Three-Dimensional Coupled Dynamics of Two-Fluid Model in Superfluid ${}^4$He: Deformed Velocity Profile of Normal Fluid in Thermal Counterflow

Abstract

The coupled dynamics of the two-fluid model of superfluid ${}^4$He is numerically studied for quantum turbulence of the thermal counterflow in a square channel. We combine the vortex filament model of the superfluid and the Navier-Stokes equations of normal fluid. Simulations of the coupled dynamics show that the velocity profile of the normal fluid is deformed significantly by superfluid turbulence as the vortices become dense. This result is consistent with recently performed visualization experiments. We introduce a dimensionless parameter that characterizes the deformation of the velocity profile.

8 pages, 8 figures

References in corpus (5)

• Introduction to quantum turbulence
• Binary Quantum Turbulence Arising from Countersuperflow Instability in Two-Component Bose-Einstein Condensates
• Numerical Studies of Quantum Turbulence
• Counterflow quantum turbulence of He II in a square channel: Numerical analysis with nonuniform flows of the normal fluid
• Coupled dynamics for superfluid ${}^4$He in the channel

Cited by in corpus (19)

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• Coupled dynamics of quantized vortices and normal fluid in superfluid ${}^4$He based on lattice Boltzmann method
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• Vorticity Locking and Pressure Dynamics in Finite-Temperature Superfluid Turbulence
• A hydrodynamic approach to reproduce multiple spinning vortices in horizontally rotating three-dimensional liquid helium-4
• Studies on quantum turbulence with Vinen