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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 Reynolds equation ： ウィキペディア英語版 Reynolds equation The Reynolds Equation is a partial differential equation governing the pressure distribution of thin viscous fluid films in Lubrication theory. It should not be confused with Osborne Reynolds' other namesakes, Reynolds number and Reynolds-averaged Navier–Stokes equations. It was first derived by Osborne Reynolds in 1886.〔Reynolds, O. 1886. On the Theory of Lubrication and Its Application to Mr. Beauchamp Tower's Experiments, Including an Experimental Determination of the Viscosity of Olive Oil. ''Philosophical Transactions of the Royal Society of London''.()〕 The classical Reynolds Equation can be used to describe the pressure distribution in nearly any type of fluid film bearing; a bearing type in which the bounding bodies are fully separated by a thin layer of liquid or gas. ==General usage== The general Reynolds equation is: :$\backslash frac\backslash left(\backslash frac\backslash frac\backslash right)+\backslash frac\backslash left(\backslash frac\backslash frac\backslash right)=\backslash frac\backslash left(\backslash frac\backslash right)+\backslash frac\backslash left(\backslash frac\backslash right)+\backslash rho\backslash left(w\_a-w\_b\backslash right)-\backslash rho\; u\_a\backslash frac\; -\; \backslash rho\; v\_a\; \backslash frac+h\backslash frac$ Where: *$p$ is fluid film pressure. *$x$ and $y$ are the bearing width and length coordinates. *$z$ is fluid film thickness coordinate. *$h$ is fluid film thickness. *$\backslash mu$ is fluid viscosity. *$\backslash rho$ is fluid density. *$u,\; v,\; w$ are the bounding body velocities in $x,\; y,\; z$ respectively. *$a,\; b$ are subscripts denoting the top and bottom bounding bodies respectively. The equation can either be used with consistent units or nondimensionalized. The Reynolds Equation assumes: *The fluid is Newtonian. *Fluid viscous forces dominate over fluid inertia forces. This is the principal of the Reynolds number. *Fluid body forces are negligible. *The variation of pressure across the fluid film is negligibly small (i.e. $\backslash frac\; =\; 0$) *The fluid film thickness is much less than the width and length and thus curvature effects are negligible. (i.e. and ). For some simple bearing geometries and boundary conditions, the Reynolds equation can be solved analytically. Often however, the equation must be solved numerically. Frequently this involves discretizing the geometric domain, and then applying a finite technique - often FDM, FVM, or FEM. 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「Reynolds equation」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.