Abstract
We investigate through direct numerical simulations (DNSs) the
statistical properties of turbulent flows in the inertial subrange for
non-Newtonian power-law fluids. The structural invariance found for the
vortex size distribution is achieved through a self-organized mechanism
at the microscopic scale of the turbulent motion that adjusts, according
to the rheological properties of the fluid, the ratio between the
viscous dissipations inside and outside the vortices. Moreover, the
deviations from the K41 theory of the structure functions' exponents
reveal that the anomalous scaling exhibits a systematic nonuniversal
behavior with respect to the rheological properties of the fluids.
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