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

Communications in Applied and Industrial Mathematics's Cover Image
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
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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.

eISSN:
2038-0909
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, Numerical and Computational Mathematics, Applied Mathematics