The problem of choosing the operating conditions, such as temperature and holding time, in a sequence of stirred tank reactors so as to maximize the profit from the conversion is here solved by a functional equation. This equation, derived by the method of dynamic programming, is very suitable for t
Studies in optimization—I: The optimum design of adiabatic reactors with several beds
✍ Scribed by R. Aris
- Publisher
- Elsevier Science
- Year
- 1960
- Tongue
- English
- Weight
- 793 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0009-2509
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✦ Synopsis
The optimum design of an adiabatic reactor involves the choice of the size of each bed and the amount of interstage cooling between beds. These decisions can be made in an orderly way by applying the notion of dynamic programming, and in the case of a single reaction allow of a simple graphical presentation.
The principal subject of this paper is case of a single reaction with costs proportional to the bed volume and the amount of heat removed. It is shown that this simple model suffices to solve a number of more general problems.
Resume-Le
projet optimum d'un r6acteur adiabatique met en jeu le choix de la dimension de chaque lit et la valeur, a des stades intermediaires, de la refrigeration entre les lits. Ces conclusions peuvent etre times methodiquement par l'application de la programmation dynamique et dans le cas oh une reaction unique permet une representation graphique simple. Le sujet principal de ce memoire traite le cas d'une reaction simple dont le cotit est proportionnel au volume du lit et a la quantite de chaleur Climinte. On voit que ce simple modele suffit pour r&oudre un certain nombre de problemes les plus generaux. Zusammenfassung-Die opthnale Gestatlung eines adiabatischen Reaktors Iauft hinaus auf die Wahl der Abmessungen jeder Kontakt-schicht und den Umfang der Kiihlung zwischen den Kontakt-schichten. Diese Entscheidungen konnen durch Anwendung der dynamischen Programmierung getroffen werden. Im Falle einer einfachen Reaktion ist eine einfache graphische Darstellung moglich. Hauptgegenstand dieser Arbeit ist der Fall einer einfachen Reaktion, bei dem die Kosten proportional dem Kontaktvolumen und der abgefiihrten Reaktionswiirme sind. Es tird gezeigt, dass dieses einfache Model1 geniigt, urn eine Reihe allgemeiner Probleme au Ibsen.
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