Heat Transfer in Superfluids: Effect of Gravity

TL;DR

This paper investigates how gravity affects heat transfer in superfluid helium, showing that gravity induces a temperature gradient and analyzing the asymptotic behavior of heat resistance near the transition point.

Contribution

It provides a theoretical analysis of gravity's impact on energy transport in superfluid helium, including the derivation of a Fourier-like equation for temperature gradients.

Findings

Gravity causes non-isothermal conditions in superfluid helium.

Finite temperature gradients are supported by He-II under gravity.

Asymptotic behavior of heat resistance near the λ-transition is characterized.

Abstract

We discuss the influence of an external field on energy transport in superfluid. He-II is not isothermal in presence of Earth gravity; instead, it supports finite temperature gradient given by a Fourier-like equation. We calculate asymptotic behavior of the effective heat resistance in the vicinity of the $\lambda$-transition.