Recent experiments have shown that the isothermal turbulent motion of heliu
m II is very similar to classical turbulence. This regime is characterized
by a strong coupling. between the superfluid vortex tangle and the normal-f
luid component. To study this coupled regime we develop an approach to comp
ute the evolution of the vortex tangle. Its key feature is that it is dynam
ically self-consistent, unlike previous approaches, because it takes into a
ccount the back rection of the vortex tangle onto the normal fluid. We impl
ement this approach and study a model system which, although very idealized
, gives some insight into the transfer of energy between the two fluid comp
onents.