ).
  • Yakhot , V. , Orszag , S. A. , and Panda , R. , Computational Test of the Renormalization Group Theory of Turbulence , Phys. Rev. lett. ( 1988 ) submitted .
  • Yakhot , V. and Orszag , S. A. , Validity of the ε-expansion in Turbulence Theory: Approximate Renormalization Group for Diffusion of a Passive Scalar in a Random Velocity Field . Phys. Rev. A 1988 ( submitted ).
  • Yakhot , V. , Scaling Properties of the Flame Front Equation . 1988 ( preprint ).

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.