DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Characterizing vortex tangle properties in steady-state He II counterflow using particle tracking velocimetry

Journal Article · · Physical Review Fluids
 [1];  [2]
  1. Florida State Univ., Tallahassee, FL (United States); Florida State University, National High Magnetic Field Laboratory
  2. Florida State Univ., Tallahassee, FL (United States)

Historically, there has been little faith in particle tracking velocimetry (PTV) as a tool to make quantitative measurements of thermal counterflow in He II, since tracer particle motion is complicated by influences from the normal fluid, superfluid, and quantized vortex lines, or a combination thereof. Recently, we introduced a scheme for differentiating particles trapped on vortices (G1) from particles entrained by the normal fluid (G2). In this paper, we apply this scheme to demonstrate the utility of PTV for quantitative measurements of vortex dynamics in He II counterflow.We estimate Ι, the mean vortex line spacing, using G2 velocity data, and c2, a parameter related to the mean curvature radius of vortices and energy dissipation in quantum turbulence, using G1 velocity data. We find that both estimations show good agreement with existing measurements that were obtained using traditional experimental methods. This is of particular consequence since these parameters likely vary in space, and PTV offers the advantage of spatial resolution. Furthermore, we also show a direct link between power-law tails in transverse particle velocity probability density functions (PDFs) and reconnection of vortex lines on which G1 particles are trapped.

Research Organization:
Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab.
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
FG02-96ER40952
OSTI ID:
1493665
Alternate ID(s):
OSTI ID: 1493852
Journal Information:
Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 2 Vol. 4; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (44)

Vortex Velocity in Turbulent He II Counterflow journal December 1975
Quantum turbulence journal April 2006
Visualization of two-fluid flows of superfluid helium-4 journal March 2014
Quantum Turbulence: Aspects of Visualization and Homogeneous Turbulence journal October 2013
Particles-Vortex Interactions and Flow Visualization in 4He journal October 2009
Theory of the Superfluidity of Helium II journal August 1941
Quantum turbulence journal May 2003
Visualization Technique for Determining the Structure Functions of Normal-Fluid Turbulence in Superfluid Helium-4 journal September 2012
Quantum turbulence visualized by particle dynamics journal July 2014
An apparatus for generation and quantitative measurement of homogeneous isotropic turbulence in He ii journal January 2018
Properties of Superfluid Turbulence in a Large Channel journal October 1984
Nonclassical Velocity Statistics in a Turbulent Atomic Bose-Einstein Condensate journal February 2010
Transport Phenomena in Helium II journal May 1938
Route to vortex reconnection journal January 1994
Energy spectrum of thermal counterflow turbulence in superfluid helium-4 journal September 2017
Interactions between particles and quantized vortices in superfluid helium journal January 2008
Close Approach of a Spherical Particle and a Quantised Vortex in Helium II journal May 2007
Visualization of the normal-fluid turbulence in counterflowing superfluid He 4 journal March 2015
Feature point tracking and trajectory analysis for video imaging in cell biology journal August 2005
Producing and imaging a thin line of He2∗ molecular tracers in helium-4 journal September 2015
Motion of micron-size particles in turbulent helium II journal November 2006
A study of thermal counterflow using particle tracking velocimetry journal October 2011
Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence text January 2008
Dissipation in quantum turbulence in superfluid He 4 above 1 K journal May 2018
Velocity distributions of tracer particles in thermal counterflow in superfluid 4 He journal May 2013
Visualization of quantized vortices journal May 2006
Lévy stable distributions for velocity and velocity difference in systems of vortex elements journal May 1996
Developed quantum turbulence and its decaya) journal January 2012
Anisotropy and drift of a vortex tangle in helium II journal October 1987
Mutual friction in a heat current in liquid helium II III. Theory of the mutual friction journal November 1957
Visualization of Superfluid Helium Flow journal November 2008
Quantum, or classical turbulence? journal February 2014
Quantum Turbulence journal March 2011
Characterization of reconnecting vortices in superfluid helium journal September 2008
Exploration of thermal counterflow in He II using particle tracking velocimetry journal June 2018
Normal-fluid velocity measurement and superfluid vortex detection in thermal counterflow turbulence journal December 2008
Dynamics of the density of quantized vortex lines in counterflow turbulence: Experimental investigation journal February 2018
Three-dimensional vortex dynamics in superfluid He 4 : Homogeneous superfluid turbulence journal August 1988
Characterization of reconnecting vortices in superfluid helium text January 2008
Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence journal October 2008
Radii of Positive and Negative Ions in Helium II journal January 1966
Quantum Turbulence journal January 2002
Quantum turbulence journal December 1986
Motion of a spherical solid particle in thermal counterflow turbulence journal May 2008