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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Perrin friction factors ： ウィキペディア英語版 Perrin friction factors In hydrodynamics, the Perrin friction factors are multiplicative adjustments to the translational and rotational friction of a rigid spheroid, relative to the corresponding frictions in spheres of the same volume. These friction factors were first calculated by Jean-Baptiste Perrin. These factors pertain to spheroids (i.e., to ellipsoids of revolution), which are characterized by the axial ratio ''p = (a/b)'', defined here as the axial semiaxis ''a'' (i.e., the semiaxis along the axis of revolution) divided by the equatorial semiaxis ''b''. In prolate spheroids, the axial ratio ''p > 1'' since the axial semiaxis is longer than the equatorial semiaxes. Conversely, in oblate spheroids, the axial ratio ''p < 1'' since the axial semiaxis is shorter than the equatorial semiaxes. Finally, in spheres, the axial ratio ''p = 1'', since all three semiaxes are equal in length. The formulae presented below assume "stick" (not "slip") boundary conditions, i.e., it is assumed that the velocity of the fluid is zero at the surface of the spheroid. ==Perrin S factor== For brevity in the equations below, we define the Perrin S factor. For ''prolate'' spheroids (i.e., cigar-shaped spheroids with two short axes and one long axis) :$$ S \ \stackrel\ 2 \frac where the parameter $\backslash xi$ is defined :$$ \xi \ \stackrel\ \frac} Similarly, for ''oblate'' spheroids (i.e., discus-shaped spheroids with two long axes and one short axis) :$$ S \ \stackrel\ 2 \frac For spheres, $S\; =\; 2$, as may be shown by taking the limit $p\; \backslash rightarrow\; 1$ for the prolate or oblate spheroids. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Perrin friction factors」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.