In a rotating He II-filled cylinder with an aspect ratio of 4.3 the transient evolution of the vorticity fields of the normal fluid and the superfluid component during spin-up are investigated. The acoustical method of measurement used utilizes the change of propagation time of first- and second-sound signals irradiated through a slit in the middle of the cylinder. The results of the first-sound measurements within the range 1.3 ≦ T ≦ 2.1 K essentially do not depend on temperature and, for the final state, indicate a lack of about 30% of vorticity compared to solid-body rotation. On the other hand, the results of the second-sound measurements are temperature-dependent and show that the superfluid component reaches solid-body rotation, while the normal fluid fraction seems to slip at the wall. Accordingly, the velocity in the inner part of the flow field adopts a value lower than one would expect from the present velocity of the wall, thus confirming the lack of vorticity observed.
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Albrecht, M. Preliminary measurements of the velocity distribution in a cylinder filled with liquid He II during spin-up. J Low Temp Phys 71, 1–15 (1988). https://doi.org/10.1007/BF00115038
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DOI: https://doi.org/10.1007/BF00115038