Spectral Analysis

Lesson

Introduction
Some definitions
Power spectral density (PSD)
Scaling analysis
- Spectral exponent
- Scaling analysis : anisotropy
- Scaling analysis : boundary layer
Identification of some processes
Exercises
To go further
Conclusion

Scaling analysis : boundary layer

Turbulent boundary layer :

Laboratory measurement of boundary layer turbulence flow show that the energy power spectra is proportional to . [ Korotkov, 1976^[1]] indicated that the -1 power law is a consequence of the assumption that the turbulence spectra are fully determined by the friction :

$E(k) \approx u_* ^{2} k^{-1}$

(a) : Sketch of turbulent boundary layer, (b) : Laser-induced fluorescence image of an incompressible turbulent boundary layer.[C. Delo and A.J. Smits, 1997] | Information^[2]

(a) : Sketch of turbulent boundary layer, (b) : Laser-induced fluorescence image of an incompressible turbulent boundary layer.[C. Delo and A.J. Smits, 1997] | Information^[2]

Korotkov, B. N. [1976]
Korotkov, B. N. (1976). Kinds of local self-similarity of the velocity field of prewall turbulent flows. Fluid Dynamics, 11(6), 850-856.
Delo, C., & Smits, A. J. (1997). Volumetric visualization of coherent structure in a low Reynolds number turbulent boundary layer. International Journal of Fluid Dynamics, 1(3), 1-9.

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