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      Dynamical scaling of the critical velocity for the onset of turbulence in oscillatory superflows

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          Abstract

          The critical velocity v_c for the onset of turbulence in oscillatory flows of superfluid helium is known to depend on the oscillation frequency omega, namely v_c ~ sqrt(kappa*omega) where kappa is the circulation quantum. Only the numerical prefactor may have some geometry dependence. This universal behaviour was described earlier qualitatively either by employing the superfluid Reynolds number or by extending known dc vortex dynamics to ac flow. In our present work we emphasize that v_c(omega) ~ sqrt(omega) can also be derived rigorously by means of dynamical scaling of equations of vortex dynamics as pointed out by Kotsubo and Swift already two decades ago.

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          Author and article information

          Journal
          25 March 2011
          Article
          10.1007/s10909-011-0362-0
          1103.5007
          c912ad7d-f4fa-43c9-9827-0942188050b6

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          J. Low Temp. Phys. 164, 1-4 (2011)
          4 pages, 1 figure
          cond-mat.other physics.flu-dyn

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