Logarithmic velocity profile of quantum turbulence of superfluid ${}^4$He

Abstract

The logarithmic velocity profile is the most important statistical law of classical turbulence affected by channel walls. This paper demonstrates numerically that the logarithmic velocity profile of a superfluid flow appears in quantum turbulence under pure normal flow in a channel. We investigated the configuration and dynamics of an inhomogeneous vortex tangle affected by the walls, and found the characteristic behavior of the log-law.

5 pages, 5 figures

References in corpus (5)

• Introduction to quantum turbulence
• Visualization study of counterflow in superfluid helium-4 using metastable helium molecules
• Visualization of the normal-fluid turbulence in counterflowing superfluid 4He
• Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence
• Counterflow quantum turbulence of He II in a square channel: Numerical analysis with nonuniform flows of the normal fluid

Cited by in corpus (4)

• Numerical Studies of Quantum Turbulence
• Three-Dimensional Coupled Dynamics of Two-Fluid Model in Superfluid ${}^4$He: Deformed Velocity Profile of Normal Fluid in Thermal Counterflow
• On the Nonuniform Quantum Turbulence in Superfluids
• Modelling turbulent flow of superfluid ${}^4$He past a rough solid wall in the $T=0$ limit