Effective thermal conductivity of superfluid helium in short channels

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    Abstract

    The aim of this paper is to explore how the effective thermal conductivityof small channels filled with superfluid helium II in the laminar regime separates from the classical Landau expression as the channel becomes shorter. The Landau expression is valid for fully developed Poiseuille flow for the normal component, and therefore is suitable for long channels. By taking into accountentrance effects, we show a transition from a heat flux proportional to ∆T /l(Landau regime) for long channels, to a heat flux proportional to l^(1/3) (∆T /l)^(2/3) for short channels.
    Lingua originaleEnglish
    Titolo della pubblicazione ospiteBollettino di Matematica pura e applicata
    Pagine153-163
    Numero di pagine11
    Stato di pubblicazionePublished - 2014

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