He-II Film Transfer Rates for Solid-Ar Beakers

Helium-II film transfer rates have been measured for filling and for emptying beakers of solid Ar. Liquid Ar was frozen slowly in a mold which was later removed, leaving free-standing transparent solid-Ar beakers. The beakers used were of 3-mm i.d., 5-mm o.d., and 3.5 cm in height. Experiments were carried out in the temperature range 1.45-2 K. The dependence of the transfer rate $\ensuremath{\sigma}$ (${\mathrm{cm}}^{3}$/s cm of circumference) on the difference between inner and outer He levels $Z$, height of the beaker lip above the level of the liquid source $H$, and temperature was studied. The transfer rates were lower than those observed with glass beakers, in agreement with theory. For beaker fillings with a level difference of 1 mm and at a temperature of 1.66 K, the measured transfer rates may be described by the relation $\ensuremath{\sigma}=4.8{H}^{\ensuremath{-}0.21}\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ ${\mathrm{cm}}^{2}$/s, where $H$ is in cm.

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