Active-inactive motions and the inner-scaled streamwise normal stress


Presenter: Rahul Deshpande

 

Townsend (1976) introduced the concept of active and inactive motions for high Reynolds number wall-bounded turbulence, where the active motions are solely responsible for producing the Reynolds shear stresses in the inertial region.  In this talk, we present a data-driven methodology to segregate the active and inactive components of the velocity fluctuations. The inactive motions are found to consist of contributions from classical (self-similar) attached eddies and very-large-scale (super-structure) motions. Amongst these, the pure attached eddy contributions are shown to produce a clear k1 scaling for the streamwise velocity component for both streamwise and spanwise wavenumbers (k). This is consistent with a logarithmic profile for the inner-scaled streamwise velocity variance across the inertial region, lending empirical support to the attached eddy model of Perry & Chong (1982).

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