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Paths of energy in turbulent channel flows

Published online by Cambridge University Press:  09 January 2013

A. Cimarelli ,
E. De Angelis  and
C. M. Casciola
A. Cimarelli
Affiliation:
Dipartimento di Ingegneria Industriale, Università di Bologna, 47121 Forlì, Italy
E. De Angelis*
Affiliation:
Dipartimento di Ingegneria Industriale, Università di Bologna, 47121 Forlì, Italy
C. M. Casciola
Affiliation:
Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma La Sapienza, 00185 Roma, Italy
*
†Email address for correspondence: e.deangelis@unibo.it
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Abstract

The paper describes the energy fluxes simultaneously occurring in the space of scales and in the physical space of wall-turbulent flows. The unexpected behaviour of the energy fluxes consists of spiral-like paths in the combined physical/scale space where the controversial reverse energy cascade plays a central role. Two dynamical processes are identified as driving mechanisms for the fluxes, one in the near-wall region and a second one further away from the wall. The former, stronger, one is related to the dynamics involved in the near-wall turbulence regeneration cycle. The second suggests an outer self-sustaining mechanism which is asymptotically expected to take place in the eventual log layer and could explain the debated mixed inner/outer scaling of the near-wall statistics. The observed behaviour may have strong repercussions on both theoretical and modelling approaches to wall turbulence, as anticipated by a simple equation which is shown able to capture most of the rich dynamics of the shear-dominated region of the flow.

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent Flows Turbulent Flows: Turbulent boundary layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 715 , 25 January 2013 , pp. 436 - 451
Copyright
©2013 Cambridge University Press

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