Spherically symmetric formation of localized vortex tangle around a heat source in superfluid ${}^4$He

Abstract

We study the dynamical process of the vortex tangle development under a spherically symmetric thermal counterflow around a heat source submerged into a bulk superfluid 4He. We reveal a peculiar vortex dynamics that is unique to this geometry, which is greatly diverse from the vortex dynamics in a homogeneous counterflow. Two types of heater are considered here, namely, a spherical heater with a solid wall and a point-like heater. In both cases, a spherical vortex tangle is formed surrounding the heater. The mechanism of vortex tangle development in the vicinity of a solid wall is strongly governed by Donnelly-Glaberson instability; while, far away from the heater or around a point heater, the mechanism is governed by the dynamics of polarized vortex loops in radial counterflow. The decay process of such localized vortex tangles is also investigated and is compared with that of homogeneous vortex tangles.

References in corpus (17)

• Introduction to quantum turbulence
• Quantum hydrodynamics
• Steady State of Counterflow Quantum Turbulence: Vortex filament Simulation with the Full Biot-Savart Law
• Visualization study of counterflow in superfluid helium-4 using metastable helium molecules
• Visualization of the normal-fluid turbulence in counterflowing superfluid 4He
• Metastable helium molecules as tracers in superfluid liquid ${}^4$He
• Vortex line density in counterflowing He II with laminar and turbulent normal fluid velocity profiles
• Fully Coupled Two-Fluid Dynamics in Superfluid ${}^4$He: Anomalous Anisotropic Velocity Fluctuations in Counterflow
• Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence
• Three-Dimensional Coupled Dynamics of Two-Fluid Model in Superfluid ${}^4$He: Deformed Velocity Profile of Normal Fluid in Thermal Counterflow
• Counterflow quantum turbulence of He II in a square channel: Numerical analysis with nonuniform flows of the normal fluid
• Thermal counterflow in a periodic channel with solid boundaries
• Dynamics of the vortex-particle complexes bound to the free surface of superfluid helium
• Turbulent radial thermal counterflow in the framework of the HVBK model
• Evolution of Neutron-Initiated Micro-Big-Bang in superfluid He 3B
• Coupled dynamics for superfluid ${}^4$He in the channel
• Dynamics of fine particles due to quantized vortices on the surface of superfluid ${}^4$He

Cited by in corpus (3)

• Coupled dynamics of quantized vortices and normal fluid in superfluid ${}^4$He based on lattice Boltzmann method
• Cooling with a subsonic flow of quantum fluid
• Transient heat transfer of superfluid ${}^4$He in nonhomogeneous geometries -- Part I: Second sound, rarefaction, and thermal layer