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Author Tian, Yu-Chu.

Title Computation of mathematical models for complex industrial processes / Yu-Chu Tian, Tonghua Zhang, Hongmei Yao, Moses O Tade
Published Hackensack, NJ : World Scientific Publishing Co. Inc., 2014
Online access available from:
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Description 1 online resource (xiv, 148 pages)
Series Advances in process systems engineering ; vol. 4
Advances in process systems engineering ; v. 4
Contents 1. Introduction. 1.1. Background. 1.2. Motivation. 1.3. Process modelling. 1.4. Model approximation. 1.5. Algorithm design and setup. 1.6. Interpretation of verification of computing results. 1.7. Book outline -- 2. Fundamentals of process modelling and model computation. 2.1. Building mathematical models. 2.2. General ODE and PDE models for industrial processes. 2.3. Examples of ODE and PDE process models. 2.4. Solutions of process models. 2.5. The Runge-Kutta methods. 2.6. Finite difference methods. 2.7. Wavelets-based methods. 2.8. High resolution methods -- 3. Finite difference methods for ordinary differential equation models. 3.1. Fermentation processes. 3.2. Biology of lysine synthesis. 3.3. Model construction. 3.4. Numerical approximations of fermentation models. 3.5. Simulation for Batch fermentation. 3.6. Simulation for Fed-Batch fermentation -- 4. Finite difference methods for partial differential equation models. 4.1. Continuous galvanizing processes. 4.2. Development of a PDE model. 4.3. Discrete state space model. 4.4. Stability analysis and parameter settings of the model. 4.5. Identification of model parameters. 4.6. Least-square algorithms for system identification. 4.7. Simplification of system identification algorithms. 4.8. Simulations and industrial applications -- 5. Wavelets-based methods. 5.1. Process modelling for chemical reactions. 5.2. Three versions of wavelet collocation methods. 5.3. Wavelet collocation method for reaction processes. 5.4. Model development for crystallization processes. 5.5. Wavelet Galerkin method for PDEs. 5.6. Solution based on wavelet Galerkin method -- 6. High resolution methods. 6.1. Column chromatographic separation processes. 6.2. Model development for column chromatography. 6.3. Analytical solution for linear equilibrium case. 6.4. Model discretization using high resolution methods. 6.5. The Alexander method for time integration. 6.6. Solutions to the chromatographic process model. 6.7. Crystallization and population balance equations. 6.8. Crystallization with pure size-independent growth. 6.9. Process with size-independent growth and nucleation -- 7. Comparative studies of numerical methods for SMB chromatographic processes. 7.1. Chromatographic separation processes. 7.2. Dynamic modelling of SMBC processes. 7.3. Numerical computation. 7.4. Case study I: Fructose-glucose separation. 7.5. Case study II: Bi-naphthol enantiomers separation. 7.6. Concluding remarks -- 8. Conclusion
Summary Designed for undergraduate and postgraduate students, academic researchers and industrial practitioners, this book provides comprehensive case studies on numerical computing of industrial processes and step-by-step procedures for conducting industrial computing. It assumes minimal knowledge in numerical computing and computer programming, making it easy to read, understand and follow. Topics discussed include fundamentals of industrial computing, finite difference methods, the Wavelet-Collocation Method, the Wavelet-Galerkin Method, High Resolution Methods, and comparative studies of various methods. These are discussed using examples of carefully selected models from real processes of industrial significance. The step-by-step procedures in all these case studies can be easily applied to other industrial processes without a need for major changes. Thus, they provide readers with useful frameworks for the applications of engineering computing in fundamental research problems and practical development scenarios
Bibliography Includes bibliographical references
Notes Print version record
Subject Mathematical models -- Industrial applications.
Form Electronic book
Author Tadé, Moses O.
Yao, Hongmei.
Zhang, Tonghua.
ISBN 1306941970 (electronic bk.)
9781306941976 (electronic bk.)
9789814360944 (electronic bk.)
9814360945 (electronic bk.)