Numerical Investigation of Second Sound in Liquid Helium
Abstract
At temperatures below 2.17 K, the phenomenon of thermal waves has been observed
in liquid Helium. This paper describes the reproduction of these waves, called
"Second Sound," by means of simulation. Two different models for the
heat transport in Helium are tried. First the classical heat diffusion equation
is used with temperature dependent thermal parameters. The second model for
heat transport is based on the more complex Two Fluid Model which was introduced
for Helium close to the absolute zero point of temperature. Simulations with
various initial and boundary conditions show that the first model is not
sufficient to describe heat transport in Helium, whereas the second model gives
satisfactory results.
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Last modified: February 13, 2006 -- © François Cellier