On the Modified θ Method

Abstract

It has been wellknown that the θ method by Lyster has often applied to solve the operational problem of multicomponent distillation. This method, using the correction parameter z, has been recently developed to non-ideal systems by Hirose and his coworker.
Discussing the convergence process of θ method by the geometrical consideration, the authors have shown the reason for the inconsistency of convergence depending on the nonideality, and have proposed the modified θ method by meams of “Regula-Falsi” method to obtain the converged solution, which requires less iteration number than other method.