# Theory of anisotropic superfluid 4He counterflow turbulence

@article{Lvov2022TheoryOA, title={Theory of anisotropic superfluid 4He counterflow turbulence}, author={Victor S. L’vov and Yuri V. Lvov and Sergey Nazarenko and Anna Pomyalov}, journal={Philosophical transactions. Series A, Mathematical, physical, and engineering sciences}, year={2022}, volume={380} }

We develop a theory of strong anisotropy of the energy spectra in the thermally driven turbulent counterflow of superfluid 4He. The key ingredients of the theory are the three-dimensional differential closure for the vector of the energy flux and the anisotropy of the mutual friction force. We suggest an approximate analytic solution of the resulting energy-rate equation, which is fully supported by our numerical solution. The two-dimensional energy spectrum is strongly confined in the…

## References

SHOWING 1-10 OF 75 REFERENCES

Strong anisotropy of superfluid
He4
counterflow turbulence

- PhysicsPhysical Review B
- 2019

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…

Energy Spectra of Developed Turbulence in Helium Superfluids

- Physics
- 2006

We suggest a “minimal model” for the 3D turbulent energy spectra in superfluids, based on their two-fluid description. We start from the Navier–Stokes equation for the normal fluid and from the…

Energy spectra of developed superfluid turbulence

- Physics
- 2004

Turbulence spectra in superfluids are modified by the nonlinear energy dissipation caused by the mutual friction between quantized vortices and the normal component of the liquid. We have found a new…

Counterflow-Induced Inverse Energy Cascade in Three-Dimensional Superfluid Turbulence.

- PhysicsPhysical review letters
- 2020

The emergence of a counterflow-induced inverse energy cascade in three-dimensional superfluid flows is reported by performing extensive numerical simulations of the Hall-Vinen-Bekarevich-Khalatnikov model.

Coexistence and interplay of quantum and classical turbulence in superfluidHe4: Decay, velocity decoupling, and counterflow energy spectra

- Physics
- 2016

We report complementary experimental, numerical, and theoretical study of turbulent coflow, counterflow, and pure superflow of superfluid $^{4}\mathrm{He}$ in a channel, resulting in a physically…

Energy cascade and the four-fifths law in superfluid turbulence

- Physics
- 2012

The 4/5-law of turbulence, which characterizes the energy cascade from large to small-sized eddies at high Reynolds numbers in classical fluids, is verified experimentally in a superfluid 4He wind…

Fully Coupled Two-Fluid Dynamics in Superfluid ^{4}He: Anomalous Anisotropic Velocity Fluctuations in Counterflow.

- PhysicsPhysical review letters
- 2020

The thermal counterflow of the superfluid ^{4}He is investigated by numerically simulating three-dimensional fully coupled dynamics of the two fluids, namely quantized vortices and a normal fluid, and success validates the model of the fully coupling dynamics and paves the way for solving some outstanding problems in this two-fluid system.

Superfluid mechanics for a high density of vortex lines

- Physics
- 1977

There are two well known theories to describe the motion and thermodynamics of superfluids when a large number of quantized vortex lines are present and when the phenomena under study are on scales…

Bottleneck crossover between classical and quantum superfluid turbulence

- Physics
- 2007

We consider superfluid turbulence near absolute zero of temperature generated by classical means, e.g., towed grid or rotation but not by counterflow. We argue that such turbulence consists of a…

Superfluid Helium in Three-Dimensional Counterflow Differs Strongly from Classical Flows: Anisotropy on Small Scales.

- PhysicsPhysical review letters
- 2019

Three-dimensional anisotropic turbulence in classical fluids tends towards isotropy and homogeneity with decreasing scales, allowing-eventually-the abstract model of homogeneous and isotropic…