著者

長谷 賢治

出版者

沼津工業高等専門学校

雑誌

沼津工業高等専門学校研究報告 (ISSN:02862794)

巻号頁・発行日

vol.22, pp.9-13, 1988-01-30

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Squire's theorem is fundamental in a fluid stability theory. This theorem asserts that in a parallel flow, the critical Reynolds number for 3-dimensional (3-D) disturbances is always greater than that for 2-D disturbances. This report attempts to give a proof of Squire's theorem in a constructive approach. A process of the proof itself gives a method of a stability analysis for 2-D parallel flows. The stability of fundamental flows, I. e. a plane Poiseuille flow and a Couette flow, are invenstigated by the method. These results give a good agreement with previous one.