He II Heat Transport in Cylindrical Geometry

Abstract

Temperature difference measurements are presented for two different sized radius cylindrical heaters, r = 1.6 and 4.8 mm, and at different radial positions in the fluid adjacent to the heater. Previous measurements of the peak heat flux in cylindrical geometry are found to be smaller than the value predicted from Gorter-Mellink mutual friction theory when generalized to the cylindrical coordinate system; and this deviation increases systematically as the radius of the cylindrical heater is decreased. Our measurements are compared to the theory for linear heat transport generalized to the cylindrical geometry and are found to be lower in magnitude although, functionally, the radial dependence is given correctly. The deviations appear to scale with heater radius but in a sense that is opposite to the behavior observed for the peak heat flux measurements.