An alternative explanation for the nonlinear behavior of the oscillating tuning fork immersed in He II

doi:10.26565/2222-5617-2018-29-03

I. Gritsenko B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Prospekt Nauky 47, Kharkov 61103, Ukraine
Tatyana Dubchak B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Prospekt Nauky 47, Kharkov 61103, Ukraine
Krystyna Mykhailenko B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Prospekt Nauky 47, Kharkov 61103, Ukraine
Grigoriy Sheshin B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Prospekt Nauky 47, Kharkov 61103, Ukraine
Svyatoslav Sokolov B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Prospekt Nauky 47, Kharkov 61103, Ukraine

DOI: https://doi.org/10.26565/2222-5617-2018-29-03

Keywords: quartz tuning fork, turbulence in liquid helium, scattering of phonons by quantized vortices

Abstract

Experiments have been carried out on the excitation of hydrodynamic fl ows in superfl uid helium under forced vibrations of a quartz tuning fork immersed in a liquid. Nonlinear oscillations that arise with an increase in the driving force are investigated and are manifested by distortion of the shape of the resonant amplitude-frequency characteristic in comparison with Lorentz curves typical for an extremely small force. Nonlinear resonance curves are described using the Duffi ng equation, the parameters of which are established by comparing the theoretical calculation with the experimental data. Dependence of the velocity of vibrations of the tuning fork legs on the driving force established with the use of the Duffi ng equation, is close to that previously obtained for the quasi-laminar fl ow of He II and containing a cubic velocity contribution due to the mutual friction caused by scattering of phonons by quantized vortices in a turbulent flow.

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