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Journal ArticleDOI

Asymptotics of the flows of a liquid with a free boundary with vanishing viscosity

01 Jan 1980-Journal of Applied Mechanics and Technical Physics (Kluwer Academic Publishers-Plenum Publishers)-Vol. 21, Iss: 1, pp 57-61
About: This article is published in Journal of Applied Mechanics and Technical Physics.The article was published on 1980-01-01. It has received 1 citations till now. The article focuses on the topics: Free boundary problem & Boundary layer thickness.
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01 Jan 1955
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Abstract: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part. These actual flows show a special characteristic, denoted as turbulence. The character of a turbulent flow is most easily understood the case of the pipe flow. Consider the flow through a straight pipe of circular cross section and with a smooth wall. For laminar flow each fluid particle moves with uniform velocity along a rectilinear path. Because of viscosity, the velocity of the particles near the wall is smaller than that of the particles at the center. i% order to maintain the motion, a pressure decrease is required which, for laminar flow, is proportional to the first power of the mean flow velocity. Actually, however, one ob~erves that, for larger Reynolds numbers, the pressure drop increases almost with the square of the velocity and is very much larger then that given by the Hagen Poiseuille law. One may conclude that the actual flow is very different from that of the Poiseuille flow.

17,321 citations

Journal ArticleDOI
TL;DR: In this paper, the boundary layer method is applied to problems of oscillations of a fluid in vessels in the case of small viscosity, and the authors use this method to solve a series of problems on oscillation of a low viscoity fluid in certain regions.

25 citations