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Evolution of Autocorrelation in Detonation Interaction with Homogeneous, Isotropic Turbulence

  • F. K. Lu
  • M. Chauhan
  • L. Massa
Conference paper

Introduction

Detonation-turbulence interaction (DTI) differs from shock-turbulence interaction (STI) due to exothermicity, and the presence of a detonation lengthscale, intrinsic fluctuations of the unstable detonation front and a self-excited unstable region which supports intrinsic time scales. Downstream of the wavefront, a global instability exists due to self-excited acoustic coupling. Linear analysis found selective wave amplification that depends on both the turbulence lengthscale and the half-reaction distance [4]. A subsequent DNS found that the preshock perturbations strongly affect the postshock statistics [3]. This paper examines the evolution of the autocorrelation of the longitudinal velocity fluctuations for STI and DTI, some of which have been presented in [3]. Local homogeneity and isotropy are assumed.

Keywords

Detonation Wave Isotropic Turbulence WENO Scheme Global Instability Detonation Wave Front 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Kessler, D.A., Gamezo, V.N., Oran, E.S.: Simulations of Flame Acceleration and Deflagration-to-Detonation Transitions in Methane–Air Systems. Combust Flame 157(11), 2063–2077 (2010)CrossRefGoogle Scholar
  2. 2.
    Mahesh, K., Lele, S.K., Moin, P.: The Influence of Entropy Fluctuations on the Interaction of Turbulence with a Shock Wave. J. Fluid Mech. 334, 353–379 (1997)MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Massa, L., Chauhan, M., Lu, F.K.: Detonation–Turbulence Interaction. Combust Flame (in press, 2011)Google Scholar
  4. 4.
    Massa, L., Lu, F.K.: The Role of the Induction Zone on the Detonation–Turbulence Linear Interaction. Combust Theory Modelling 15(3), 347–371 (2011)MathSciNetzbMATHCrossRefGoogle Scholar
  5. 5.
    Tavoularis, S., Bennett, J.C., Corrsin, S.: Velocity-Derivative Skewness in Small Reynolds Number, Nearly Isotropic Turbulence. J. Fluid Mech. 88(1), 63–69 (1978)CrossRefGoogle Scholar
  6. 6.
    Deledicque, V., Papalexandris, M.V.: Computational Study of Three-Dimensional Gaseous Detonation Structures. Combust Flame 144(4), 821–837 (2006)CrossRefGoogle Scholar
  7. 7.
    Dou, H., Tsai, H.M., Khoo, B.C., Qiu, J.: Simulations of Detonation Wave Propagation in Rectangular Ducts Using a Three-Dimensional WENO Scheme. Combust Flame 154(4), 644–659 (2008)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • F. K. Lu
    • 1
  • M. Chauhan
    • 1
  • L. Massa
    • 1
  1. 1.Aerodynamics Research Center, Mechanical and Aerospace Engineering DepartmentUniversity of Texas at ArlingtonArlingtonUSA

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