On the Absolute Path of Fluid Particle around Cylinders having Several Kinds of Cross-section
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A body moving through a fluid which is at rest at infinity produces motions of the fluid particles adjacent to it. A path which an individual particle of the fluid traces through successive instants of time, refered to the co-ordinate axes fixed to space, is called the"absolute path"of that particle. The significance of the absolute path seems, as far as the authors are aware, to have not been discusse l from the hydro-engineering standpoint. The present authors, therefore, pursued this point and tried to find the relation between the absolute path and the characteristics of the so-called stream-line formFirstly, theoretical treatment of the absolute path around a circular cylinder which had been published by the old investigators was introduced. Next, as an example of the most general case, the absolute path around an aerofoil section (Joukowsky 603) with circulation was constructed. It can not be impossible to get the absolute path analytically starting from the stream and potential functions of flow, but in practice, there lying many mathematical difficulties, a good deal of graphical calculations which must be precisely operated is necessary. As the next step, to investigate it experimentally, the absolute paths around cylinders having the cross-sections of circle, ellipse, Rankine's neoid, stream-line form as well as symmetrical and asymmetrical aerofoil sections were photographed in the water tank. Comparing the experimental results with the theoretical ones, it was shown that the hydrodynamical characteristics of the stream-line form is likely to be interpreted by introducing the idea of"transportation quantity"of fluid particles. The experimental results were, however, qualitative and the quantitative conclusions were not obtained. In the appendix, the figures of the absolute paths around several sections which have been obtained previously by various authors were collected for reference.
- 社団法人 日本船舶海洋工学会の論文
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