Critical velocity for wake vortex generation behind a plate in a superflow

2024/12/10 by Haruya Kokubo, Kokubo, Haruya, Kenichi Kasamatsu +3 · 1 citation
Engineering · #Fluid Dynamics and Vibration Analysis #Fluid Dynamics and Turbulent Flows #Aerodynamics and Fluid Dynamics Research

paper · pdf · doi:10.48550/arxiv.2412.07368

Abstract

We study theoretically the critical velocity U_c for quantum vortex generation by a thin plate-shaped obstacle moving through a uniform Bose-Einstein condensate. Our results based on the Gross-Pitaevskii theory reveal that the critical velocity monotonically decreases with increasing plate size L. In the limit of large L, the critical velocity is asymptotic to L^-1/2 predicted by the potential flow theory for an incompressible ideal fluid with a phenomenological length correction. As L decreases, however, the incompressible analysis breaks down quantitatively. By performing a perturbative analysis to incorporate compressibility into the potential flow theory, we have successfully reproduced the numerical results analytically over a wide parameter range. It is also shown that the critical velocity increases with finite plate thickness.

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• Proper Orthogonal Decomposition of a Superfluid Turbulent Wake

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