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Scaling of Spinodal Turbulence between Viscous and Inertial Hydrodynamic Regimes

R. V. R. Pandya

cond-mat.softarXiv:cond-mat/0606675

Abstract

The existence of unique scaling in a crossover regime between viscous and inertial hydrodynamic regimes is revealed for homogeneous, isotropic, incompressible, spinodal turbulence which is characterized, to begin with, by three different length scales and a velocity scale. The obtained scaling exponents are found to be in agreement and in consistency with available simulation results for a broad range of crossover regime. Also, it is observed that the spinodal turbulence in the crossover regime is in complete consistency with the universality class of self-preservation of decaying grid turbulence. We then obtain analytical forms for various scalings, valid in the crossover regime, through the analysis for self-preservation of spinodal turbulence.

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