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Heat Transfer in Superfluids Effect of Gravity
4
0
0
2
Heat Transfer in Superfluids: Effect of Gravity
y
a
M L.A.Melnikovsky∗
9
1
] Abstract
t
f We discuss the influence of an external field on energy transport in
o superfluid. He-II is not isothermal in presence of Earth gravity; instead,
s
. it supports finite temperature gradient given by a Fourier-like equation.
t
a We calculate asymptotic behavior of the effective heat resistance in the
m vicinity of the λ-transition.
-
d
n 1 INTRODUCTION
o
c Superfluid is known to be (and it was originally referred to as) a super-heat-
[
conductor. The heat in superfluid is transfered by the normal flow. This is
1 fundamentally different [1] from the Fourier law thermal conduction in ordinary
v liquids. Instead, it has a nature of convection. In uniform superfluid the flow
0
5 (and the heat transfer) is dissipationless, i.e., it happens at constant tempera-
4 ture.
5 Experimentally observed dissipation in bulk uniform superfluid (i.e., when
0 the friction with walls is neglected) is believed to be due to the vortex creation.
4 This scenario leads to the temperature gradients with complicated nonlinear
0 dependence on the supported heat flux. We show that gravity can also explain
/
t this dissipation.
a
m Earth gravity, like any external field,
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