|
|
Quantum fluid dynamics and quantum turbulence probed using micro- and nano-resonators
Midlik, Šimon ; Schmoranzer, David (advisor) ; Haley, Richard (referee) ; Skyba, Peter (referee)
In this Thesis, we present an excessive study of the dynamics of quantum fluids em- ploying the detectors in the form of mechanical resonating structures with characteristic dimensions below 1 mm. We operate the devices in normal and superfluid liquid phases of both helium isotopes scanning the wide range of temperatures between 2.17 K and ≈ 150 µK. We show, that the detectors in the form of quartz tuning forks and supercon- ducting vibrating wires are suitable probes in both hydrodynamic and ballistic regimes of superfluids, described by two-fluid model. These devices can be used to initiate and observe turbulent transition in quantum fluids leading to the generation of quantum tur- bulence. The same devices can work as detectors of externally driven turbulent flows. The phenomenon of quantum turbulence, representing any turbulent flow of quantum fluids, is discussed in more detail. We further report observation of turbulent onset in mechanically and thermally driven oscillatory flows. This transition can have origin in both of the components of superfluid 4 He, leading to either classical-like instability or "quantum" instability connected with the generation of quantized vortices. Finally, we discuss the properties and potential of the MEMS and NEMS devices, advancing from much smaller dimensions,...
|
|
|
Spherically symmetrical thermal counterflow of superfluid helium
Novotný, Filip ; Schmoranzer, David (advisor) ; Kohout, Jaroslav (referee)
The principal aim of this Thesis was the investigation of quantum tur- bulence in superfluid helium in a special type of flow, spherically symmetric thermal counterflow. To this end, a new cell was designed and 3D-printed. Measurements of quantum turbulence were realized using the traditional technique of second sound attenuation, focusing both on steady state of tur- bulence and its temporal decay. The measured dependence of the quantized vortex line density L versus the counterflow velocity vns, where the data clearly show that L ∝ v3/2 ns , does not agree with the Vinen equation, which predicts L ∝ v2 ns. On the other hand, the dependence of vortex line density on time t obtained during the decay measurements L ∝ t−1 is paradoxically in close agreement with the Vinen equation. For the future, spherically sym- metrical thermal counterflow thus promises many interesting challenges and will remain an important topic of research. 1
|
|
|
Steady state and decay of quantum turbulence generated in channel flows and detected by second sound attenuation
Varga, Emil ; Skrbek, Ladislav (advisor) ; Vinen, William Frank (referee)
Steady state and decay of quantum turbulence generated in channel flows and detected by second sound attenuation Bc. Emil Varga Abstract Quantum turbulence is studied in superfluid 4 He under classical flow condi- tions. Turbulence is generated by a flow through a 7 × 7 mm square channel with a flow conditioner either with an additional grid or without it. The flow is generated mechanically by squeezing a stainless steel bellows. Vortex line den- sity is measured by attenuation of second sound in both steady state and decay for a range of temperatures 1.17 - 2.16 K. In the steady state, temperature- independent scaling of the vortex line density with flow velocity of the form L ∝ V 3/2 is observed. In the decay the expected late-time behaviour L ∝ t−3/2 is observed. Explanation for both of these observations is based on a quasi- classical model of quantum turbulence, that allows the extraction of the effective kinematic viscosity νeff, which approximately agree with the values available in the literature. Two models based on counterflow theory are also explored and the effect of inhomogeneous vortex line distribution on the measurement tech- nique is studied.
|
|
|
Generation and detection of quantum turbulence in He II by second sound
Midlik, Šimon ; Schmoranzer, David (advisor) ; La Mantia, Marco (referee)
We have performed a study of quantum turbulence generated in oscillatory counterflow as a continuation of previous experiments on various channel flows of superfluid helium, in the form of coflow, thermal DC counterflow and pure superflow. We have investigated its development, steady state properties and temporal decay, as well as the effect of the resonant mode used to generate the turbulence at three different temperatures, 1.45 K, 1.65 K and 1.83 K. The attenuation of low amplitude second sound, orientated perpendicularly to the long axis of the resonator, was used to determine the amount of quantized vortices created. One of the main goals of this work was to characterize the critical parameters for the onset of instabilities in oscillatory counterflow and to determine their values. Decay measurements of the vortex line density allowed us to distinguish between Vinen-type and Kolmogorov- type decays of quantum turbulence.
|
|
|
Investigation of quantum turbulence using microresonators
Midlik, Šimon ; Schmoranzer, David (advisor) ; Kohout, Jaroslav (referee)
The principal aim of this Thesis is the construction of a cryogenic setup for the investigation of quantum turbulence in superfluid helium (He II) using microresonators and a to perform a study of the transition to turbulence in oscillatory flow of He II in the temperature range from 2.170 K down to 1.293 K. We have designed and constructed a setup consisting of a superconducting vibrating microwire and a so-called fountain pump, and, after initial testing and characterization, used it to probe the instabilities occurring in the flow of He II. Specifically, we were interested in the origin of the instabilities in the flow around the microwire and in the question whether they originate mostly from classical-like flow of the normal component, as is often the case with the well-known tuning forks, or whether they are related to the generation of quantized vortices in the superfluid component of He II. To distinguish between these two types of instabilities, we have derived from the Navier-Stokes equations scaling laws related to drag forces in classical oscillatory flow, which we have applied to the normal component of superfluid helium. This also enabled us to verify the validity of the high-frequency limit of oscillatory flow for the case of the microwire. Finally, we have examined the capability of the...
|
|
|
Spherically symmetrical thermal counterflow of superfluid helium
Novotný, Filip ; Schmoranzer, David (advisor) ; Kohout, Jaroslav (referee)
The principal aim of this Thesis was the investigation of quantum tur- bulence in superfluid helium in a special type of flow, spherically symmetric thermal counterflow. To this end, a new cell was designed and 3D-printed. Measurements of quantum turbulence were realized using the traditional technique of second sound attenuation, focusing both on steady state of tur- bulence and its temporal decay. The measured dependence of the quantized vortex line density L versus the counterflow velocity vns, where the data clearly show that L ∝ v3/2 ns , does not agree with the Vinen equation, which predicts L ∝ v2 ns. On the other hand, the dependence of vortex line density on time t obtained during the decay measurements L ∝ t−1 is paradoxically in close agreement with the Vinen equation. For the future, spherically sym- metrical thermal counterflow thus promises many interesting challenges and will remain an important topic of research. 1
|
|
|
Flow instabilities due to torsional oscillators in superfluid helium
Skokánková, Tamara ; Schmoranzer, David (advisor) ; Urban, Pavel (referee)
This Thesis is devoted to the investigation of superfluid helium flows due to torsional oscillators. In its first part, flow due to a torsionally oscillating disc suspended on a tungsten filament is studied (building upon the work of A. C. Hollis Hallett from 1952). Measurements of the motion of the torsionally oscillating disc were performed in superfluid helium at temperatures between 1.265 K and 2.157 K at saturated vapour pressure. Time traces of the disc angular deflection were obtained, and critical parameters related to the turbulent flow stability were determined. In laminar flow, scaling of drag forces with the dimensionless Donnelly number was verified. Based on these results, and comparison with the original work, a scenario of the decay of turbulent flow was suggested. The second part of this work is focused on the development and construction of a similar experiment for mK temperatures. A new type of oscillator was designed, a so-called "pillbox", and a series of testing measurements was performed both at room and mK temperatures.
|
|
|
Generation and detection of quantum turbulence in He II by second sound
Midlik, Šimon ; Schmoranzer, David (advisor) ; La Mantia, Marco (referee)
We have performed a study of quantum turbulence generated in oscillatory counterflow as a continuation of previous experiments on various channel flows of superfluid helium, in the form of coflow, thermal DC counterflow and pure superflow. We have investigated its development, steady state properties and temporal decay, as well as the effect of the resonant mode used to generate the turbulence at three different temperatures, 1.45 K, 1.65 K and 1.83 K. The attenuation of low amplitude second sound, orientated perpendicularly to the long axis of the resonator, was used to determine the amount of quantized vortices created. One of the main goals of this work was to characterize the critical parameters for the onset of instabilities in oscillatory counterflow and to determine their values. Decay measurements of the vortex line density allowed us to distinguish between Vinen-type and Kolmogorov- type decays of quantum turbulence.
|
|
|
Investigation of quantum turbulence using microresonators
Midlik, Šimon ; Schmoranzer, David (advisor) ; Kohout, Jaroslav (referee)
The principal aim of this Thesis is the construction of a cryogenic setup for the investigation of quantum turbulence in superfluid helium (He II) using microresonators and a to perform a study of the transition to turbulence in oscillatory flow of He II in the temperature range from 2.170 K down to 1.293 K. We have designed and constructed a setup consisting of a superconducting vibrating microwire and a so-called fountain pump, and, after initial testing and characterization, used it to probe the instabilities occurring in the flow of He II. Specifically, we were interested in the origin of the instabilities in the flow around the microwire and in the question whether they originate mostly from classical-like flow of the normal component, as is often the case with the well-known tuning forks, or whether they are related to the generation of quantized vortices in the superfluid component of He II. To distinguish between these two types of instabilities, we have derived from the Navier-Stokes equations scaling laws related to drag forces in classical oscillatory flow, which we have applied to the normal component of superfluid helium. This also enabled us to verify the validity of the high-frequency limit of oscillatory flow for the case of the microwire. Finally, we have examined the capability of the...
|
|
|
Steady state and decay of quantum turbulence generated in channel flows and detected by second sound attenuation
Varga, Emil ; Skrbek, Ladislav (advisor) ; Vinen, William Frank (referee)
Steady state and decay of quantum turbulence generated in channel flows and detected by second sound attenuation Bc. Emil Varga Abstract Quantum turbulence is studied in superfluid 4 He under classical flow condi- tions. Turbulence is generated by a flow through a 7 × 7 mm square channel with a flow conditioner either with an additional grid or without it. The flow is generated mechanically by squeezing a stainless steel bellows. Vortex line den- sity is measured by attenuation of second sound in both steady state and decay for a range of temperatures 1.17 - 2.16 K. In the steady state, temperature- independent scaling of the vortex line density with flow velocity of the form L ∝ V 3/2 is observed. In the decay the expected late-time behaviour L ∝ t−3/2 is observed. Explanation for both of these observations is based on a quasi- classical model of quantum turbulence, that allows the extraction of the effective kinematic viscosity νeff, which approximately agree with the values available in the literature. Two models based on counterflow theory are also explored and the effect of inhomogeneous vortex line distribution on the measurement tech- nique is studied.
|
guest ::
