垂直円管に沿う自由流れの乱流遷移について

概要

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The instability of a free flow along a vertically supported circular pipe has been found by some investigators already, but its mechanism has not been clarified as yet. Therefore, in this paper the properties of such unstable flow were investigated theoretically on the assumption of the so-called small vibration theory. We assumed the thickness of a flow membrane is very small, i.c. h=0.6〜1.0 mm, and the type of a flow is axiallical symmetrical, then the disturbance may be assumed to be two-dimensional. We also assumed a disturbance is composed of two different types of velocity, namely one is cosine typed and the other is hyperbolic cosine typed. The former may vanish on the wall and also on the free surface, but the latter may be very large on the free surface, so that the waving flow observed at the upper surface of the flow may be raised by the latter component.
社団法人日本機械学会の論文
1951-10-20