Energy spectra of counterflow quantum turbulence at different temperatures

Abstract

The spectrum of the energy generated by a vortex tangle in the counterflow of normal and superfluid components at different temperatures was obtained. The counterflow magnitude was varied from 0.3 cm/s to 1.2 cm/s and the temperature was varied from 1.3 K to 1.9 K. It was shown that at the distances of the order of intervortex separation, E(k) ∼ k−α, where 1.3 < α < 1.4 depending on the temperature. At larger distances, E(k) ∼ k−1. It was established that under the heat flux corresponding to the Gorter–Mellink regime, the density of energy dissipation is proportional to the cube of the counterflow of normal and superfluid components, i.e., the energy dissipation is due to the friction between the normal component of helium and the vortex tangle.