In the vicinity of the superfluid transition in liquid He-4, we explore the relation between two apparently unrelated physical quantities-the kinematic viscosity, nu, in the normal state and the quantum of circulation, kappa, in the superfluid state. The model developed here leads to the simple relationship nu approximate to kappa/6, and links the classical and quantum flow properties of liquid He-4.
We critically examine available data relevant to this relation and find that the prediction holds well at the saturated vapor pressure. Additionally, we predict the kinematic viscosity for liquid He-4 along the lambda-line at negative pressures. (C) 2014 AIP Publishing LLC.