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Updated: Apr 30, 2026

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
Published on: February 3, 2014
Hydrodynamics of superfluids confined in blocked rings and wedges
Chandan Dasgupta1, Oriol T Valls
1Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore 560012, India. cdgupta@physics.iisc.ernet.in
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 (bpi , 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 4He are discussed. A number of mathematical issues are pointed out and resolved.
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