@article{ISI:000262976900041,
 abstract = {Motivated by many recent experimental studies of nonclassical rotational
inertia (NCRI) in superfluid and supersolid samples, we present a study
of the hydrodynamics of a superfluid confined in the two-dimensional
region (equivalent to a long cylinder) between two concentric arcs of
radii b and a (b < a) subtending an angle beta, with 0 <=beta <= 2 pi.
The case beta=2 pi corresponds to a blocked ring. We discuss the
methodology to compute the NCRI effects and calculate these effects both
for small angular velocities, when no vortices are present, and in the
presence of a vortex. We find that, for a blocked ring, the NCRI effect
is small and that therefore there will be a large discontinuity in the
moment of inertia associated with blocking or unblocking circular paths.
For blocked wedges (b=0) with beta>pi, we find an unexpected divergence
of the velocity at the origin, which implies the presence of either a
region of normal fluid or a vortex for any nonzero value of the angular
velocity. Implications of our results for experiments on
``supersolid″ behavior in solid He-4 are discussed. A number of
mathematical issues are pointed out and resolved.},
 article-number = {016303},
 author = {Dasgupta, Chandan and Valls, Oriol T.},
 doi = {10.1103/PhysRevE.79.016303},
 eissn = {1550-2376},
 issn = {1539-3755},
 journal = {PHYSICAL REVIEW E},
 month = {JAN},
 number = {1, 2},
 orcid-numbers = {Dasgupta, Chandan/0000-0002-0302-1881},
 times-cited = {3},
 title = {Hydrodynamics of superfluids confined in blocked rings and wedges},
 unique-id = {ISI:000262976900041},
 volume = {79},
 year = {2009}
}