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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 flow rate ： ウィキペディア英語版 Mass flow rate In physics and engineering, mass flow rate is the mass of a substance which passes per unit of time. Its unit is kilogram per second in SI units, and slug per second or pound per second in US customary units. The common symbol is $\backslash dot$ (pronounced "m-dot"), although sometimes ''μ'' (Greek lowercase mu) is used. Sometimes, mass flow rate is termed ''mass flux'' or ''mass current'', see 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〕 In this article, the (more intuitive) definition is used. Mass flow rate is defined by the limit:〔http://www.engineersedge.com/fluid_flow/mass_flow_rate.htm〕〔http://www.grc.nasa.gov/WWW/k-12/airplane/mflow.html〕 :$\backslash dot\; =\; \backslash lim\backslash limits\_\backslash frac=\; \backslash fracm\}t\}$ i.e. the flow of mass ''m'' through a surface per unit time ''t''. The overdot on the ''m'' is Newton's notation for a time derivative. Since mass is a scalar quantity, the mass flow rate (the time derivative of mass) is also a scalar quantity. The change in mass is the amount that flows ''after'' crossing the boundary for some time duration, not simply the initial amount of mass at the boundary minus the final amount at the boundary, since the change in mass flowing through the area would be zero for steady flow. ==Alternative equations== Mass flow rate can also be calculated by: :$\backslash dot\; m\; =\; \backslash rho\; \backslash cdot\; \backslash dot\; V\; =\; \backslash rho\; \backslash cdot\; \backslash bold\; \backslash cdot\; \backslash bold\; =\; \backslash bold\_\; \backslash cdot\; \backslash bold$ where: *''$\backslash dot\; V$'' or Q = Volume flow rate, *''ρ'' = mass density of the fluid, *v = Flow velocity of the mass elements, *A = cross-sectional vector area/surface, * jm = mass flux. The above equation is only true for a flat, plane area. In general, including cases where the area is curved, the equation becomes a surface integral: :$\backslash dot\; m\; =\; \backslash iint\_A\; \backslash rho\; \backslash bold\; \backslash cdot\; \backslash bold\; =\; \backslash iint\_A\; \backslash bold\_\; \backslash cdot\; \backslash bold$ The area required to calculate the mass flow rate is real or imaginary, flat or curved, either as a cross-sectional area or a surface. E.g. 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, $\backslash bold\; =\; A\; \backslash bold\}$ and the velocity of mass elements. The amount passing through the cross-section is reduced by the factor $\backslash cos\backslash theta$, as ''θ'' increases less mass passes through. All mass which passes in tangential directions to the area, that is perpendicular to the unit normal, ''doesn't'' actually pass ''through'' the area, so the mass passing through the area is zero. This occurs when ''θ'' = ''π''/2: :$\backslash dot\; m\; =\; \backslash rho\; v\; A\; \backslash cos(\backslash pi/2)\; =\; 0$ These results are equivalent to the equation containing the dot product. Sometimes these equations are used to define the mass flow rate. Considering flow through porous media, a special quantity, superficial mass flow rate, can be introduced. It is related with superficial velocity, vs, with the following relationship: :$\backslash dot\; m\_s\; =\; v\_s\; \backslash cdot\; \backslash rho\; =\; \backslash dot\; m/A$〔Lindeburg M. R. Chemical Engineering Reference Manual for the PE Exam. – Professional Publications (CA), 2013.〕 The quantity can be used in particle Reynolds number or mass transfer coefficient calculation for fixed and fluidized bed systems. 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 flow rate」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.