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Renormalization concept of turbulent flame speed

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Numerical Combustion

Part of the book series: Lecture Notes in Physics ((LNP,volume 351))

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References

  • Abdel-Gayed, R. G., Al-Khishali, K. J., and Bradley, D. (1984). Turbulent burning velocities and flame straining in explosions. Proc. Royal Soc. London A391, 393.

    Google Scholar 

  • Ashurst, Wm. T., Sivashinsky, G. I., and Yakhot, V. (1988). Flame front propagation in nonsteady hydrodynamic field. Combust. Sci. and Tech. (1988), to appear.

    Google Scholar 

  • Chomiak, J., and Jarosinsky, J. (1982). Flame quenching by turbulence. Comb. Flame 48, 241.

    Article  Google Scholar 

  • Clavin, P., and Williams, F. A. (1979). Theory of premixed flame propagating in large-scale turbulence. J. Fluid Mech. 90, 589.

    Google Scholar 

  • Kerstein, A., Ashurst, Wm. T., and Williams, F. A. (1988). Field equation for Huygens propagation in an unsteady homogeneous flow field. Phys. Rev. A37, 2728.

    Google Scholar 

  • Moffatt, K. K. (1981). Some developments in the theory of turbulence. J. Fluid Mech. 106, 27.

    Google Scholar 

  • Osher, S., and Sethian, T. A. (1988). Front propagation with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comp. Physics 31, 3571.

    Google Scholar 

  • Rose, H. A. (1977). Eddy diffusivity, eddy noise and subgrid-scale modelling. J. Fluid Mech. 81, 719.

    Google Scholar 

  • Sivashinsky, G. I. (1988). Cascade-renormalization theory of turbulent flame speed. Combust. Sci. and Tech. 62, 77.

    Google Scholar 

  • Sivashinsky, G. I., and Berestycki, H. (1988). Flame extinction by periodic flow field, preprint.

    Google Scholar 

  • Sokolik, A. S., Karpov, W. P., and Semenov, E. S. (1967). Turbulent combustion of gases. Combust. Expl. Shock Waves 30(1), 36.

    Google Scholar 

  • Williams, F. A. (1985). Turbulent combustion, in Mathematics of Combustion, J. D. Buckmaster Ed., SIAM, Philadelphia, 97.

    Google Scholar 

  • Wilson, K. G. (1965). Model Hamiltonians for local quantum field theories. Phys. Rev. 2B, 140, 445.

    Google Scholar 

  • Wilson, K. G. (1971). Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture. Phys. Rev. B4, 3174.

    Google Scholar 

  • Yakhot, V., and Orszag, S. A. (1986). Renormalization group analysis of turbulence. I. Basic Theory. J. Scientific Computing 1(1), 3.

    Article  Google Scholar 

  • Yakhot, V. (1988). Propagation velocity of premixed turbulent flame. Combust. Sci. and Tech. 60, 191.

    Google Scholar 

  • Yakhot, V. (1988). Scale invariant solutions of the theory of thin turbulent flame propagation. Combust. Sci, and Tech., to appear.

    Google Scholar 

  • Zeldovich, Y. B. (1982). Exact solution of the problem of diffusion in a periodic velocity field and a turbulent diffusion. Soviet Physics, Doklady, 27(10), 797.

    Google Scholar 

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Alain Dervieux Bernard Larrouturou

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© 1989 Springer-Verlag

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Sivashinsky, G.I. (1989). Renormalization concept of turbulent flame speed. In: Dervieux, A., Larrouturou, B. (eds) Numerical Combustion. Lecture Notes in Physics, vol 351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51968-8_80

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  • DOI: https://doi.org/10.1007/3-540-51968-8_80

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51968-3

  • Online ISBN: 978-3-540-46866-0

  • eBook Packages: Springer Book Archive

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