Dissipation Properties of Near-Singularities in Small-Scale Turbulence
The inertial range of scales in the turbulent velocity and scalar power spectra is well-described by k−5/3laws. Hunt & Vassilicos (1991) have shown that a self-similar power spectrum, such as E(k) α k−2p with non-integral scaling exponent p, implies the existence in the turbulence of near-singularities1 that cannot be mere isolated discontinuities in the velocities or their derivatives.
KeywordsScalar Field Molecular Diffusion Spiral Structure Anomalous Diffusion Inertial Range
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