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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 Taylor microscale ： ウィキペディア英語版 Taylor microscale The Taylor microscale, which is sometimes called the turbulence length scale, is a length scale used to characterize a turbulent fluid flow.〔Tennekes & Lumley (1972) pp. 65–68.〕 This microscale is named after Geoffrey Ingram Taylor. The Taylor microscale is the intermediate length scale at which fluid viscosity significantly affects the dynamics of turbulent eddies in the flow. This length scale is traditionally applied to turbulent flow which can be characterized by a Kolmogorov spectrum of velocity fluctuations. In such a flow, length scales which are larger than the Taylor microscale are not strongly affected by viscosity. These larger length scales in the flow are generally referred to as the inertial range. Below the Taylor microscale the turbulent motions are subject to strong viscous forces and kinetic energy is dissipated into heat. These shorter length scale motions are generally termed the dissipation range. Calculation of the Taylor microscale is not entirely straightforward, requiring formation of certain flow correlation function(s),〔Landahl, M.T. & E. Mollo-Christensen. Turbulence and Random Processes in Fluid Mechanics. Cambridge, 2ed, 1992.〕 then expanding in a Taylor series and using the first non-zero term to characterize an osculating parabola. The Taylor microscale is proportional to $Re^$, while the Kolmogorov microscales is proportional to $Re^$, where $Re$ is the integral scale Reynolds number. A turbulence Reynolds number calculated based on the Taylor microscale $\backslash lambda$ is given by $$ Re_\lambda = \frac \lambda} where $\backslash langle\; \backslash mathbf\; \backslash rangle\_\; =\; \backslash sqrt$ is the root mean square of the velocity fluctuations. The Taylor microscale is given as $$ \lambda = \sqrt} \langle \mathbf \rangle_ where $\backslash nu$ is the kinematic viscosity, and $\backslash epsilon$ is the rate of energy dissipation. A relation with turbulence kinetic energy can be derived as $$ \lambda \approx \sqrt} The Taylor microscale gives a convenient estimation for the fluctuating strain rate field $$ \left( \frac}\right)^2 = \frac^2} ==Other relations== The Taylor microscale falls in between the large scale eddies and the small scale eddies, which can be seen by calculating the ratios between $\backslash lambda$ and the Kolmogorov microscale $\backslash eta$. Given the lengthscale of the larger eddies $l\; \backslash propto\; \backslash frac$, and the turbulence Reynolds number $Re\_$ referred to these eddies, the following relations can be obtained: $$ \frac = \sqrt Re_^ $$ \frac = Re_^ $$ \frac = \sqrt Re_^ $$ \lambda = \sqrt \eta^ l^ 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「Taylor microscale」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.