Thermodynamical derivation of a hydrodynamical model of inhomogeneous superfluid turbulence

摘要: In this paper, we build up a thermodynamical model of inhomogeneous superfluid turbulence to describe vortex diffusion in turbulent tangles, and coupling between second sound vortex-density waves. The theory chooses as fundamental fields the density, velocity, energy heat flux, averaged line length per unit volume. restrictions on constitutive quantities are deduced from entropy principle, using Liu method Lagrange multipliers. Field equations written wave propagation is studied with aim mutual interactions tangle.