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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 Prandtl–Meyer function ： ウィキペディア英語版 Prandtl–Meyer function Prandtl–Meyer function describes the angle through which a flow can turn isentropically for the given initial and final Mach number. It is the maximum angle through which a sonic (M = 1) flow can be turned around a convex corner. For an ideal gas, it is expressed as follows, : $\backslash begin\; \backslash nu(M)$ & = \int \fracM^2}\frac \\ & = \sqrt} \cdot \arctan \sqrt (M^2 -1)} - \arctan \sqrt \\ \end where, $\backslash nu\; \backslash ,$ is the Prandtl–Meyer function, $M$ is the Mach number of the flow and $\backslash gamma$ is the ratio of the specific heat capacities. By convention, the constant of integration is selected such that $\backslash nu(1)\; =\; 0.\; \backslash ,$ As Mach number varies from 1 to $\backslash infty$, $\backslash nu\; \backslash ,$ takes values from 0 to $\backslash nu\_\backslash text\; \backslash ,$, where : $\backslash nu\_\backslash text\; =\; \backslash frac\; \backslash bigg(\; \backslash sqrt\}\; -1\; \backslash bigg)$ where, $\backslash theta$ is the absolute value of the angle through which the flow turns, $M$ is the flow Mach number and the suffixes "1" and "2" denote the initial and final conditions respectively. == See also == * Gas dynamics * Prandtl–Meyer expansion fan 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「Prandtl–Meyer function」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.