Abstract
It is suggested to describe a liquid flow in a cylindrical round channel with elastic walls in terms of a two-fluid model used to describe the flow of He II in narrow capillaries near absolute zero. The idea is based on a similar (phonon-like) shape of the spectrum of elementary excitations at small wavenumbers k. The calculations show that the density ρn of a normal (i.e., viscous) liquid component (water in a steel tube) at 300 K is about 50 times smaller than the total density. This explains the paradox related to flow in a round tube for which anomalously large Reynolds numbers (Re∼105) are observed. Since Re∼ρn, real Reynolds numbers must also be about 50 times as small, that is, on the same order of magnitude as those for a flow between planes under otherwise equal conditions. A physical reason for the appearance of superfluidity at high (∼300 K) temperatures is a decrease in repulsion between small density fluctuations in the liquid, which is related to their interaction being screened by elastic waves in the channel walls.
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