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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…

Other Condensed Matter · Physics 2018-04-18 Satoshi Yui , Makoto Tsubota , Hiromichi Kobayashi

We report on a combined theoretical and numerical study of counterflow turbulence in superfluid $^{4}$He in a wide range of parameters. The energy spectra of the velocity fluctuations of both the normal-fluid and superfluid components are…

Other Condensed Matter · Physics 2019-11-06 L. Biferale , D. Khomenko , V. S. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

We study the coupled dynamics of normal and superfluid components of the superfluid $^4$He in the channel considering the counterflow turbulence with laminar normal component. In particular, we calculated profiles of the normal velocity,…

Other Condensed Matter · Physics 2016-12-21 Dmytro Khomenko , Pankaj Mishra , Anna Pomyalov

We develop an analytic theory of strong anisotropy of the energy spectra in the thermally-driven turbulent counterflow of superfluid He-4. The key ingredients of the theory are the three-dimensional differential closure for the vector of…

Other Condensed Matter · Physics 2022-02-23 Victor S. L'vov , Yuri V. Lvov , Sergey Nazarenko , Anna Pomyalov

We investigate the coupled dynamics of quantized vortices and normal fluid in superfluid $^4$He at finite temperatures using a numerical approach based on the vortex filament model (VFM) and lattice Boltzmann method (LBM). The LBM allows us…

Other Condensed Matter · Physics 2021-12-22 Sosuke Inui , Makoto Tsubota

Three-dimensional anisotropic turbulence in classical fluids tends towards isotropy and homogeneity with decreasing scales, allowing --eventually-- the abstract model of "isotropic homogeneous turbulence" to be relevant. We show here that…

Other Condensed Matter · Physics 2019-04-17 L. Biferale , D. Khomenko , V. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

Heat is carried in superfluid He-4 by the motion of the normal fluid$^{1}$, a counterflowing superfluid component serving to eliminate any net mass flow. It has been known for many years that above a critical heat current the superfluid…

Fluid Dynamics · Physics 2010-07-22 Wei Guo , Sidney B. Cahn , James A. Nikkel , William F. Vinen , Daniel N. McKinsey

Based on our current understanding of statistics of quantum turbulence as well as on results of intensive ongoing analytical, numerical and experimental studies we overview here the following problems in the large-scale, space-homogeneous,…

Other Condensed Matter · Physics 2016-11-23 V. S. L'vov , A. Pomyalov

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…

Other Condensed Matter · Physics 2016-11-15 S. Babuin , V. S. L'vov , A. Pomyalov , L. Skrbek , E. Varga

Like many quantum fluids, superfluid helium-4 (He II) can be considered as a mixture of two miscible fluid components: an inviscid superfluid and a viscous normal fluid consisting of thermal quasiparticles [1]. A mutual friction between the…

Quantum Gases · Physics 2022-11-04 Yuan Tang , Wei Guo , Hiromichi Kobayashi , Satoshi Yui , Makoto Tsubota , Toshiaki Kanai

We describe a new technique, using thin lines of triplet-state He2 molecular tracers created by femtosecond-laser field-ionization of helium atoms, for visualizing the flow of the normal fluid in superfluid 4He, together with its…

Other Condensed Matter · Physics 2021-08-03 Alex Marakov , Jian Gao , Wei Guo , Steven W. Van Sciver , Gary G. Ihas , Daniel N. McKinsey , William F. Vinen

We investigated the dynamics of highly turbulent thermally driven anabatic (upslope) flow on a physical model inside a large water tank using particle image velocimetry (PIV) and a thermocouple grid. The results showed that the flow…

Fluid Dynamics · Physics 2023-10-02 Roni H. Goldshmid , Dan Liberzon

The large scale turbulent statistics of mechanically driven superfluid $^4$He was shown experimentally to follow the classical counterpart. In this paper we use direct numerical simulations to study the whole range of scales in a range of…

Other Condensed Matter · Physics 2018-02-28 L. Biferale , D. Khomenko , V. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

In the thermally driven superfluid He-4 turbulence, the counterflow velocity $U_{\rm ns}$ partially decouples the normal and superfluid turbulent velocities. Recently we suggested [J. Low Temp. Phys. 187, 497 (2017)] that this decoupling…

Other Condensed Matter · Physics 2018-07-03 Victor. S. L'vov , Anna Pomyalov

We study numerically nonuniform quantum turbulence of coflow in a square channel by the vortex filament model. Coflow means that superfluid velocity $\bm{v}_s$ and normal fluid velocity $\bm{v}_n$ flow in the same direction. Quantum…

Other Condensed Matter · Physics 2016-04-20 S. Ikawa , M. Tsubota

Thermal counterflow of superfluid $^4$He past a cylinder produces quasi-steady eddies not only downstream but also anomalously upstream. However, the mechanism and organizing principles behind the observed multistable wake topologies (0-,…

Fluid Dynamics · Physics 2026-02-09 Yingxuan Hu , Wenling Huang , Shihao Yang , Limin Qiu , Wei Guo , Shiran Bao

We elucidate the microscopic quantum mechanism of superfluid $^4$He by uncovering a novel characteristic of its many-body energy levels. At temperature below the transition point, the system's low-lying levels exhibit a fundamental grouping…

Quantum Gases · Physics 2025-05-28 Yongle Yu , Hailin Luo

We perform a numerical simulation of the dynamics of quantized vortices produced by coflow in a square channel using the vortex filament model. Unlike the situation in thermal counterflow, where the superfluid velocity $v_{\rm s}$ and…

Other Condensed Matter · Physics 2016-06-03 Shinichi Ikawa , Makoto Tsubota

We discuss an experimental technique to visualize the motion in the bulk of superfluid $^4$He by tracking micron-sized solid hydrogen tracers. The behavior of the tracers is complex since they may be trapped by the quantized vortices while…

Statistical Mechanics · Physics 2009-11-13 Matthew S. Paoletti , Ralph B. Fiorito , Katepalli R. Sreenivasan , Daniel P. Lathrop

We study the influence of two mutual friction models on quantized vortices and normal fluid using two-way coupled simulations of superfluid $^4$He. The normal fluid is affected by quantized vortices via mutual friction. A previous study [Y.…

Other Condensed Matter · Physics 2024-10-18 Hiromichi Kobayashi , Satoshi Yui , Makoto Tsubota
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