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., namely v(c) similar to root 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 ...
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., namely v(c) similar to root 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) proportional to root 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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