In the work a macroscopic model of inhomogeneous superfluid turbulence previously formulated is further developed to investigate the flow of superfluid helium inside a very thin capillary or a porous medium. A boundary condition is formulated, which is able to explain the reversible flow of helium inside the capillary. Using this condition the propagation of harmonic waves inside a porous medium is studied. It is shown that the model allows the propagation of a wave in which in addition to the hydrodynamical fields (density and velocity) also the temperature, the heat flux and the vortex line density vibrate.
Ardizzone, L., Gaeta, G., Mongiovi, M.S. (2009). Flow of turbulent superfluid helium inside a porous medium. In T. Brugarino, M.S. Mongiovì (a cura di), Bollettino di matematica pura e applicata. Volume II (pp. 135-145). Aracne editrice.
Flow of turbulent superfluid helium inside a porous medium
ARDIZZONE, Lucia;GAETA, Giuseppa;MONGIOVI', Maria Stella
2009-01-01
Abstract
In the work a macroscopic model of inhomogeneous superfluid turbulence previously formulated is further developed to investigate the flow of superfluid helium inside a very thin capillary or a porous medium. A boundary condition is formulated, which is able to explain the reversible flow of helium inside the capillary. Using this condition the propagation of harmonic waves inside a porous medium is studied. It is shown that the model allows the propagation of a wave in which in addition to the hydrodynamical fields (density and velocity) also the temperature, the heat flux and the vortex line density vibrate.
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