Invariant imbedding, iterative linearization, and multistage countercurrent processes

✍ Scribed by E. Stanley Lee

• Publisher: American Institute of Chemical Engineers
• Year: 1970
• Tongue: English
• Weight: 812 KB
• Volume: 16
• Category: Article
• ISSN: 0001-1541
• DOI: 10.1002/aic.690160428

✦ Synopsis

Abstract

The equations for multistage countercurrent operations are difference equations of the boundary‐value type, which are generally solved by trial and error or iterative procedures. The invariant imbedding concept is used to solve these boundary‐value problems as initial‐value problems. It is shown that by the combined use of invariant imbedding and iterative linearization, a sequence of estimator equations for the missing terminal conditions is obtained. These estimator equations can be used to obtain the desired terminal conditions and the number of stages required to perform a specified separation.