Behringer, RP, *Hydrodynamic heat flow in very dilute superfluid*^{3}He-^{4}He mixtures,
Journal of Low Temperature Physics, vol. 62 no. 1-2
(1986),
pp. 15-26 [doi] .
**Abstract:**

*The superfluid hydrodynamics of heat flow is examined for very small mass concentrations c of3He in4He in an effort to better understand recent results for the effective heat conductivity κeff, which appear to be in conflict with predictions. The full hydrodynamics contains a thermal boundary layer; within this layer the temperature and concentration gradients differ from those in the bulk fluid. An examination of finite heating effects based on the ansatz κeff ∝c-pfor small c shows distinctly different behavior for experimental determinations of κeff when p<1, p=1, and p>1. Thus, finite heating can be used as a probe to evaluate the exponent p. © 1986 Plenum Publishing Corporation.*