Numerical Techniques for Chemical and Biological Engineers Using MATLAB (R): A Simple Bifurcation Approach by Said S. E. H. Elnashaie, Frank Uhlig, Chadia Affane
This interdisciplinary book presents numerical techniques needed for chemical and biological engineers using Matlab. The book begins by exploring general cases, and moves on to specific ones. The text includes a large number of detailed illustrations, exercises and industrial examples.
The book provides detailed mathematics and engineering background in the appendixes, including an introduction to Matlab. The text will be useful to undergraduate students in chemical/biological engineering, and in applied mathematics and numerical analysis.
This book is interdisciplinary, involving two relatively new fields of human endeavor. The two fields are: Chemical/Biological1 Engineering and Numerical Mathematics. How do these two disciplines meet? They meet through mathematical modeling.
Mathematical modeling is the science or art of transforming any macro-scale or microscale problem to mathematical equations. Mathematical modeling of chemical and biological systems and processes is based on chemistry, biochemistry, microbiology, mass diffusion, heat transfer, chemical, biochemical and biomedical catalytic or biocatalytic reactions, as well as noncatalytic reactions, material and energy balances, etc.
As soon as the chemical and biological processes are turned into equations, these equations must be solved efficiently in order to have practical value. Equations are usually solved numerically with the help of computers and suitable software.
Almost all problems faced by chemical and biological engineers are nonlinear. Most
if not all of the models have no known closed form solutions. Thus the model equations generally require numerical techniques to solve them. One central task of chemical/biological engineers is to identify the chemical/biological processes that take place within the boundaries of a system and to put them intelligently into the form of equations by utilizing justifiable assumptions and physico-chemical and biological laws. The best and most modern classification of different processes is through system theory. The models can be formed of steady-state design equations used in the design (mainly sizing and optimization), or unsteady-state (dynamic) equations used in start-up, shutdown,
and the design of control systems. Dynamic equations are also useful to investigate the
bifurcation and stability characteristics of the processes.
The complexity of the mathematical model depends upon the degree of accuracy required and on the complexity of the interaction between the different processes taking place within the boundaries of the system and on the interaction between the system and its surrounding. It is an important art for chemical/biological engineers to reach an optimal degree of sophistication (complexity) for the system model. By “optimal degree of sophistication” we mean finding a model for the process, which is as simple as possible without sacrificing the required accuracy as dictated by the specific practical application
Buy: Numerical Techniques for Chemical and Biological Engineers Using MATLAB (R): A Simple Bifurcation Approach Hardcover – Import, 18 Dec 2006 by Said S. E. H. Elnashaie (Author), Frank Uhlig (Author), Chadia Affane (Assistant)
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