Quantifying inner-outer interactions in noncanonical wall-bounded flows

We investigate the underlying physics behind the change in amplitude modulation coefficient in noncanonical wall-bounded flows in the framework of the inner-outer interaction model (IOIM) [Baars et al., Phys. Rev. Fluids 1, 054406 (2016)]. The IOIM captures the amplitude modulation effect, and here we focus on extending the model to noncanonical flows. An analytical relationship between the amplitude modulation coefficient and IOIM parameters is derived, which is shown to capture the increasing trend of the amplitude modulation coefficient with an increasing Reynolds number in a smooth-wall dataset. This relationship is then applied to classify and interpret the noncanonical turbulent boundary layer results reported in previous works. We further present the case study of a turbulent boundary layer after a rough-to-smooth change. Both single-probe and two-probe hotwire measurements are performed to acquire streamwise velocity time series in the recovering flow on the downstream smooth wall. An increased coherence between the large-scale motions and the small-scale envelope in the near-wall region is attributed to the stronger footprints of the overenergetic large-scale motions in the outer layer, whereas the near-wall cycle and its amplitude sensitivity to the superposed structures are similar to that of a canonical smooth-wall flow. These results indicate that the rough-wall structures above the internal layer interact with the near-wall cycle in a similar manner as the increasingly energetic structures in a high-Reynolds number smooth-wall boundary layer.

Automated summary

We investigate the physics of the change in amplitude modulation coefficient in noncanonical wall-bounded flows using the inner-outer interaction model (IOIM). By deriving an analytical relationship between the amplitude modulation coefficient and IOIM parameters, we find that the coefficient increases with an increasing Reynolds number in a smooth-wall dataset. We apply this relationship to classify and interpret previous results on noncanonical turbulent boundary layers.