Coexistence and interplay of quantum and classical turbulence in superfluid He-4: Decay, velocity decoupling and counterflow energy spectra

Abstract

We report complementary experimental, numerical and theoretical study of turbulent coflow, counterflow and pure superflow of superfluid He-4 in a channel, resulting in a physically transparent and relatively simple model of decaying quantum turbulence that accounts for interactions of coexisting quantum and classical components of turbulent superfluid He-. We further offer an analytical theory of the energy spectra of steady-state quantum turbulence in the counterflow and pure superflow, based on algebraic approximation for the energy fluxes over scales. The resulting spectra are not of the classic Kolmogorov form, but strongly suppressed by the mutual friction, leading to the energy dissipation at all scales, enhanced by the counterflow-induced decoupling of the normal- and superfluid velocity fluctuations.

23 pages, 12 figures. Theoretical part is essentially expanded. Phys. Rev. B submitted

References in corpus (5)

• Introduction to quantum turbulence
• Energy Spectra of Developed Turbulencein Helium Superfluids
• Energy and Vorticity Spectra in Turbulent Superfluid ${}^4$He from $T=0$ to $T_{\lambda }$
• Counter-flow Induced Decoupling in Super-Fluid Turbulence
• Mechanical momentum transfer in wall-bounded superfluid turbulence

Cited by in corpus (9)

• Numerical Studies of Quantum Turbulence
• Intermittency enhancement in quantum turbulence
• Exact solutions for nonlinear development of Kelvin-Helmholtz instability for counterflow of superfluid and normal components of Helium II
• Theory of energy spectra in superfluid He-4 counterflow turbulence
• Strong anisotropy of superfluid ${}^4$He counterflow turbulence
• Dynamics of turbulent plugs in a superfluid ${}^4$He channel counterflow
• Statistics of Quantum Turbulence in Superfluid He
• Vinen's latest thoughts on the "bump'' puzzle in decaying He II counterflow turbulence
• Theory of anisotropic superfluid He-4 counterflow turbulence