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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 Mass flux ： ウィキペディア英語版 Mass flux In physics and engineering, mass flux is the rate of mass flow per unit area, perfectly overlapping with the momentum density, the momentum per unit volume. The common symbols are ''j'', ''J'', ''q'', ''Q'', ''φ'', or ''Φ'' (Greek lower or capital Phi), sometimes with subscript ''m'' to indicate mass is the flowing quantity. Its SI units are kg s−1 m−2. Mass flux can also refer to an alternate form of flux in Fick's law that includes the molecular mass, or in Darcy's law that includes the mass density.〔(【引用サイトリンク】title=Thesaurus: Mass flux )〕 Unfortunately, sometimes the defining equation for mass flux in this article is used interchangeably with the defining equation in mass flow rate. For example, ''Fluid Mechanics, Schaum's et al'' 〔Fluid Mechanics, M. Potter, D.C. Wiggart, Schuam's outlines, McGraw Hill (USA), 2008, ISBN 978-0-07-148781-8〕 uses the definition of mass flux as the equation in the mass flow rate article. ==Definition== Mathematically, mass flux is defined as the limit: :$j\_m\; =\; \backslash lim\backslash limits\_\backslash frac$ where: :$I\_m\; =\; \backslash lim\backslash limits\_\backslash frac\; =\; \backslash frac$ is the mass current (flow of mass ''m'' per unit time ''t'') and ''A'' is the area through which the mass flows through. For mass flux as a vector j''m'', the surface integral it over a surface ''S'', followed by an integral over the time duration ''t''1 to ''t''2, gives the total amount of mass flowing through the surface in that time (''t''2 − ''t''1): :$m=\backslash int\_^\backslash iint\_S\; \backslash bold\_m\backslash cdot\backslash boldAt$ The area required to calculate the flux is real or imaginary, flat or curved, either as a cross-sectional area or a surface. For example, for substances passing through a filter or a membrane, the real surface is the (generally curved) surface area of the filter, macroscopically - ignoring the area spanned by the holes in the filter/membrane. The spaces would be cross-sectional areas. For liquids passing through a pipe, the area is the cross-section of the pipe, at the section considered. The vector area is a combination of the magnitude of the area through which the mass passes through, ''A'', and a unit vector normal to the area, $\backslash bold\; =\; A\; \backslash bold\}$, then :$\backslash bold\_m\backslash cdot\backslash bold\{\backslash hat\{n\}\}=\; j\_m\backslash cos\backslash theta$ where · is the dot product of the unit vectors. This is, the component of mass flux passing through the surface (i.e. normal to it) is ''jm'' cos θ, while the component of mass flux passing tangential to the area is ''jm'' sin θ, but there is ''no'' mass flux actually passing ''through'' the area in the tangential direction. The ''only'' component of mass flux passing normal to the area is the cosine component. 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「Mass flux」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.