Off-campus UNL users: To download campus access dissertations, please use the following link to log into our proxy server with your NU ID and password. When you are done browsing please remember to return to this page and log out.
Non-UNL users: Please talk to your librarian about requesting this dissertation through interlibrary loan.
A recursive Taylor series approach for the simulation, optimization, and control of chemical processes
Abstract
Nonlinear problems arise frequently in the design, optimization, and control of chemical processes. A large fraction of these problems requires complex algorithms to obtain the solutions. Examples of these problems include stiff differential equations, differential-algebraic equations, delay-differential equations, large systems of nonlinear algebraic equations, nonlinear programming problems, and boundary-value problems. The chemical engineer usually depends on specialized software packages which offer limited flexibility and insight. Furthermore, different types of problems are solved with algorithms which do not share a common technique. In this work, techniques have been developed which transform the nonlinear problems into a system of differential equations. The solution of the problems is obtained by integrating the differential equations using a recursive Taylor series method. It is shown that most of the difficult problems of current interest in chemical engineering can be solved efficiently and accurately with this approach. Since the developed methods make use of only linear algebraic techniques, they are suitable for solving large-scale problems. To verify the methods, a comprehensive set of test problems taken from the chemical engineering literature have been solved.
Subject Area
Chemical engineering
Recommended Citation
Quan, Jose Raul, "A recursive Taylor series approach for the simulation, optimization, and control of chemical processes" (1992). ETD collection for University of Nebraska-Lincoln. AAI9314431.
https://digitalcommons.unl.edu/dissertations/AAI9314431