Superfluid diffusion equation S(T)((partial derivative)T/(partial derivative)t) = (nabla)(center dot)(K(T)((nabla)T)(sup 1/3)).

摘要

This report deals with the superfluid diffusion equation, S(T)((partial derivative)T/(partial derivative)t) = (nabla)(center dot)(K(T)((nabla)T)(sup 1/3)), which describes heat transport in turbulent helium-II (superfluid helium). Three methods of solution -- the method of similarity, the variational method, and the method of maximum/minimum principles -- are applied to this equation. The solutions discovered are helpful in addressing the use of helium-II in superconducting magnets and other applications. 22 refs., 23 figs., 3 tabs.