Accession Number : AD0660355

Title :   OPTIMIZATION OF COUNTERCURRENT STAGED PROCESSES.

Descriptive Note : Interim technical rept.,

Corporate Author : CASE INST OF TECH CLEVELAND OHIO CHEMICAL ENGINEERING SCIENCE GROUP

Personal Author(s) : Brosilow,Coleman B. ; Tanner,Robert D.

Report Date : 1967

Pagination or Media Count : 129

Abstract : Methods for computing and optimizing countercurrent staged processes, such as distillation, are developed and analyzed. The model is expressed in the form of non-linear difference equations with boundary conditions at both ends of the system. This two-point boundary value problem is solved by first imbedding it into an initial value problem, and then using linear implicit integration techniques for computation. Simple criteria are developed which, when met, guarantee both stability and convergence of these algorithms. After the computational schemes are developed, they are applied to the optimization problem. In order to avoid the difficulties of integer programming, the integer variables describing the feed location and total length are parameterized. When the independent variables are all in continuous form, gradient and Lagrangian non-linear programming methods are brought to bear on the problem. Necessary conditions for testing the optimal feed location and length are developed with maximum principle arguments. The 'q-line' equation for binary systems is generalized for the multicomponent case. (Author)

Descriptors :   (*CHEMICAL ENGINEERING, OPTIMIZATION), (*DISTILLATION, OPTIMIZATION), INDUSTRIAL PRODUCTION, INDUSTRIAL EQUIPMENT, MATHEMATICAL MODELS, DIFFERENCE EQUATIONS, NONLINEAR PROGRAMMING, BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION

Subject Categories : Industrial Chemistry and Chemical Processing

Distribution Statement : APPROVED FOR PUBLIC RELEASE