Inhomogeneous vortex tangles in counterflow superfluid turbulence: flow in convergent channels

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Abstract

We investigate the evolution equation for the average vortex length per unit volumeL of superfluid turbulence in inhomogeneous flows. Inhomogeneities in line density Land in counterflow velocity V may contribute to vortex diffusion, vortex formation andvortex destruction. We explore two different families of contributions: those arising froma second order expansion of the Vinen equation itself, and those which are not relatedto the original Vinen equation but must be stated by adding to it second-order termsobtained from dimensional analysis or other physical arguments.
Lingua originaleEnglish
pagine (da-a)130-149
Numero di pagine20
RivistaCommunications in Applied and Industrial Mathematics
Volume7
Stato di pubblicazionePublished - 2016

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All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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