The structure of a confined fluid of hard circular cylinders confined
to a slit is studied using a simple theory in the context of a restric
ted orientation model; previous work is extended to higher densities.
It is shown that, as the density increases, the fluid within the centr
al region of the slit undergoes phase transitions which depend on the
ratio, l/d, of the length to the diameter of the cylinders, and these
transitions are interpreted in terms of the bulk behaviour of the flui
d. When l/d is 0.25, the bulk fluid first undergoes a first-order isot
ropic-nematic transition as the density increases and then makes a tra
nsition to a spatially ordered phase. On the other hand when l/d is 0.
8, the fluid undergoes a transition to a spatially ordered phase and d
oes not pass through a nematic phase at all. These results are qualita
tively in agreement with results obtained by Frenkel and Mulder from t
he simulation of hard ellipsoids. The limitations of the model are dis
cussed and suggestions made for modifications to improve upon the quan
titative predictions of the model at high densities.