Experimental and numerical investigations have been carried out on the
heat transport characteristics in a channel where atmospherically pre
ssurized He II coexists with He I. The channel has a rectangular cross
-section and both ends are open to the bath. One of the side walls of
the channel is heated uniformly. The channel is placed vertically or h
orizontally in the bath. The experimental results are analysed by two-
dimensional time-dependent numerical calculations. An explicit finite
element scheme is applied to the two-fluid equations which include the
Gorter-Mellink mutual friction term. It is found that the applied hea
t is transported by one-dimensional internal convection through the ch
annel filled with single phase He II. Once He I is generated in the ch
annel, however, two-dimensional flow occurs due to natural convection
and this influences the transport of heat.