caa a22 4500 445365323 CHVBK 20180317142928.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10909-011-0362-0 doi (NATIONALLICENCE)springer-10.1007/s10909-011-0362-0 Dynamical Scaling of the Critical Velocity for the Onset of Turbulence in Oscillatory Superflows [Elektronische Daten] [R. Hänninen, W. Schoepe] The critical velocity v c for the onset of turbulence in oscillatory flows of superfluid helium is known to depend on the oscillation frequency ω, namely $v_{c}\sim\sqrt{\kappa\omega}$ where κ 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 $v_{c}(\omega)\propto\sqrt{\omega}$ 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. Springer Science+Business Media, LLC, 2011 Critical velocity nationallicence Quantum turbulence nationallicence Oscillatory flow nationallicence Scaling nationallicence Hänninen R. Low Temperature Laboratory, Aalto University, P.O. Box 15100, 00076 AALTO, Espoo, Finland aut Schoepe W. Fakultät für Physik, Universität Regensburg, 93040, Regensburg, Germany aut Journal of Low Temperature Physics Springer US; http://www.springer-ny.com 164/1-2(2011-07-01), 1-4 0022-2291 164:1-2<1 2011 164 10909 https://doi.org/10.1007/s10909-011-0362-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10909-011-0362-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hänninen R. Low Temperature Laboratory, Aalto University, P.O. Box 15100, 00076 AALTO, Espoo, Finland aut NATIONALLICENCE 700 1- Schoepe W. Fakultät für Physik, Universität Regensburg, 93040, Regensburg, Germany aut NATIONALLICENCE 773 0- Journal of Low Temperature Physics Springer US; http://www.springer-ny.com 164/1-2(2011-07-01), 1-4 0022-2291 164:1-2<1 2011 164 10909 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer