查看“︁芬斯克方程”︁的源代码

[[File:Total Reflux.png|right|250px|thumb|全回流操作下的蒸餾塔]]

'''芬斯克方程'''（{{lang-en|Fenske equation}}）用於計算雙成分連續[[分餾]]，於全[[回流 (實驗裝置)|回流]]操作條件下，[[蒸餾塔]]所需的最小{{le|理論板|Theoretical plate}}數。這對於蒸餾塔設計非常實用。

芬斯克方程係由梅里爾·芬斯克（{{lang|en|Merrell Fenske}}）於1932年推導而來<ref>{{Cite web |url=https://www.chemistryworld.com/opinion/fenskes-helices/3007596.article |title=Merrell Robert Fenske, American chemical engineer (1904–1971) and fractionating column designer |accessdate=2018-01-06 |archive-date=2017-10-30 |archive-url=https://web.archive.org/web/20171030105438/https://www.chemistryworld.com/opinion/fenskes-helices/3007596.article |dead-url=no }}</ref>；他曾於1959至1969年間擔任[[賓州州立大學]][[化學工程學]]系主任<ref>M.R. Fenske (1932). ''Ind.Eng. Chem.'', '''Vol. 24''': 482.</ref>。

在設計大尺度連續工業精餾塔時，經常以芬斯克方程初步估算產出理想塔頂產品組成所需的最小理論板數。

==常見的表示式==
芬斯克方程有諸多等價的表達方式，以下提供其中常見的表示式<ref name=Nguyen>[http://www.csupomona.edu/~tknguyen/che313/pdf/chap4-4d.pdf Chapter 4] {{webarchive|url=https://web.archive.org/web/20140531123923/http://www.csupomona.edu/~tknguyen/che313/pdf/chap4-4d.pdf |date=2014-05-31 }}, (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.)</ref><ref name=Jones>{{cite book|author=David S.J. Jones and Peter P. Pujado (Editors)|title=Handbook of Petroleum Processing|url=https://archive.org/details/handbookofpetrol0000unse|edition=1st|publisher=Springer|year=2006|isbn=1-4020-2819-9}} (See page 200.)</ref><ref>{{cite book|author=Henry Kister|title=Distillation Design|edition=1st|publisher=McGraw-Hill|year=1992|isbn=0-07-034909-6}} (See equations 3.4 and 3.5 on page 106.)</ref><ref name=Coker>{{cite book|author=A. Kayode Coker|title=Ludwig's Applied Process Design for Chemical and Petrochemical Plants, Volume 2|edition=4th|publisher=Gulf Professional Publishers|year=2010|ISBN=978-0-7506-8366-1}}</ref><ref>{{cite book|author=Binay K. Dutta|title=Principles of Mass Transfer and Separation Processes|edition=|publisher=Prentice Hall of India|year=2007|isbn=978-81-203-2990-4}} (See equation 7.88 on page 375.)</ref>：

:<math>\ N = \frac{\log \, \bigg[ \Big(\frac{X_d}{1-X_d}\Big)\Big(\frac{1-X_b}{X_b} \Big) \bigg]}{\log \, \alpha_{avg}} </math>

* <math>N</math>為全回流操作下的最小理論板數（包含再沸器）
* <math>X_d</math> &thinsp;是較易[[揮發性|揮發]]物質於塔頂餾出物中的[[莫耳分率]]
* <math>X_b</math> &thinsp;是較易揮發物質於塔底的莫耳分率
* <math>\alpha_{avg}</math> &thinsp;是平均{{le|相對揮發性|Relative volativity}}（較易揮發物對上較不易揮發物）

==參見==
*{{le|連續蒸餾|Continuous distillation}}
*[[蒸餾]]
*[[分餾]]
*[[蒸餾塔]]
*[[麥凱布－蒂勒方法]]

==參考文獻==
{{reflist}}

==外部連結==
*[http://www.cbu.edu/~rprice/lectures/distill4.html Lecture Notes] {{Wayback|url=http://www.cbu.edu/~rprice/lectures/distill4.html |date=20120502180550 }} (R.M. Price, [[Christian Brothers University]], Tennessee)
*[http://www.design.che.vt.edu/publication/74_LiuQuantrilleCheng1993df.pdf ''Studies in Chemical Process Design and Synthesis''] {{Wayback|url=http://www.design.che.vt.edu/publication/74_LiuQuantrilleCheng1993df.pdf |date=20200411193421 }}, Y. A. Liu, T.E. Quantrille, and S. Chengt, Ind. Eng. Chem. Res., Volume 29, 1990
*[http://www.engr.sjsu.edu/jennimi/Classes/CHE160B/Notes/25%20-%20MULTICOMPONENT%20DISTILLATION%20CONCEPTS%20.ppt Multi-component Distillation]{{dead link|date=2018年1月 |bot=InternetArchiveBot |fix-attempted=yes }} (M.B. Jennings, [[San Jose State University]])

{{Distillation}}

[[Category:蒸餾]]
[[Category:方程]]