### Abstract

Turbulence in helium II takes the form of a disordered tangle of quantised vortex line. The existing equation of vortex dynamics used by Schwarz and others to model the evolution of the vortex tangle does not distinguish between the large scale normal fluid velocity and the local variation of the normal fluid velocity introduced by the presence of quantised vortex lines. We derive a new vortex dynamics equation which allows the local normal fluid velocity to be determined by a modified Navier-Stokes equation. Together, the two equations form a self-consistent model to determine the coupled evolution of the normal fluid and quantised vortices.

Language | English |
---|---|

Pages | 269-280 |

Number of pages | 12 |

Journal | Journal of Low Temperature Physics |

Volume | 120 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 1 Aug 2000 |

### Fingerprint

### Keywords

- helium II
- vortex dynamics
- Navier Stokes equations
- superfluid turbulence
- fluid velocity

### Cite this

*Journal of Low Temperature Physics*,

*120*(3-4), 269-280. https://doi.org/10.1023/A:1004641912850

}

*Journal of Low Temperature Physics*, vol. 120, no. 3-4, pp. 269-280. https://doi.org/10.1023/A:1004641912850

**Equation for self-consistent superfluid vortex line dynamics.** / Idowu, O. C.; Kivotides, D.; Barenghi, C. F.; Samuels, D. C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Equation for self-consistent superfluid vortex line dynamics

AU - Idowu, O. C.

AU - Kivotides, D.

AU - Barenghi, C. F.

AU - Samuels, D. C.

PY - 2000/8/1

Y1 - 2000/8/1

N2 - Turbulence in helium II takes the form of a disordered tangle of quantised vortex line. The existing equation of vortex dynamics used by Schwarz and others to model the evolution of the vortex tangle does not distinguish between the large scale normal fluid velocity and the local variation of the normal fluid velocity introduced by the presence of quantised vortex lines. We derive a new vortex dynamics equation which allows the local normal fluid velocity to be determined by a modified Navier-Stokes equation. Together, the two equations form a self-consistent model to determine the coupled evolution of the normal fluid and quantised vortices.

AB - Turbulence in helium II takes the form of a disordered tangle of quantised vortex line. The existing equation of vortex dynamics used by Schwarz and others to model the evolution of the vortex tangle does not distinguish between the large scale normal fluid velocity and the local variation of the normal fluid velocity introduced by the presence of quantised vortex lines. We derive a new vortex dynamics equation which allows the local normal fluid velocity to be determined by a modified Navier-Stokes equation. Together, the two equations form a self-consistent model to determine the coupled evolution of the normal fluid and quantised vortices.

KW - helium II

KW - vortex dynamics

KW - Navier Stokes equations

KW - superfluid turbulence

KW - fluid velocity

UR - http://www.scopus.com/inward/record.url?scp=0034240734&partnerID=8YFLogxK

U2 - 10.1023/A:1004641912850

DO - 10.1023/A:1004641912850

M3 - Article

VL - 120

SP - 269

EP - 280

JO - Journal of Low Temperature Physics

T2 - Journal of Low Temperature Physics

JF - Journal of Low Temperature Physics

SN - 0022-2291

IS - 3-4

ER -