Hydrodynamic equations of anisotropic, polarized and inhomogeneous superfluid vortex tangles

D. Jou, M. S. Mongiovì, M. Sciacca

Research output: Contribution to journalArticleResearchpeer-review

31 Citations (Scopus)


We include the effects of anisotropy and polarization in the hydrodynamics of inhomogeneous vortex tangles, thus generalizing the well known HallVinenBekarevichKhalatnikov equations, which do not take them in consideration. These effects contribute to the mutual friction force Fns between normal and superfluid components and to the vortex tension force ρsT. These equations are complemented by an evolution equation for the vortex line density L, which takes into account these contributions. These equations are expected to be more suitable than the usual ones for rotating counterflows, or turbulence behind a cylinder, or turbulence produced by a grid of parallel thin cylinders towed across a superfluid, because in these situations polarization is expected to play a relevant role. © 2010 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)249-258
JournalPhysica D: Nonlinear Phenomena
Publication statusPublished - 1 Feb 2011


  • Hydrodynamic equations
  • Liquid helium II
  • Superfluid turbulence


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