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On the steady state fractionation of multicomponent and complex mixtures in an ideal cascade: Part 1—Analytic solution of the equations for general mixtures

✍ Scribed by Andreas Acrivos; Neal R. Amundson

Publisher
Elsevier Science
Year
1955
Tongue
English
Weight
761 KB
Volume
4
Category
Article
ISSN
0009-2509

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✦ Synopsis

The equations for the steady state rectification of mixtures which obey a rather general vapour-liquid equilibrium law in an ideal cascade are solved in closed form. Various km& of mixtures are examined. From the mathematical standpoint the prbblem presents some intereating features, first, because it may be linearized and, second, it can be reduced to an eigenvalue problem which in turn can be solved by a new transform, the transform bell finite or infinite depending upon the number of components in the mixture. Methods for the numerical evaluation of the formulae as well as applications to practice will be reported elsewhere. The calculation of the mlnllum reflux will be presented in Part II. R&sum&-Dans le cas d'une cascade idbale, l'auteur a r&olu les dquations de la rectitlcation en &at stationnaire de mblanges qui ob&sent B une loi d'&quilibre liquide-vapeur sulllsamment @n&ale. 11 examine diverses sortes de mdlanges. Du point de vue mathbmatique, le probl6me p&ente quelques caract&istiquea i&ressantes : (I") parce qu'il peut i%re mls sous forme lindaire et (2') parce qu'il peut &e rament! B un problbme " de valeurs part&l&es " qui peut &tre r&olu, B son tour, par une nouvelle transformation, cette transformation &ant finie ou infinie, suivant le nombre de composanta du m&nge. L'auteur donne-ra ailleurs des mCthodes pour l'dvaluation num&ique des formulea aussi bien que des applications pratiques. 11 prt&ntera le calcul du reflux minimum dans la deuxihme partie.

📜 SIMILAR VOLUMES

On the steady state fractionation of mul
On the steady state fractionation of multicomponent and complex mixtures in an ideal cascade: Part 2.—The calculation of the minimum reflux ratio
✍ Andreas Acrivos; Neal R. Amundson 📂 Article 📅 1955 🏛 Elsevier Science 🌐 English ⚖ 483 KB

The important problem of calculating the minimum reflux ratio in the separation of multicomponent and complex mixtures in an ideal cascade has been solved in closed fomr. The solution of two rather unusual integral equations may be of interest. Numerical calculations have been performed and will be

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✍ Andreas Acrivos; Neal R. Amundson 📂 Article 📅 1955 🏛 Elsevier Science 🌐 English ⚖ 608 KB

In thiv puper the formulae necessary for rectifbation calculations on complex mixtures are summarized and developed for numerical computation. These formulae involve the ccmputation of improper integrals for which a method of calculation ls developed. A numerical example iq comddered in some deetail

On the steady state fractionation of mul
On the steady state fractionation of multicomponent and complex mixtures in an ideal cascade: Part VI—The effect of variations of the relative volatilities, the flow rates and the plate efficiencies
✍ Andreas Acrivos; Neal R. Amundson 📂 Article 📅 1955 🏛 Elsevier Science 🌐 English ⚖ 467 KB

An approximate yet standard procedure, the perturbation method, is used to solve analytically the equation for the steafiy state fractionation of multicomponent and complex mixtures in non-ideal cascades. It is shown that the formulae are easily adaptable to numerical evaluation. The perturbation m