Abstract

This study considers a large-scale flow freely evolving through a periodic array of oscillating triangular eddies. The effective eddy viscosity induced by the system appears to be isotropic, i.e., insensitive to the spatial orientation of the underlying periodic flow field. In contrast to the previously studied situation with time-independent periodic flow, the eddy viscosity generated by rapidly oscillating eddies may be negative, thereby reducing the total (molecular and eddy) viscosity of the system. At sufficiently high Reynolds numbers, the total viscosity might even become negative promoting spontaneous formation of large-scale structures.

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