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.
|Numero di pagine||20|
|Rivista||Communications in Applied and Industrial Mathematics|
|Stato di pubblicazione||Published - 2016|
All Science Journal Classification (ASJC) codes
- Industrial and Manufacturing Engineering
- Applied Mathematics