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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 Fenske equation ： ウィキペディア英語版 Fenske equation The Fenske equation in continuous fractional distillation is an equation used for calculating the minimum number of theoretical plates required for the separation of a binary feed stream by a fractionation column that is being operated at total reflux (i.e., which means that no overhead product distillate is being withdrawn from the column). The equation was derived in 1932 by Merrell Fenske, a professor who served as the head of the chemical engineering department at the Pennsylvania State University from 1959 to 1969.〔M.R. Fenske (1932). ''Ind.Eng. Chem.'', Vol. 24: 482.〕 When designing large-scale, continuous industrial distillation towers, it is very useful to first calculate the minimum number of theoretical plates required to obtain the desired overhead product composition. ==Common versions of the Fenske equation== This is one of the many different but equivalent versions of the Fenske equation valid only for binary mixtures:〔 (Chapter 4 ), (From the website of Cal Poly Pomona in California. Lecture notes of Professor Thuan Ke Nguyen for the course entitled ''CHE313, Mass Transfer''. See page 4-42.)〕〔 (See page 200.)〕〔 (See equations 3.4 and 3.5 on page 106.)〕〔 (See equation 7.88 on page 375.)〕 :$\backslash \; N\; =\; \backslash frac\backslash Big)\backslash Big(\backslash frac\; \backslash Big)\; \backslash bigg\; )\}$  is the average relative volatility of the more volatile component to the less volatile component. For a multi-component mixture the following formula holds. For ease of expression, the more volatile and the less volatile components are commonly referred to as the light key (LK) and the heavy key (HK), respectively. Using that terminology, the above equation may be expressed as:〔 :$\backslash \; N\; =\; \backslash frac\backslash Big)\backslash Big(\backslash frac\; \backslash Big)\; \backslash bigg\; )\}\backslash Big)\backslash Big(\backslash frac\; \backslash Big)\; \backslash bigg\; )\}$ is simply $\backslash alpha$. If the relative volatility is not constant from top to bottom of the column, then the following approximation may be used:〔 :$\backslash alpha\_\; =\; \backslash sqrt$ where: * $\backslash alpha\_t$ is the relative volatility of light key to heavy key at top of column, * $\backslash alpha\_b$ is the relative volatility of light key to heavy key at bottom of column. The above forms of the Fenske equation can be modified for use in the total reflux distillation of multi-component feeds.〔 It is also helpful in solving liquid–liquid extraction problems, because an extraction system can also be represented as a series of equilibrium stages and relative solubility can be substituted for relative volatility. 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「Fenske 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.