Abstract

Some calculations are presented concerning the flow of liquid helium II in a usual apparatus consisting of two volumes connected by a slit or capillary. In such an apparatus the difference in level (ΔH) and temperature (ΔT) can vary as a result of a heat input in one of the volumes. In the present paper the behaviour of ΔH and ΔT as a function of time is calculated on the basis of the equations of motion of the two fluids and the principle of conservation of energy. Details of the obtained results are discussed, some of them turned out to be independent of the existence of a critical velocity or even a mutual friction force. The relation between this mutual friction force and the amount of liquid flowing after the heat supply has been stopped (the “overshoot”) has also been calculated.

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