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

Mastracci, Brian; Guo, Wei

doi:10.1103/PhysRevFluids.4.023301

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

Abstract

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.

Authors:

Mastracci, Brian ^[1]; Guo, Wei ^[1]

Florida State Univ., Tallahassee, FL (United States)

Publication Date:: 2019-02-07

Research Org.:: Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab.

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1493665

Alternate Identifier(s):: OSTI ID: 1493852

Grant/Contract Number:: FG02-96ER40952

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Fluids

Additional Journal Information:: Journal Volume: 4; Journal Issue: 2; 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; Turbulence; Vortices; Superfluid Helium-4; Flow Visualization

Citation Formats


                    Mastracci, Brian, and Guo, Wei. Characterizing vortex tangle properties in steady-state He II counterflow using particle tracking velocimetry.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevFluids.4.023301.

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                    Mastracci, Brian, & Guo, Wei. Characterizing vortex tangle properties in steady-state He II counterflow using particle tracking velocimetry.  United States.  https://doi.org/10.1103/PhysRevFluids.4.023301

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                    Mastracci, Brian, and Guo, Wei. Thu .  
"Characterizing vortex tangle properties in steady-state He II counterflow using particle tracking velocimetry".  United States.  https://doi.org/10.1103/PhysRevFluids.4.023301.  https://www.osti.gov/servlets/purl/1493665.

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@article{osti_1493665,

  title        = {Characterizing vortex tangle properties in steady-state He II counterflow using particle tracking velocimetry},

  author       = {Mastracci, Brian and Guo, Wei},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevFluids.4.023301},

  journal      = {Physical Review Fluids},

  number       = 2,

  volume       = 4,

  place        = {United States},

  year         = {2019},

  month        = {2}

}

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

Abstract

Citation Formats

Anisotropy and drift of a vortex tangle in helium II journal, October 1987

Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence journal, October 2008

Route to vortex reconnection journal, January 1994

Developed quantum turbulence and its decaya) journal, January 2012

Interactions between particles and quantized vortices in superfluid helium journal, January 2008

Producing and imaging a thin line of He2∗ molecular tracers in helium-4 journal, September 2015

Feature point tracking and trajectory analysis for video imaging in cell biology journal, August 2005

Particles-Vortex Interactions and Flow Visualization in 4He journal, October 2009

Lévy stable distributions for velocity and velocity difference in systems of vortex elements journal, May 1996

A study of thermal counterflow using particle tracking velocimetry journal, October 2011

Exploration of thermal counterflow in He II using particle tracking velocimetry journal, June 2018

Energy spectrum of thermal counterflow turbulence in superfluid helium-4 journal, September 2017

Transport Phenomena in Helium II journal, May 1938

Visualization of Superfluid Helium Flow journal, November 2008

Dynamics of the density of quantized vortex lines in counterflow turbulence: Experimental investigation journal, February 2018

Radii of Positive and Negative Ions in Helium II journal, January 1966

Quantum, or classical turbulence? journal, February 2014

Three-dimensional vortex dynamics in superfluid He 4 : Homogeneous superfluid turbulence journal, August 1988

Visualization of the normal-fluid turbulence in counterflowing superfluid He 4 journal, March 2015

Visualization of two-fluid flows of superfluid helium-4 journal, March 2014

Vortex Velocity in Turbulent He II Counterflow journal, December 1975

Motion of micron-size particles in turbulent helium II journal, November 2006

Visualization of quantized vortices journal, May 2006

An apparatus for generation and quantitative measurement of homogeneous isotropic turbulence in He ii journal, January 2018

Nonclassical Velocity Statistics in a Turbulent Atomic Bose-Einstein Condensate journal, February 2010

Characterization of reconnecting vortices in superfluid helium journal, September 2008

Theory of the Superfluidity of Helium II journal, August 1941

Dissipation in quantum turbulence in superfluid He 4 above 1 K journal, May 2018

Close Approach of a Spherical Particle and a Quantised Vortex in Helium II journal, May 2007

Quantum Turbulence journal, March 2011

Motion of a spherical solid particle in thermal counterflow turbulence journal, May 2008

Normal-fluid velocity measurement and superfluid vortex detection in thermal counterflow turbulence journal, December 2008

Visualization Technique for Determining the Structure Functions of Normal-Fluid Turbulence in Superfluid Helium-4 journal, September 2012

Properties of Superfluid Turbulence in a Large Channel journal, October 1984

Quantum Turbulence: Aspects of Visualization and Homogeneous Turbulence journal, October 2013

Velocity distributions of tracer particles in thermal counterflow in superfluid 4 He journal, May 2013

Quantum turbulence journal, December 1986

Quantum turbulence journal, May 2003

Quantum turbulence journal, April 2006

Characterization of reconnecting vortices in superfluid helium text, January 2008

Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence text, January 2008

Anisotropy and drift of a vortex tangle in helium II
journal, October 1987

Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
journal, October 2008

Route to vortex reconnection
journal, January 1994

Developed quantum turbulence and its decaya)
journal, January 2012

Interactions between particles and quantized vortices in superfluid helium
journal, January 2008

Producing and imaging a thin line of He2∗ molecular tracers in helium-4
journal, September 2015

Feature point tracking and trajectory analysis for video imaging in cell biology
journal, August 2005

Particles-Vortex Interactions and Flow Visualization in 4He
journal, October 2009

Lévy stable distributions for velocity and velocity difference in systems of vortex elements
journal, May 1996

A study of thermal counterflow using particle tracking velocimetry
journal, October 2011

Exploration of thermal counterflow in He II using particle tracking velocimetry
journal, June 2018

Energy spectrum of thermal counterflow turbulence in superfluid helium-4
journal, September 2017

Transport Phenomena in Helium II
journal, May 1938

Visualization of Superfluid Helium Flow
journal, November 2008

Dynamics of the density of quantized vortex lines in counterflow turbulence: Experimental investigation
journal, February 2018

Radii of Positive and Negative Ions in Helium II
journal, January 1966

Quantum, or classical turbulence?
journal, February 2014

Three-dimensional vortex dynamics in superfluid ${}^{4}{He}$ : Homogeneous superfluid turbulence
journal, August 1988

Visualization of the normal-fluid turbulence in counterflowing superfluid ${}^{4}{He}$
journal, March 2015

Visualization of two-fluid flows of superfluid helium-4
journal, March 2014

Vortex Velocity in Turbulent He II Counterflow
journal, December 1975

Motion of micron-size particles in turbulent helium II
journal, November 2006

Visualization of quantized vortices
journal, May 2006

An apparatus for generation and quantitative measurement of homogeneous isotropic turbulence in He ii
journal, January 2018

Nonclassical Velocity Statistics in a Turbulent Atomic Bose-Einstein Condensate
journal, February 2010

Characterization of reconnecting vortices in superfluid helium
journal, September 2008

Theory of the Superfluidity of Helium II
journal, August 1941

Dissipation in quantum turbulence in superfluid ${}^{4}{He}$ above 1 K
journal, May 2018

Close Approach of a Spherical Particle and a Quantised Vortex in Helium II
journal, May 2007

Quantum Turbulence
journal, March 2011

Motion of a spherical solid particle in thermal counterflow turbulence
journal, May 2008

Normal-fluid velocity measurement and superfluid vortex detection in thermal counterflow turbulence
journal, December 2008

Visualization Technique for Determining the Structure Functions of Normal-Fluid Turbulence in Superfluid Helium-4
journal, September 2012

Properties of Superfluid Turbulence in a Large Channel
journal, October 1984

Quantum Turbulence: Aspects of Visualization and Homogeneous Turbulence
journal, October 2013

Velocity distributions of tracer particles in thermal counterflow in superfluid $^{4}$ He
journal, May 2013

Quantum turbulence
journal, December 1986

Quantum turbulence
journal, May 2003

Quantum turbulence
journal, April 2006

Characterization of reconnecting vortices in superfluid helium
text, January 2008

Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
text, January 2008