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Bursting and structure of the turbulence in an internal flow manipulated by riblets

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The buffer layer of an internal flow manipulated by riblets is investigated. The distributions of the ejection and bursting frequency from the beginning to the middle part of the buffer layer, together with high moments of the fluctuating streamwise velocity,u′, and its time derivative are reported. The profiles of the ejection and bursting frequency are determined and compared using three single point detection schemes. The effect of the riblets on the bursting mechanism is found confined in a localized region in the buffer layer. The multiple ejection bursts are more affected than the single ejection bursts. The skewness and flatness factors of theu′ signal are larger in the manipulated layer than in the standard boundary layer. That, also holds true for the flatness factor of the time derivative, but the Taylor and Liepman scales are not affected. The spectrum of theu′ signal is altered at the beginning part of the viscous sublayer.

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u τ :

Friction velocity

ν :


l v ;f v :

wall scalesv/u τ;u τ 2 /v

y :

Vertical distance to the wall

Δz :

Spanwise extent


Variable normalized with wall scales

u :

Velocity;u′=Turbulence intensity

h, s :

Height and width of the riblets

f e :

Ejection frequency

f b :

Bursting frequency

f BME :

Frequency of the Bursts with Multiple Ejection

f BSE :

Frequency of Single Ejection Bursts

S andS du′/dt :

Skewness factor ofu′ and its time derivative

F u′ andF du′/dt :

Flatness factor ofu′ and its time derivative


Standard (non-manipulated) Boundary Layer


Manipulated Boundary Layer


Bursts with Multiple Ejections


Bursts with Single Ejections


Variable Interval Time Averaging technique


u′-level technique

mu :

Modifiedu′-level technique


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Correspondence to B. Tanguay.

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Tardu, S., Truong, T.V. & Tanguay, B. Bursting and structure of the turbulence in an internal flow manipulated by riblets. Appl. Sci. Res. 50, 189–213 (1993). https://doi.org/10.1007/BF00850557

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  • Boundary Layer
  • Single Point
  • Middle Part
  • Time Derivative
  • Buffer Layer