This study presents a new method for mathematical simulation of equilibrium stage operations.
The procedure solves component material equations with Thomas algorithm and induces to θ-method in order to decrease error.
Summation equations are handled ...
This study presents a new method for mathematical simulation of equilibrium stage operations.
The procedure solves component material equations with Thomas algorithm and induces to θ-method in order to decrease error.
Summation equations are handled with Newton-Raphson method. Therefore, the method can be used for all types of equilibrium stage processes.
Additionally, the use of the method presented in this study insures solutions which are stable and more rapid without complexibility.
In order to validate the proposed method, the results comparing rigorous method with short-cut method are as follows;
1) convergence is stable and more rapid than others.
2) about 10% error in distillate and bottoms composition of each component.
3) about 13% error in total theoretical number of plates.
4) about 17% error in the feed plate.
5) the procedures are presented for calculations to design distillation column.