Dissipation scaling for adjacent turbulent streams

Establish the dissipation scaling for two adjacent turbulent streams of comparable intensity when only small-scale intermittency exists in the outer region of a wind-turbine wake.

Background

The study finds that low- and moderate-intensity free-stream turbulence produces a clear non-equilibrium dissipation scaling in the outer wake, with the normalised dissipation coefficient satisfying approximately CεReD/ReλC_{\varepsilon}\sim\sqrt{Re_D}/Re_{\lambda}. For the most intense free-stream turbulence, however, the wake-generated and ambient turbulence become comparable in intensity, large-scale intermittency is suppressed, and no comparable scaling can be identified using a single turbulent Reynolds number.

The unresolved problem is to determine an appropriate dissipation-scaling framework for two adjacent turbulent streams of comparable intensity, particularly in the regime where intermittency is confined to small scales in the outer wake.

References

Finally, the dissipation scaling remains to be established for two adjacent turbulent streams of comparable intensity, where small-scale intermittency alone exists in the outer wake region.

Dissipation scaling in wind turbine wakes exposed to free-stream turbulence  (2609.03996 - Bourhis et al., 3 Sep 2026) in Conclusions and wider discussion, final paragraph