翻訳と辞書 Words near each other ・ Taylortown, North Carolina ・ Taylorville ・ Taylorville Chautauqua Auditorium ・ Taylorville Courthouse Square Historic District ・ Taylorville High School ・ Taylorville Station (reserve) ・ Taylorville Station, South Australia ・ Taylorville Township, Christian County, Illinois ・ Taylorville, Alberta ・ Taylorville, California ・ Taylorville, Illinois ・ Taylorville, Indiana ・ Taylorville, New Zealand ・ Taylorville, West Virginia ・ Taylor–Burton Diamond ・ Taylor–Couette flow ・ Taylor–Goldstein equation ・ Taylor–Green vortex ・ Taylor–Proudman theorem ・ Taylor–Southgate Bridge ・ Taylor–Wythe Houses ・ Taylour Paige ・ Tayma ・ Taymani ・ Taymi Chappe ・ Taymouth ・ Taymouth Castle ・ Taymouth Hours ・ Taymouth Township, Michigan ・ Taymouth, New Brunswick Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Taylor–Couette flow ： ウィキペディア英語版 Taylor–Couette flow In fluid dynamics, the Taylor–Couette flow consists of a viscous fluid confined in the gap between two rotating cylinders. For low angular velocities, measured by the Reynolds number ''Re'', the flow is steady and purely azimuthal. This basic state is known as circular Couette flow, after Maurice Marie Alfred Couette who used this experimental device as a means to measure viscosity. Sir Geoffrey Ingram Taylor investigated the stability of the Couette flow in a ground-breaking paper which has been a cornerstone in the development of hydrodynamic stability theory.〔 〕 Taylor showed that when the angular velocity of the inner cylinder is increased above a certain threshold, Couette flow becomes unstable and a secondary steady state characterized by axisymmetric toroidal vortices, known as Taylor vortex flow, emerges. Subsequently increasing the angular speed of the cylinder the system undergoes a progression of instabilities which lead to states with greater spatio-temporal complexity, with the next state being called as wavy vortex flow. If the two cylinders rotate in opposite sense then spiral vortex flow arises. Beyond a certain Reynolds number there is the onset of turbulence. Circular Couette flow has wide applications ranging from desalination to magnetohydrodynamics and also in viscosimetric analysis. Furthermore, when the liquid is allowed to flow in the annular space of two rotating cylinders along with the application of a pressure gradient then a flow called Taylor–Dean flow arises. Different flow regimes have been categorized over the years including twisted Taylor vortices, wavy outflow boundaries, etc. It has been a well researched and documented flow in fluid dynamics.〔 〕 ==Taylor vortex== Taylor vortices (also named after Sir Geoffrey Ingram Taylor) are vortices formed in rotating Taylor–Couette flow when the Taylor number ($\backslash mathrm$) of the flow exceeds a critical value $\backslash mathrm$. For flow in which : instabilities in the flow are not present, i.e. perturbations to the flow are damped out by viscous forces, and the flow is steady. But, as the $\backslash mathrm$ exceeds $\backslash mathrm$, axisymmetric instabilities appear. The nature of these instabilities is that of an exchange of stabilities (rather than an overstability), and the result is not turbulence but rather a stable secondary flow pattern that emerges in which large toroidal vortices form in flow, stacked one on top of the other. These are the Taylor vortices. While the fluid mechanics of the original flow are unsteady when $\backslash mathrm>\backslash mathrm$, the new flow, called ''Taylor–Couette flow'', with the Taylor vortices present, is actually steady until the flow reaches a large Reynolds number, at which point the flow transitions to unsteady "wavy vortex" flow, presumably indicating the presence of non-axisymmetric instabilities. Rotating Couette flow is characterized geometrically by the two parameters :$$ \mu = \Omega_2 / \Omega_1 and :$$ \eta = R_1 / R_2 where the subscript "1" refers to the inner cylinder and the subscript "2" refers to the outer cylinder. The idealized mathematical problem is posed by choosing a particular value of $\backslash mu$, $\backslash eta$, and $\backslash mathrm$. As $\backslash eta\; \backslash rightarrow\; 1$ and $\backslash mu\; \backslash rightarrow\; 1$ from below, the critical Taylor number is $\backslash mathrm\; \backslash simeq\; 1708$. 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–Couette flow」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.