skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Statistical properties of homogeneous and isotropic turbulence in He II measured via particle tracking velocimetry

Journal Article · · Physical Review Fluids

Despite being a quantum two-fluid system, superfluid helium-4 (He II) is observed to behave similarly to classical fluids when a flow is generated by mechanical forcing. This similarity has brought up the feasibility of utilizing He II for high Reynolds number classical turbulence research, considering the small kinematic viscosity of He II. However, it has been suggested that the nonclassical dissipation mechanism in He II at small scales may alter its turbulent statistics and intermittency. In this work, we report our study of a nearly homogeneous and isotropic turbulence (HIT) generated by a towed grid in He II. We measure the velocity field using particle tracking velocimetry with solidified deuterium particles as the tracers. By correlating the velocities measured simultaneously on different particle trajectories or at different times along the same particle trajectory, we are able to conduct both Eulerian and Lagrangian flow analyses. Spatial velocity structure functions obtained through the Eulerian analysis show scaling behaviors in the inertial subrange similar to that for classical HIT but with enhanced intermittency. The Lagrangian analysis allows us to examine the flow statistics down to below the dissipation length scale. Interestingly, abnormal deviations from the classical scaling behaviors are observed in this regime. Lastly, we discuss how these deviations may relate to the motion of quantized vortices in the superfluid component in He II.

Research Organization:
Florida State Univ., Tallahassee, FL (United States); National High Magnetic Field Laboratory, Tallahassee, FL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
Grant/Contract Number:
SC0020113; DMR-180729; DMR-1644779
OSTI ID:
1646619
Journal Information:
Physical Review Fluids, Vol. 5, Issue 8; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

References (47)

Study of Particle Motion in He II Counterflow Across a Wide Heat Flux Range journal January 2017
A First Course in Turbulence January 1972
On the decay of homogeneous isotropic turbulence journal August 2000
Developed quantum turbulence and its decaya) journal January 2012
Accurate estimate of turbulent dissipation rate using PIV data journal January 2013
Producing and imaging a thin line of He2∗ molecular tracers in helium-4 journal September 2015
Investigation of intermittency in superfluid turbulence journal December 2011
Structure functions in turbulence, in various flow configurations, at Reynolds number between 30 and 5000, using extended self-similarity journal May 1996
Exploration of thermal counterflow in He II using particle tracking velocimetry journal June 2018
Superfluid vortex lines in a model of turbulent flow journal September 1997
Note on secondary flows in oscillating‐grid, mixing‐box experiments journal July 1993
Statistics of turbulence and intermittency enhancement in superfluid He 4 counterflow journal November 2018
Visualization of the normal-fluid turbulence in counterflowing superfluid He 4 journal March 2015
The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers journal July 1991
Characterizing vortex tangle properties in steady-state He II counterflow using particle tracking velocimetry journal February 2019
Intermittency in fully developed turbulence: Log-Poisson statistics and generalized scale covariance journal August 1994
Molecular Tagging Velocimetry in Superfluid Helium-4: Progress, Issues, and Future Development journal December 2018
Scaling functions and scaling exponents in turbulence journal November 1993
Visualization of quantized vortices journal May 2006
An apparatus for generation and quantitative measurement of homogeneous isotropic turbulence in He ii journal January 2018
Intermittency of quantum turbulence with superfluid fractions from 0% to 96% journal October 2017
Extended Self-Similarity in the Dissipation Range of Fully Developed Turbulence journal November 1993
Dissipation in quantum turbulence in superfluid He 4 above 1 K journal May 2018
Statistical Measurement of Counterflow Turbulence in Superfluid Helium-4 Using $$\hbox {He}_2^*$$ He 2 ∗ Tracer-Line Tracking Technique journal October 2016
Extended self-similarity in turbulent flows journal July 1993
The Use of Cryogenic Helium for Classical Turbulence: Promises and Hurdles journal October 2006
The use of a contraction to improve the isotropy of grid-generated turbulence journal August 1966
Interactions between particles and quantized vortices in superfluid helium journal January 2008
Decay of counterflow turbulence in superfluid 4He journal May 2016
Decay of Grid Turbulence in a Finite Channel journal June 1999
Feature point tracking and trajectory analysis for video imaging in cell biology journal August 2005
The Observed Properties of Liquid Helium at the Saturated Vapor Pressure journal November 1998
Classical character of turbulence in a quantum liquid journal January 2000
Energy spectrum of thermal counterflow turbulence in superfluid helium-4 journal September 2017
Local investigation of superfluid turbulence journal July 1998
Sub-micron solid air tracers for quantum vortices and liquid helium flows journal February 2016
Local normal-fluid helium II flow due to mutual friction interaction with the superfluid journal August 2000
Enhancement of Intermittency in Superfluid Turbulence journal January 2013
Intermittency enhancement in quantum turbulence in superfluid He 4 journal September 2018
Scaling of structure functions journal July 1993
Fully Coupled Two-Fluid Dynamics in Superfluid He 4 : Anomalous Anisotropic Velocity Fluctuations in Counterflow journal April 2020
Large-scale turbulent flow around a cylinder in counterflow superfluid4He (He (II)) journal September 2005
On the scaling of three-dimensional homogeneous and isotropic turbulence journal February 1995
Particle tracking velocimetry applied to thermal counterflow in superfluid He 4 : Motion of the normal fluid at small heat fluxes journal August 2019
Motion of a spherical solid particle in thermal counterflow turbulence journal May 2008
Decay of Turbulence at High Reynolds Numbers journal January 2015
Universal scaling laws in fully developed turbulence journal January 1994

Similar Records

Exploration of thermal counterflow in He II using particle tracking velocimetry
Journal Article · Fri Jun 22 00:00:00 EDT 2018 · Physical Review Fluids (Online) · OSTI ID:1646619

Eulerian and Lagrangian second-order statistics of superfluid 4He grid turbulence
Journal Article · Thu Apr 08 00:00:00 EDT 2021 · Physical Review. B · OSTI ID:1646619

Superdiffusion of quantized vortices uncovering scaling laws in quantum turbulence
Journal Article · Tue Feb 09 00:00:00 EST 2021 · Proceedings of the National Academy of Sciences of the United States of America · OSTI ID:1646619