Measurements of the Periodic Velocity Oscillations Near the Wall in Unsteady Turbulent Channel Flow

  • G. Binder
  • J. L. Kueny
Conference paper


Measurements in turbulent channel flow with forced velocity oscillations of small amplitude have been performed over a wide range of frequencies. The results show that the mean flow and the mean turbulent intensity are not affected by the forced oscillations. The amplitude and the phase shift of the periodic velocity fluctuation follow the laminar Stokes solution at high frequency. At low frequencies near the wall the gradient of the amplitude becomes steeper than in the Stokes flow and the phase shift decreases to slightly negative values. Further from the wall a phase lead is again observed. The results also show that the phase averaged longitudinal turbulent intensity is not simply proportional to the velocity oscillations; the amplitude ratio is position and frequency dependent. It is shown that the Stokes thickness l + s non-dimensionalized with the mean viscous sublayer thickness is the important parameter.


Turbulent Intensity Forced Oscillation Velocity Oscillation Turbulent Channel Flow Phase Lead 
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.



amplitude of nth mode of q


frequency of forced oscillations


characteristic frequency of turbulence


frequency of validation of the laser Doppler signal


channel half-height

\({{l}_{s}} = \sqrt {{2v/\omega }}\)

Stokes length

\({{l}_{v}} = v/{{u}_{\tau }}\)

viscous wall-length scale




period of forced oscillations


longitudinal velocity


shear velocity

Ωh =


x, y

longitudinal and transverse coordinates


phase lead of nth mode of q


kinematic viscosity


wall shear stress




y/l s






time mean


periodic fluctuation

( )

turbulent fluctuation

∣ ∣

amplitude of periodic fluctuation

\(\langle ( )\rangle = {{(}^{ - }}) + {{(}^{ \sim }})\)

ensemble average

\(q = \bar{q} + \tilde{q} + q\prime\)

for any quantity q

\(\langle q\rangle\)

\(\bar{q} + \sum\limits_{{n = 1}}^{\infty } {{{A}_{{nq}}}\cos (n\omega t + {{\phi }_{{nq}}})}\)


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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • G. Binder
    • 1
  • J. L. Kueny
    • 1
  1. 1.Institut de Mécanique, Institut National PolytechniqueUniversité Scientifique et Médicale de GrenobleGrenoble-CedexFrance

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