The superfluid properties of thin (100-150 nm) of He-3 were investigat
ed by measuring the rate at which a beaker of liquid He-3 emptied itse
lf through the adsorbed film, with the film thickness delta decreasing
as the level dropped. A beaker rim with a semicircular cross-section
was used to provide a well defined geometry and to avoid the effects o
f small scratches that may have affected earlier experiments. The film
thicknesses were determined by Atkins' oscillaton measurements of He-
4 films on the same surface. The superfluid transition temperature in
the film T(c)F was suppressed below the bulk value T(c)B and was close
to being described by 2delta/xi(T(c)F) = pi, as expected for A-phase.
The critical current density was more than an order of magnitude smal
ler than expected for pair-breaking. When a He-4 monolayer was adsorbe
d on the substrate, there was no suppresson of T(c)F and the critical
current density, was much larger. With or without the He-4 monolayer a
n abrupt decrease in the flow rate was observed as the film thinned, w
hich may be associated with the B to A-phase transition that should oc
cur.