A model is presented for the analysis of the results of extraction of urani
um in a flow system by supercritical fluid modified with tributylphosphate
from a nitric acid matrix, in which the extraction is not limited by the so
lubility of the uranium species. The model used is that of diffusion out of
a sphere into a medium in which the extracted uranium is infinitely dilute
. Although not a completely accurate representation of the liquid-supercrit
ical fluid system, the model is shown to be a reasonable representation and
some conclusions discussed.