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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 squirmer ： ウィキペディア英語版 squirmer The squirmer is a model for a spherical microswimmer swimming in Stokes flow. The squirmer model has been introduced by James Lighthill in 1952 and refined and used to model Paramecium by John Blake in 1971. Blake used the squirmer model to describe the flow generated by a carpet of beating short filaments called cilia on the surface of Paramecium. Today, the squirmer is a standard model for the study of self-propelled particles, such as Janus particles, in Stokes flow. == Velocity field in particle frame == Here we give the flow field of a squirmer in the case of a non-deformable axisymmetric spherical squirmer (radius $R$).〔〔 These expressions are given in a spherical coordinate system. $$ u_r(r,\theta)=\frac 2 3 \left(\frac -1\right)B_1P_1(\cos\theta)+\sum_^\left(\frac}-\frac\right)B_nP_n(\cos\theta)\;, $$ u_(r,\theta)=\frac 2 3 \left(\frac+1\right)B_1V_1(\cos\theta)+\sum_^\frac 1 2\left(n\frac}+(2-n)\frac\right)B_nV_n(\cos\theta)\;. Here $B\_n$ are constant coefficients, $P\_n(\backslash cos\backslash theta)$ are Legendre polynomials, and $V\_n(\backslash cos\backslash theta)=\backslash frac\backslash partial\_P\_n(\backslash cos\backslash theta)$. One finds $P\_1(\backslash cos\backslash theta)=\backslash cos\backslash theta,\; P\_2(\backslash cos\backslash theta)=\backslash tfrac\; 1\; 2\; (3\backslash cos^2\backslash theta-1),\; \backslash dots,\; V\_1(\backslash cos\backslash theta)=\backslash sin\backslash theta,\; V\_2(\backslash cos\backslash theta)=\; \backslash tfrac\; \backslash sin\; 2\backslash theta,\; \backslash dots$. The expressions above are in the frame of the moving particle. At the interface one finds $u\_(R,\backslash theta)=\backslash sum\_^\; B\_nV\_n$ and $u\_r(R,\backslash theta)=0$. 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「squirmer」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.