Scaling of Spinodal Turbulence between Viscous and Inertial Hydrodynamic Regimes

TL;DR

This paper investigates the scaling behavior of spinodal turbulence in the crossover between viscous and inertial regimes, revealing universal scaling laws and analytical forms consistent with simulations and turbulence universality classes.

Contribution

It introduces a new understanding of the scaling laws in spinodal turbulence crossover regimes, supported by analytical derivations and simulation consistency.

Findings

Identified unique scaling exponents in the crossover regime.

Demonstrated consistency with simulation results across a broad range.

Linked spinodal turbulence behavior to the universality class of decaying grid turbulence.

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.