Some hydrodynamic aspects of superfluid helium

Abstract

A brief critical survey on the hydrodynamic formulations of the superfluid helium is given first. For the irreversible process, three major formulations, i.e. those due to Gorter-Mellink, Lin, and Hall-Vinen, Bekarevitch-Khalatnikov, are described, discussed and compared. Then some results of analyses based on the Gorter-Mellink formulation are presented. The paper concludes with some interesting findings resulting from the assumption that rotons are vortex rings.