Effective thermal conductivity of superfluid helium: laminar, turbulent and ballistic regimes
and | May 20, 2016
Communications in Applied and Industrial Mathematics
Special Issue on Constitutive Equations for Heat Conduction in Nanosystems and Non-equilibrium Processes. Guest Editors: Vito Antonio Cimmelli and David Jou
About this article
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
© 2016 Michele Sciacca et al., published by De Gruyter Open
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 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.