SUFFICIENT CONDITIONS FOR THE EXISTENCE OF A UNIQUE AND STABLE EQUILIBRIUM STATE OF AN ADIABATIC TUBULAR REACTOR WITH RECYCLE

Abstract

A sufficient condition for the existence of a unique and stable equilibrium state of an adiabatic tubular reactor with recycle is derived from the necessary and sufficient condition for local stability presented in the previous paper14). Furthermore, the sufficient condition is reduced to relations between recycle ratio, a, and mixing parameter, PeB. This condition requires only simple algebraic calculations to obtain the regions of existence of a unique and stable equilibrium state instead of iterative numerical integrations required in searching the regions where the necessary and sufficient condition is satisfied. It is also shown that this condition contains the sufficient condition for the existence of a unique and stable equilibrium state of an adiabatic tubular reactor without recycle, presented by Luss and Amundson11), as a special case when a=O.