Quantized Vortex Dynamics and Superfluid Turbulence

1. Front Matter

   Pages I-XVIII

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2. Introduction

   1. Introduction to Superfluid Vortices and Turbulence

      • Carlo F. Barenghi

      Pages 3-14

3. Turbulence Experiments

   1. An Introduction to Experiments on Superfluid Turbulence

      • Russell J. Donnelly

      Pages 17-35

   2. The Experimental Evidence for Vortex Nucleation in 4He

      • Éric Varoquaux, Olivier Avenel, Yury Mukharsky, Pertti Hakonen

      Pages 36-50

   3. Applications of Superfluid Helium in Large-Scale Superconducting Systems

      • Steven W. Van Sciver

      Pages 51-65

   4. The Temperature Dependent Drag Crisis on a Sphere in Flowing Helium II

      • Yeon Suk Choi, Michael R. Smith, Steven W. Van Sciver

      Pages 66-72

   5. Experiments on Quantized Turbulence at mK Temperatures

      • S. I. Davis, P. C. Hendry, P. V. E. McClintock, H. Nichol

      Pages 73-79

   6. Grid-Generated He II Turbulence in a Finite Channel - Experiment

      • J.J. Niemela, L. Skrbek, S.R. Stalp

      Pages 80-86

   7. Intermittent Switching Between Turbulent and Potential Flow Around a Sphere in He II at mK Temperatures

      • Michael Niemetz, Hubert Kerscher, Wilfried Schoepe

      Pages 87-94

4. Vortex Dynamics

   1. Vortex Filament Methods for Superfluids

      • David C. Samuels

      Pages 97-113

   2. Introduction to HVBK Dynamics

      • Darryl D. Holm

      Pages 114-130

   3. Magnus Force, Aharonov-Bohm Effect, and Berry Phase in Superfluids

      • Edouard Sonin

      Pages 131-137

   4. Using the HVBK Model to Investigate the Couette Flow of Helium II

      • Karen L. Henderson

      Pages 138-145

5. Turbulence Theory

   1. An Introduction to the Theory of Superfluid Turbulence

      • W. F. Vinen

      Pages 149-161

   2. Numerical Methods for Coupled Normal-Fluid and Superfluid Flows in Helium II

      • Olusola C. Idowu, Demosthenes Kivotides, Carlo F. Barenghi, David C. Samuels

      Pages 162-176

   3. From Vortex Reconnections to Quantum Turbulence

      • Tomasz Lipniacki

      Pages 177-183

   4. Vortices and Stability in Superfluid Boundary Layers

      • Simon P. Godfrey, David C. Samuels, Carlo F. Barenghi

      Pages 184-190

   5. Grid Generated He II Turbulence in a Finite Channel—Theoretical Interpretation

      • L. Skrbek, J.J. Niemela

      Pages 191-197

   6. Vortex Tangle Dynamics Without Mutual Friction in Superfluid 4He

      • Makoto Tsubota, Tsunehiko Araki, Sergey K. Nemirovskii

      Pages 198-204

   7. Applications of the Gaussian Model of the Vortex Tangle in the Superfluid Turbulent He II

      • Sergey K. Nemirovskii, Mikhail V. Nedoboiko

      Pages 205-211

This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.

• Dissipation
• Phase
• Potential
• metastable
• nonlinear dynamics
• quantum vortex
• rotating fluids
• superconductivity
• superfluidity
• turbulence
• fluid- and aerodynamics

• Mathematics Department, University of Newcastle, Newcastle, UK

  C. F. Barenghi

• Physics Department, University of Oregon, Eugene, USA

  R. J. Donnelly

• Physics Department, University of Birmingham, Birmingham, UK

  W. F. Vinen

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