Particle tracking velocimetry applied to thermal counterflow in superfluid : Motion of the normal fluid at small heat fluxes
Abstract
This paper is concerned with thermal counterflow in superfluid 4He, particularly with the motion of the normal component at small heat fluxes when this motion is believed to be laminar. Recent experiments in which this motion is traced with micron-sized particles of solid deuterium show that the motion is not spatially uniform on a scale of order the spacing of the quantized vortex lines in the superfluid component. It is argued that this lack of uniformity has its origin in the fact that the force of mutual friction, which limits the thermal conductivity, is concentrated near the cores of the vortex lines. Possible effects of this concentration of force are discussed, and it is concluded that the experimental observations can be explained only if the vortex lines are arranged randomly in space, so that the observed lack of uniformity in the normal-fluid velocity can be regarded as being due partly to spatial variations in the vortex line density. Furthermore, problems remain, in that the form of the observed velocity correlation function has still to be understood.
- Authors:
-
- National High Magnetic Field Lab., Tallahassee, FL (United States); Florida State Univ., Tallahassee, FL (United States)
- Univ. of Birmingham, Birmingham (United Kingdom)
- Publication Date:
- Research Org.:
- National High Magnetic Field Lab., Tallahassee, FL (United States); Florida State Univ., Tallahassee, FL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Org.:
- Dr. W.F. Vinen from University of Birmingham
- OSTI Identifier:
- 1558801
- Alternate Identifier(s):
- OSTI ID: 1559073
- Report Number(s):
- DOE-FSU-20113
Journal ID: ISSN 2469-990X; TRN: US2000252
- Grant/Contract Number:
- SC0020113
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Fluids
- Additional Journal Information:
- Journal Volume: 4; Journal Issue: 8; Journal ID: ISSN 2469-990X
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; superfluid heliu; flow visualization; particle tracking velocimetry; thermal counterflow; quantized vortices
Citation Formats
Mastracci, Brian, Bao, Shiran, Guo, Wei, and Vinen, William Frank. Particle tracking velocimetry applied to thermal counterflow in superfluid He4: Motion of the normal fluid at small heat fluxes. United States: N. p., 2019.
Web. doi:10.1103/PhysRevFluids.4.083305.
Mastracci, Brian, Bao, Shiran, Guo, Wei, & Vinen, William Frank. Particle tracking velocimetry applied to thermal counterflow in superfluid He4: Motion of the normal fluid at small heat fluxes. United States. https://doi.org/10.1103/PhysRevFluids.4.083305
Mastracci, Brian, Bao, Shiran, Guo, Wei, and Vinen, William Frank. Tue .
"Particle tracking velocimetry applied to thermal counterflow in superfluid He4: Motion of the normal fluid at small heat fluxes". United States. https://doi.org/10.1103/PhysRevFluids.4.083305. https://www.osti.gov/servlets/purl/1558801.
@article{osti_1558801,
title = {Particle tracking velocimetry applied to thermal counterflow in superfluid He4: Motion of the normal fluid at small heat fluxes},
author = {Mastracci, Brian and Bao, Shiran and Guo, Wei and Vinen, William Frank},
abstractNote = {This paper is concerned with thermal counterflow in superfluid 4He, particularly with the motion of the normal component at small heat fluxes when this motion is believed to be laminar. Recent experiments in which this motion is traced with micron-sized particles of solid deuterium show that the motion is not spatially uniform on a scale of order the spacing of the quantized vortex lines in the superfluid component. It is argued that this lack of uniformity has its origin in the fact that the force of mutual friction, which limits the thermal conductivity, is concentrated near the cores of the vortex lines. Possible effects of this concentration of force are discussed, and it is concluded that the experimental observations can be explained only if the vortex lines are arranged randomly in space, so that the observed lack of uniformity in the normal-fluid velocity can be regarded as being due partly to spatial variations in the vortex line density. Furthermore, problems remain, in that the form of the observed velocity correlation function has still to be understood.},
doi = {10.1103/PhysRevFluids.4.083305},
journal = {Physical Review Fluids},
number = 8,
volume = 4,
place = {United States},
year = {2019},
month = {8}
}
Web of Science
Works referenced in this record:
Visualization of the normal-fluid turbulence in counterflowing superfluid
journal, March 2015
- Marakov, A.; Gao, J.; Guo, W.
- Physical Review B, Vol. 91, Issue 9
Triple Vortex Ring Structure in Superfluid Helium II
journal, October 2000
- Kivotides, D.
- Science, Vol. 290, Issue 5492
Steady-state counterflow quantum turbulence: Simulation of vortex filaments using the full Biot-Savart law
journal, March 2010
- Adachi, Hiroyuki; Fujiyama, Shoji; Tsubota, Makoto
- Physical Review B, Vol. 81, Issue 10
Three-Dimensional Coupled Dynamics of the Two-Fluid Model in Superfluid : Deformed Velocity Profile of Normal Fluid in Thermal Counterflow
journal, April 2018
- Yui, Satoshi; Tsubota, Makoto; Kobayashi, Hiromichi
- Physical Review Letters, Vol. 120, Issue 15
Motion of tracer particles in He II
journal, February 2005
- Poole, D. R.; Barenghi, C. F.; Sergeev, Y. A.
- Physical Review B, Vol. 71, Issue 6
Vortex spectrum in superfluid turbulence: Interpretation of a recent experiment
journal, January 2008
- Roche, P. -E.; Barenghi, C. F.
- EPL (Europhysics Letters), Vol. 81, Issue 3
Dissipation in quantum turbulence in superfluid above 1 K
journal, May 2018
- Gao, J.; Guo, W.; Yui, S.
- Physical Review B, Vol. 97, Issue 18
The Observed Properties of Liquid Helium at the Saturated Vapor Pressure
journal, November 1998
- Donnelly, Russell J.; Barenghi, Carlo F.
- Journal of Physical and Chemical Reference Data, Vol. 27, Issue 6
Vortex density spectrum of quantum turbulence
journal, February 2007
- Roche, P. -E; Diribarne, P.; Didelot, T.
- Europhysics Letters (EPL), Vol. 77, Issue 6
Energy spectrum of thermal counterflow turbulence in superfluid helium-4
journal, September 2017
- Gao, J.; Varga, E.; Guo, W.
- Physical Review B, Vol. 96, Issue 9
Exploration of thermal counterflow in He II using particle tracking velocimetry
journal, June 2018
- Mastracci, Brian; Guo, Wei
- Physical Review Fluids, Vol. 3, Issue 6
Vortex line density in counterflowing He II with laminar and turbulent normal fluid velocity profiles
journal, November 2013
- Baggaley, A. W.; Laizet, S.
- Physics of Fluids, Vol. 25, Issue 11
Superfluid Helium in Three-Dimensional Counterflow Differs Strongly from Classical Flows: Anisotropy on Small Scales
journal, April 2019
- Biferale, L.; Khomenko, D.; L’vov, V.
- Physical Review Letters, Vol. 122, Issue 14
Influence of Normal Fluid Disturbances on Interactions of Solid Particles with Quantized Vortices
journal, January 2007
- Sergeev, Y. A.; Wang, S.; Meneguz, E.
- Journal of Low Temperature Physics, Vol. 146, Issue 3-4
Local normal-fluid helium II flow due to mutual friction interaction with the superfluid
journal, August 2000
- Idowu, Olusola C.; Willis, Ashley; Barenghi, Carlo F.
- Physical Review B, Vol. 62, Issue 5