Abstract
Changes of temperature distribution of He II in a channel and velocity distributions of super-fluid and normal fluid components of it, which cannot be measured by experiments in the present stage, are simulated by means of a two-dimensional time dependent numerical calculation. A finite element scheme is applied to the two fluid equations which include the Gorter-Mellink mutual friction term. This calculation can clearly simulate not only the case in which the channel is filled with only He II but also the case in which the λ transition occurs in the channel. From the simulated results of the velocity distributions of the two components, it is confirmed that the heat is transported by the one-dimensional internal convection for the heat flux less than the λ transition heat flux. It is also found that two-dimensional natural convectional flow is formed when He I is generated by the heat flux larger than that of λ transition, and the flow strongly influences the heat transport in the channel.
