Transient heat transport in superfluid helium in cylindrical geometry

Heat transport in cylindrical space from a round superconductor immersed in a finite bath of superfluid has bean analyzed both numerically and analytically. The computer and closed analytical results are essentially the same. Analytical equations are given for the temperature of the helium bath as a function of radius, time, and heat flux from the conductor and for the time to reach the superfluid to normal helium transition temperature at the conductor as a function of heat flux.