<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we extend previous results on the effective thermal conductivity of liquid helium II in cylindrical channels to rectangular channels with high aspect ratio. The aim is to compare the results in the laminar regime, the turbulent regime and the ballistic regime, all of them obtained within a single mesoscopic formalism of heat transport, with heat flux as an independent variable.</p></abstract>

In this paper we extend previous results on the effective thermal conductivity of liquid helium II in cylindrical channels to rectangular channels with high aspect ratio. The aim is to compare the results in the laminar regime, the turbulent regime and the ballistic regime, all of them obtained within a single mesoscopic formalism of heat transport, with heat flux as an independent variable.

Effective thermal conductivity of superfluid helium: laminar, turbulent and ballistic regimes

Dipartimento di Scienze Agrarie e Forestali, Università degli Studi di Palermo, Palermo, Italy

School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, UK

Communications in Applied and Industrial Mathematics

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

In this paper we extend previous results on the effective thermal conductivity of liquid helium II in cylindrical channels to rectangular channels with high...

Effective thermal conductivity of superfluid helium: laminar, turbulent and ballistic regimes

Published Online: May 20, 2016

Page range: 111 - 129

Received: Dec 31, 2014

Accepted: Aug 04, 2015

DOI: https://doi.org/10.1515/caim-2016-0009

Keywords
Thermal conductivity, Liquid helium, Quantum turbulence, Quantized vortices

© 2016 Michele Sciacca et al., published by De Gruyter Open

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

Effective thermal conductivity of superfluid helium: laminar, turbulent and ballistic regimes

Published Online: May 20, 2016

Page range: 111 - 129

Received: Dec 31, 2014

Accepted: Aug 04, 2015

DOI: https://doi.org/10.1515/caim-2016-0009

KeywordsThermal conductivity, Liquid helium, Quantum turbulence, Quantized vortices

© 2016 Michele Sciacca et al., published by De Gruyter Open

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

Keywords
Thermal conductivity, Liquid helium, Quantum turbulence, Quantized vortices