We have made preliminary flow explorations of molecular hydrogen within a Vycor glass rod between 5 and 35 K and between 2 and 20 atm of differential pressure. An enhanced flow, indicative of the theoretically expected superfluid hydrogen phase, was sought down to 9.5 K but not found. These studies are an obvious extension of a recent helium-saturated Vycor experiment which surprisingly finds no solidification at temperatures and pressures far into the bulk solid phase.
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Bretz et al. (1981) studied this question.