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

• Main Authors: Saluto Lidia, Mongioví Maria Stella
• Format: Article
• Language: English
• Published: Sciendo 2016-06-01
• Series: Communications in Applied and Industrial Mathematics
• Subjects: quantum turbulence; quantized vortices; heat transfer; inhomogeneous vortex tangle; vortex diffusion
• Online Access: https://doi.org/10.1515/caim-2016-0010

We investigate the evolution equation for the average vortex length per unit volume L of superfluid turbulence in inhomogeneous flows. Inhomogeneities in line density L andincounterflowvelocity V may contribute to vortex diffusion, vortex formation and vortex destruction. We explore two different families of contributions: those arising from asecondorder expansionofthe Vinenequationitself, andthose whichare notrelated to the original Vinen equation but must be stated by adding to it second-order terms obtained from dimensional analysis or other physical arguments.