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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 Shocks and Discontinuities (MHD) ： ウィキペディア英語版 Shocks and discontinuities (magnetohydrodynamics) Shocks and discontinuities are transition layers where the plasma properties change from one equilibrium state to another. The relation between the plasma properties on both sides of a shock or a discontinuity can be obtained from the conservative form of the magnetohydrodynamic (MHD) equations, assuming conservation of mass, momentum, energy and of $\backslash nabla\; \backslash cdot\; \backslash mathbf$. ==Rankine-Hugoniot jump conditions for MHD== The jump conditions across a time-independent MHD shock or discontinuity are referred as the Rankine-Hugoniot equations for MHD. In the frame moving with the shock/discontinuity, those jump conditions can be written: :$\backslash rho\_1\; v\_\; =\; \backslash rho\_2\; v\_,$ :$B\_\; =\; B\_,$ :$\backslash rho\_1\; v\_^2+\; p\_1\; +\; \backslash frac=\backslash rho\_2\; v\_^2+\; p\_2\; +\; \backslash frac,$ :$\backslash rho\_1\; v\_\; \backslash mathbf\}B\_\}=\; \backslash rho\_2\; v\_\; \backslash mathbf\}B\_\},$ :$\backslash left(\backslash frac\backslash frac+\backslash frac\backslash right)\backslash rho\_1\; v\_+\backslash frac^2\}-\backslash frac\}\backslash cdot\; \backslash mathbf=\backslash left(\backslash frac\backslash frac+\backslash frac\backslash right)\backslash rho\_2\; v\_+\backslash frac^2\}-\backslash frac\}\backslash cdot\; \backslash mathbf,$ :$(\backslash mathbf\; \backslash times\; \backslash mathbf)\_\; =\; (\backslash mathbf\; \backslash times\; \backslash mathbf)\_,$ where $\backslash rho$, v, p, B are the plasma density, velocity, (thermal) pressure and magnetic field respectively. The subscripts t and n refer to the tangential and normal components of a vector (with respect to the shock/discontinuity front). The subscripts 1 and 2 refer to the two states of the plasma on each side of the shock/discontinuity 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「Shocks and discontinuities (magnetohydrodynamics)」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.