An Attractor-Driven Approximation for Turbulent Burst Dynamics in a Supersonic Free Shear Layer

  • J. A. JohnsonIII
  • L. E. Johnson
  • J. Zhang
Conference paper

Abstract

LIF measurements of density fluctuations in a turbulent supersonic free shear layer producedin a Ludwieg tube’s asymmetric nozzle provide evidence of turbulent shocklets and the underlying turbulent burst dynamics. Correlations of shocklet phenomena with changes in chaotic dimension motivate a quasi-one dimensional approximation for an estimator of shocklet properties which makes predictions consistent with the measurements reported and has implications for shocklet observations in other systems.

Key words

Compressible turbulence Supersonic flow Chaotic dimension 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aubry N, Holmes P, Lumley JL, Stone E (1988) The dynamics of coherent structures in the wall region of a turbulent boundary layer. J. Fluid Mechs. 192:115CrossRefMATHADSMathSciNetGoogle Scholar
  2. Corino ER, Brodkey RS (1969), A visual study of turbulent shear flow. J. Fluid Mechs. 37:1CrossRefADSGoogle Scholar
  3. Holmes PJ, Marsden JE, Scheurie J (1989) Hamiltonian dynamical system. Cont. Meth; 81: 213Google Scholar
  4. Johnson III JA, Zhang Y, Johnson LE (1988) Evidence of Reynolds number sensitivity in supersonic turbulent shocklets. AIAA J. 26:502CrossRefADSGoogle Scholar
  5. Kim HT, Kline SJ, Reynolds WC (1971) The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mechs. 50:133CrossRefADSGoogle Scholar
  6. Lee MJ, Kim J, Moin P (1990) Structure of turbulence at high shear rate. J. Fluid Mechs. 216:516–583Google Scholar
  7. Lele SK (1989) Direct numerical simulation of compressible free shear flows., AIAA Paper 89–0374Google Scholar
  8. Lighthill MJ (1958) Fourier analysis and generalized equations. Cambridge University PressGoogle Scholar
  9. Ruelle D, Takens F (1971) On the nature of turbulence. Comm. Math. Phys. 82:137–151CrossRefADSGoogle Scholar
  10. Smalley RE, Wharton L, Levy DH (1975) The fluorescence excitation spectrum of rotationally cooled NO2. J. Chem. Phys. 63:4977CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • J. A. JohnsonIII
    • 1
  • L. E. Johnson
    • 1
  • J. Zhang
    • 2
  1. 1.CeNNAsFlorida A&M Univ.TallahasseeUSA
  2. 2.City CollegeCUNYNew YorkUSA

Personalised recommendations