<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We investigate the evolution equation for the average vortex length per unit volume <italic>L</italic> of superfluid turbulence in inhomogeneous flows. Inhomogeneities in line density <italic>L</italic> andincounterflowvelocity <bold>V</bold> 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.</p></abstract>

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.

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

Dipartimento di Energia, Ingegneria dell’Informazione e Modelli Matematici (DEIM), Università degli Studi di Palermo, Palermo, Italy

Dipartimento di Ingegneria Chimica, Gestionale, Informatica, Meccanica (DICGIM), Università degli Studi di Palermo, Palermo, Italy

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We investigate the evolution equation for the average vortex length per unit volume L of superfluid turbulence in inhomogeneous flows. Inhomogeneities in line...

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

Publié en ligne: 20 mai 2016

Pages: 130 - 149

Reçu: 31 déc. 2014

Accepté: 17 juin 2015

DOI: https://doi.org/10.1515/caim-2016-0010

Mots clés
Quantum turbulence, quantized vortices, heat transfer, inhomogeneous vortex tangle, vortex diffusion

© 2016 Lidia Saluto et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Publié en ligne: 20 mai 2016

Pages: 130 - 149

Reçu: 31 déc. 2014

Accepté: 17 juin 2015

DOI: https://doi.org/10.1515/caim-2016-0010

Mots clésQuantum turbulence, quantized vortices, heat transfer, inhomogeneous vortex tangle, vortex diffusion

© 2016 Lidia Saluto et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Quantum turbulence, quantized vortices, heat transfer, inhomogeneous vortex tangle, vortex diffusion