Critical Exponents and Universality in Fully Developed Turbulence

Abstract

Multi-fractal model for dissipation field has been used to provide a detailed structure for the critical exponent σ describing the scaling form of dissipation ε that appears to exhibit an interesting universality covering radically different hydrodynamic fully developed turbulence (FDT) systems. This result also appears to provide a consistent framework for classification of dissipation field into critical, subcritical and supercritical cases. Some FDT problems that exemplify these cases are discussed.

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