Drag force on an oscillating object in quantum turbulence

TL;DR

This study numerically investigates the drag force on an oscillating object in quantum turbulence of superfluid helium, revealing similarities to classical turbulence and providing insights into quantum-classical turbulence correspondence.

Contribution

It presents the first detailed numerical calculation of drag force in quantum turbulence, comparing it with classical turbulence behavior and experimental data.

Findings

Drag force proportional to square of oscillation velocity.

Drag coefficient similar to experimental values.

Quantum turbulence shows classical-like drag behavior.

Abstract

This paper reports results of the computation of the drag force exerted on an oscillating object in quantum turbulence in superfluid $^4$He. The drag force is calculated on the basis of numerical simulations of quantum turbulent flow about the object. The drag force is proportional to the square of the magnitude of the oscillation velocity, which is similar to that in classical turbulence at high Reynolds number. The drag coefficient is also calculated, and its value is found to be of the same order as that observed in previous experiments. The correspondence between quantum and classical turbulences is further clarified by examining the turbulence created by oscillating objects.