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Dynamical similarity and instabilities in high-Stokes-number oscillatory flows of superfluid helium

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Dynamical similarity and instabilities in high-Stokes-number oscillatory flows of superfluid helium. / Schmoranzer, David; Jackson, Martin; Midlik, S et al.

In: Physical review B, Vol. 99, No. 5, 054511, 19.02.2019.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Schmoranzer, D, Jackson, M, Midlik, S, Skyba, M, Bahyl, J, Skokankova, T, Tsepelin, V & Skrbek, L 2019, 'Dynamical similarity and instabilities in high-Stokes-number oscillatory flows of superfluid helium', Physical review B, vol. 99, no. 5, 054511. https://doi.org/10.1103/PhysRevB.99.054511

APA

Schmoranzer, D., Jackson, M., Midlik, S., Skyba, M., Bahyl, J., Skokankova, T., Tsepelin, V., & Skrbek, L. (2019). Dynamical similarity and instabilities in high-Stokes-number oscillatory flows of superfluid helium. Physical review B, 99(5), [054511]. https://doi.org/10.1103/PhysRevB.99.054511

Vancouver

Schmoranzer D, Jackson M, Midlik S, Skyba M, Bahyl J, Skokankova T et al. Dynamical similarity and instabilities in high-Stokes-number oscillatory flows of superfluid helium. Physical review B. 2019 Feb 19;99(5):054511. doi: 10.1103/PhysRevB.99.054511

Author

Schmoranzer, David ; Jackson, Martin ; Midlik, S et al. / Dynamical similarity and instabilities in high-Stokes-number oscillatory flows of superfluid helium. In: Physical review B. 2019 ; Vol. 99, No. 5.

Bibtex

@article{8f5c10a7e5d54a2fb0a07ad5563dc4f3,
title = "Dynamical similarity and instabilities in high-Stokes-number oscillatory flows of superfluid helium",
abstract = "We present a unified analysis of the drag forces acting on oscillating bodies submerged in superfluid helium such as a vibrating wire resonator, tuning forks, a double-paddle oscillator, and a torsionally oscillating disk. We find that for high-Stokes-number oscillatory flows, the drag force originating from the normal component of superfluid helium exhibits a clearly defined universal scaling. Following classical fluid dynamics, we derive the universal scaling law and define relevant dimensionless parameters such as the Donnelly number. We verify this scaling experimentally using all of our oscillators in superfluid 4He and validate the results by direct comparison with classical fluids. We use this approach to illustrate the transition from laminar to turbulent drag regime in superfluid oscillatory flows and compare the critical velocities associated to the production of quantized vortices in the superfluid component with the critical velocities for the classical instabilities occurring in the normal component. We show that depending on the temperature and geometry of the flow, either type of instability may occur first and we demonstrate their crossover due to the temperature dependence of the viscosity of the normal fluid. Our results have direct bearing on present investigations of superfluids using nanomechanical devices [Bradley et al., Sci. Rep. 7, 4876 (2017)].",
author = "David Schmoranzer and Martin Jackson and S Midlik and Maros Skyba and J Bahyl and T Skokankova and Viktor Tsepelin and Ladislav Skrbek",
year = "2019",
month = feb,
day = "19",
doi = "10.1103/PhysRevB.99.054511",
language = "English",
volume = "99",
journal = "Physical Review B: Condensed Matter and Materials Physics",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "5",

}

RIS

TY - JOUR

T1 - Dynamical similarity and instabilities in high-Stokes-number oscillatory flows of superfluid helium

AU - Schmoranzer, David

AU - Jackson, Martin

AU - Midlik, S

AU - Skyba, Maros

AU - Bahyl, J

AU - Skokankova, T

AU - Tsepelin, Viktor

AU - Skrbek, Ladislav

PY - 2019/2/19

Y1 - 2019/2/19

N2 - We present a unified analysis of the drag forces acting on oscillating bodies submerged in superfluid helium such as a vibrating wire resonator, tuning forks, a double-paddle oscillator, and a torsionally oscillating disk. We find that for high-Stokes-number oscillatory flows, the drag force originating from the normal component of superfluid helium exhibits a clearly defined universal scaling. Following classical fluid dynamics, we derive the universal scaling law and define relevant dimensionless parameters such as the Donnelly number. We verify this scaling experimentally using all of our oscillators in superfluid 4He and validate the results by direct comparison with classical fluids. We use this approach to illustrate the transition from laminar to turbulent drag regime in superfluid oscillatory flows and compare the critical velocities associated to the production of quantized vortices in the superfluid component with the critical velocities for the classical instabilities occurring in the normal component. We show that depending on the temperature and geometry of the flow, either type of instability may occur first and we demonstrate their crossover due to the temperature dependence of the viscosity of the normal fluid. Our results have direct bearing on present investigations of superfluids using nanomechanical devices [Bradley et al., Sci. Rep. 7, 4876 (2017)].

AB - We present a unified analysis of the drag forces acting on oscillating bodies submerged in superfluid helium such as a vibrating wire resonator, tuning forks, a double-paddle oscillator, and a torsionally oscillating disk. We find that for high-Stokes-number oscillatory flows, the drag force originating from the normal component of superfluid helium exhibits a clearly defined universal scaling. Following classical fluid dynamics, we derive the universal scaling law and define relevant dimensionless parameters such as the Donnelly number. We verify this scaling experimentally using all of our oscillators in superfluid 4He and validate the results by direct comparison with classical fluids. We use this approach to illustrate the transition from laminar to turbulent drag regime in superfluid oscillatory flows and compare the critical velocities associated to the production of quantized vortices in the superfluid component with the critical velocities for the classical instabilities occurring in the normal component. We show that depending on the temperature and geometry of the flow, either type of instability may occur first and we demonstrate their crossover due to the temperature dependence of the viscosity of the normal fluid. Our results have direct bearing on present investigations of superfluids using nanomechanical devices [Bradley et al., Sci. Rep. 7, 4876 (2017)].

U2 - 10.1103/PhysRevB.99.054511

DO - 10.1103/PhysRevB.99.054511

M3 - Journal article

VL - 99

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

SN - 1098-0121

IS - 5

M1 - 054511

ER -