### Abstract

We include the effects of anisotropy and polarization in the hydrodynamics of inhomogeneous vortex tangles, thus generalizing the well known Hall–Vinen–Bekarevich–Khalatnikov 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 anevolution 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 turbulencebehind 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.

Lingua originale | English |
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pagine (da-a) | 249-258 |

Numero di pagine | 10 |

Rivista | PHYSICA D-NONLINEAR PHENOMENA |

Volume | 240 |

Stato di pubblicazione | Published - 2011 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics