<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

Online veröffentlicht: 20. Mai 2016

Seitenbereich: 111 - 129

Eingereicht: 31. Dez. 2014

Akzeptiert: 04. Aug. 2015

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

Schlüsselwörter
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

Online veröffentlicht: 20. Mai 2016

Seitenbereich: 111 - 129

Eingereicht: 31. Dez. 2014

Akzeptiert: 04. Aug. 2015

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

SchlüsselwörterThermal 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.

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