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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 shear rate ： ウィキペディア英語版 shear rate Shear rate is the rate at which a progressive shearing deformation is applied to some material. ==Simple Shear== The shear rate for a fluid flowing between two parallel plates, one moving at a constant speed and the other one stationary (Couette flow), is defined by :$\backslash dot\backslash gamma\; =\; \backslash frac,$ where: *$\backslash dot\backslash gamma$ is the shear rate, measured in reciprocal seconds; *$v$ is the velocity of the moving plate, measured in meters per second; *$h$ is the distance between the two parallel plates, measured in meters. Or: :$$ \dot\gamma_ = \frac + \frac. For the simple shear case, it is just a gradient of velocity in a flowing material. The SI unit of measurement for shear rate is s−1, expressed as "reciprocal seconds" or "inverse seconds". The shear rate at the inner wall of a Newtonian fluid flowing within a pipe〔Ron Darby, ''Chemical engineering fluid mechanics'', 2nd ed. CRC Press, 2001, (p. 64 )〕 is :$\backslash dot\backslash gamma\; =\; \backslash frac,$ where: *$\backslash dot\backslash gamma$ is the shear rate, measured in reciprocal seconds; *$v$ is the linear fluid velocity; *$d$ is the inside diameter of the pipe. The linear fluid velocity ''v'' is related to the volumetric flow rate ''Q'' by :$v\; =\; \backslash frac,$ where ''A'' is the cross-sectional area of the pipe, which for an inside pipe radius of ''r'' is given by :$A\; =\; \backslash pi\; r^2,$ thus producing :$v\; =\; \backslash frac.$ Substituting the above into the earlier equation for the shear rate of a Newtonian fluid flowing within a pipe, and noting (in the denominator) that ''d'' = 2''r'': :$\backslash dot\backslash gamma\; =\; \backslash frac\; =\; \backslash frac\backslash right)\},$ which simplifies to the following equivalent form for wall shear rate in terms of volumetric flow rate ''Q'' and inner pipe radius ''r'': :$\backslash dot\backslash gamma\; =\; \backslash frac.$ For a Newtonian fluid wall, shear stress ($\backslash tau\_w$) can be related to shear rate by $\backslash tau\_w\; =\; \backslash dot\backslash gamma\_x\; \backslash mu$, where $\backslash mu$ is the dynamic viscosity of the fluid. For non-Newtonian fluids, there are different constitutive laws depending on the fluid, which relates the stress tensor to the shear rate tensor. 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「shear rate」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.