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Title: Particle tracking velocimetry applied to thermal counterflow in superfluid He 4 : Motion of the normal fluid at small heat fluxes

Journal Article · · Physical Review Fluids
 [1];  [1]; ORCiD logo [1];  [2]
  1. National High Magnetic Field Lab., Tallahassee, FL (United States); Florida State Univ., Tallahassee, FL (United States)
  2. Univ. of Birmingham, Birmingham (United Kingdom)

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.

Research Organization:
National High Magnetic Field Lab., Tallahassee, FL (United States); Florida State Univ., Tallahassee, FL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Organization:
Dr. W.F. Vinen from University of Birmingham
Grant/Contract Number:
SC0020113
OSTI ID:
1558801
Alternate ID(s):
OSTI ID: 1559073
Report Number(s):
DOE-FSU-20113; TRN: US2000252
Journal Information:
Physical Review Fluids, Vol. 4, Issue 8; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (15)

Visualization of the normal-fluid turbulence in counterflowing superfluid He 4 journal March 2015
Triple Vortex Ring Structure in Superfluid Helium II journal October 2000
Steady-state counterflow quantum turbulence: Simulation of vortex filaments using the full Biot-Savart law journal March 2010
Three-Dimensional Coupled Dynamics of the Two-Fluid Model in Superfluid He 4 : Deformed Velocity Profile of Normal Fluid in Thermal Counterflow journal April 2018
Motion of tracer particles in He II journal February 2005
Vortex spectrum in superfluid turbulence: Interpretation of a recent experiment journal January 2008
Dissipation in quantum turbulence in superfluid He 4 above 1 K journal May 2018
The Observed Properties of Liquid Helium at the Saturated Vapor Pressure journal November 1998
Vortex density spectrum of quantum turbulence journal February 2007
Energy spectrum of thermal counterflow turbulence in superfluid helium-4 journal September 2017
Exploration of thermal counterflow in He II using particle tracking velocimetry journal June 2018
Vortex line density in counterflowing He II with laminar and turbulent normal fluid velocity profiles journal November 2013
Superfluid Helium in Three-Dimensional Counterflow Differs Strongly from Classical Flows: Anisotropy on Small Scales journal April 2019
Influence of Normal Fluid Disturbances on Interactions of Solid Particles with Quantized Vortices journal January 2007
Local normal-fluid helium II flow due to mutual friction interaction with the superfluid journal August 2000

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