Theory of anisotropic superfluid 4He counterflow turbulence

  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},
  • V. L’vov, Y. Lvov, A. Pomyalov
  • Published 13 June 2021
  • Physics
  • Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
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… 

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