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On the dynamical relevance of coherent vortical structures in turbulent boundary layers

Published online by Cambridge University Press:  07 April 2010

SERGIO PIROZZOLI ,
MATTEO BERNARDINI  and
FRANCESCO GRASSO
SERGIO PIROZZOLI*
Affiliation:
Dipartimento di Meccanica e Aeronautica, Università di Roma ‘La Sapienza’, Via Eudossiana 18, 00184 Roma, Italy
MATTEO BERNARDINI
Affiliation:
Dipartimento di Meccanica e Aeronautica, Università di Roma ‘La Sapienza’, Via Eudossiana 18, 00184 Roma, Italy
FRANCESCO GRASSO
Affiliation:
Dipartimento di Meccanica e Aeronautica, Università di Roma ‘La Sapienza’, Via Eudossiana 18, 00184 Roma, Italy
*
†Email address for correspondence: sergio.pirozzoli@uniroma1.it
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Abstract

The dynamical relevance of vortex tubes and vortex sheets in a wall-bounded supersonic turbulent flow at Mach number M = 2 and Reynolds number Reθ ≈ 1350 is quantitatively analysed. The flow in the viscous sublayer and in the buffer region is characterized by intense, elongated vorticity tongues forming a shallow angle with respect to the wall, whose characteristic length is O(200) wall units and whose size in the cross-stream direction is O(50) wall units. The formation of vortex tubes takes place starting from y+ ≈ 10, and it is mainly associated with the roll-up and the interaction of vortex sheets. The analysis of the non-local dynamical effect of tubes and sheets suggests that the latter have a more important collective effect, being closely associated with low-speed streaks, and being responsible for a substantial contribution to the mean momentum balance and to the production of turbulence kinetic energy and enstrophy.

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Papers
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Journal of Fluid Mechanics , Volume 648 , 10 April 2010 , pp. 325 - 349
Copyright
Copyright © Cambridge University Press 2010

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