Abstract

We have measured the temperature drop as a function of heat current and position in a weakly divergent rectangular thermal counterflow channel. The data from laminar flow agree with a calculation using the viscous force in a uniform channel applied locally. When superfluid turbulence is present the situation is more complex. A calculation using the Schwarz theory for homogeneous superfluid turbulence applied locally fails to give the correct dependence on either position or heat current. The data severely constrain the modifications to the theory that may be considered. We have found an empirical form for the vortex line density in this nonuniform flow which is consistent with our data, although its meaning is unclear.

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