Transient heat transport in helium II cylindrical space

The problem of the dynamics of temperature and normal velocity fields in HeII is investigated by using numerical methods for a finite cylindrical region. The problem is solved in the framework of the hydrodynamics of superfluid turbulence (HST). Two cases are considered: (i) adiabatic case and (ii) isothermal case. It is shown that for adiabatic case the distribution of the temperature is close to uniform along the radius. In the isothermal case more complicated behavior of the temperature along radius is observed. The second aim of the present work is to check out the validity of the wide used Dresner's phenomenological approach for calculations of unsteady heat-transfer processes in HeII. We introduced the new parameter - Dr number. Dresner's method requires Dr number to be equal strictly to unit. It was shown that in the isothermal case during whole transient period the Dr number differs essentially from unit. On this ground we conclude that in this case the Dresner's approach is not applicable.