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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 Brunt–Väisälä frequency ： ウィキペディア英語版 Brunt–Väisälä frequency In atmospheric dynamics, oceanography, asteroseismology and geophysics, the Brunt–Väisälä frequency, or buoyancy frequency, is the angular frequency at which a vertically displaced parcel will oscillate within a statically stable environment. It is named after David Brunt and Vilho Väisälä. ==Derivation for a general fluid== Consider a parcel of (water or gas) that has density of $\backslash rho\_0$ and the environment with a density that is a function of height: $\backslash rho\; =\; \backslash rho\; (z)$. If the parcel is displaced by a small vertical increment $z\text{'}$, it will be subject to an extra gravitational force against its surroundings of: :$\backslash rho\_0\; \backslash frac\; =\; -\; g\; (\backslash rho\; (z)-\backslash rho\; (z+z\text{'}))$ g is the gravitational acceleration, and is defined to be positive. We make a linear approximation to $\backslash rho\; (z+z\text{'})\; -\; \backslash rho\; (z)\; =\; \backslash frac\; z\text{'}$, and move $\backslash rho\_0$ to the RHS: :$\backslash frac\; =\; \backslash frac\; \backslash frac\; z\text{'}$ The above 2nd order differential equation has straightforward solutions of: :$z\text{'}\; =\; z\text{'}\_0\; e^\backslash !$ where the Brunt–Väisälä frequency ''N'' is: :$N\; =\; \backslash sqrt\; \backslash frac\}$ For negative $\backslash frac$, z' has oscillating solutions (and N gives our angular frequency). If it is positive, then there is run away growth – i.e. the fluid is statically unstable. 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「Brunt–Väisälä frequency」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.