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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 Upper-convected time derivative ： ウィキペディア英語版 Upper-convected time derivative In continuum mechanics, including fluid dynamics, an upper-convected time derivative or Oldroyd derivative, named after James G. Oldroyd, is the rate of change of some tensor property of a small parcel of fluid that is written in the coordinate system rotating and stretching with the fluid. The operator is specified by the following formula: :$\backslash stackrel\; \backslash mathbf\; -\; (\backslash nabla\; \backslash mathbf)^T\; \backslash cdot\; \backslash mathbf\; -\; \backslash mathbf\; \backslash cdot\; (\backslash nabla\; \backslash mathbf)$ where: *$\}$ is the upper-convected time derivative of a tensor field $\backslash mathbf$ *$\backslash frac$ is the substantive derivative *$\backslash nabla\; \backslash mathbf=\backslash frac$ is the tensor of velocity derivatives for the fluid. The formula can be rewritten as: :$\}\_\; =\; \backslash frac\; +\; v\_k\; \backslash frac\; -\; \backslash frac\; A\_\; -\; \backslash frac\; A\_$ By definition the upper-convected time derivative of the Finger tensor is always zero. The upper-convected derivative is widely use in polymer rheology for the description of behavior of a viscoelastic fluid under large deformations. ==Examples for the symmetric tensor ''A''== 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「Upper-convected time derivative」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.