Screen LibraryDynamic modeling of transport process systems /
This book presents a methodology for the development and computer implementation of dynamic models for transport process systems. Rather than developing the general equations of transport phenomena, it develops the equations required specifically for each new example application. These equations are...
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| Main Authors: | |
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| Corporate Authors: | |
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| Published: |
Academic Press,
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| Publisher Address: | San Diego : |
| Publication Dates: | 1992. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780126434200 |
| Summary: |
This book presents a methodology for the development and computer implementation of dynamic models for transport process systems. Rather than developing the general equations of transport phenomena, it develops the equations required specifically for each new example application. These equations are generally of two types: ordinary differential equations (ODEs) and partial differential equations (PDEs) for which time is an independent variable. The computer-based methodology presented is general purpose and can be applied to most applications requiring the numerical integration of initial-value ODEs/PDEs. A set of approximately two hundred applications of ODEs and PDEs developed by the authors are listed in Appendix 8. |
| Carrier Form: | 1 online resource (xiii, 518 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9780080925820 0080925820 |
| Index Number: | TP155 |
| CLC: | TQ02 |
| Contents: |
Front Cover; Dynamic Modeling of Transport Process Systems; Copyright Page; Table of Contents; Preface; Chapter 1. The Nature of Dynamic Systems; 1.1 The Origin of Differential Equations; 1.2 Well-Posed Problems; 1.3 Analytical and Numerical Solutions; 1.4 Qualitative Characteristics of Solutions; 1.5 Principles for Models; Additional Reading; Problems; Chapter 2. Basic Concepts in the Numerical Integration of Ordinary Differential Equations; 2.1 Euler's Method; 2.2 Analyzing the Error in Numerical Solutions; 2.3 Higher-Order Integration Algorithms; 2.4 Error Estimation. 2.5 The Steady State as a Special CaseAdditional Reading; Problems; Chapter 3. Accuracy in the Numerical Integration of Ordinary Differential Equations; 3.1 Notation for ODEs; 3.2 Taylor Series Analysis of Euler's Method; 3.3 Error Monitoring and Control; 3.4 Fortran Implementation of Integration Algorithms; 3.5 Runge-Kutta Algorithms; 3.6 Concluding Linear Example; Additional Reading; Problems; Chapter 4. Stability in the Numerical Integration of Ordinary Differential Equations; 4.1 A Model ODE Problem; 4.2 Stability Analysis of Euler's Method; 4.3 The ODE Eigenvalue Problem. 4.4 Explicit and Implicit Algorithms4.5 The BDF Methods; 4.6 The LSODE and DASSL Integrators; Additional Reading; Problems; Chapter 5. Systems Modeled by Ordinary Differential Equations; 5.1 Conservation Principles, Transport Equations, and Equations of State; 5.2 A Nonisothermal Holding Tank; 5.3 Two Holding Tanks with a Long Connecting Line; 5.4 A CSTR with Multiple Reactions; 5.5 Control of a Batch Distillation Column; 5.6 Control of a Double-Effect Evaporator; 5.7 Countercurrent Liquid-Liquid Extractor for a Partially Miscible System; 5.8 An Application from the Ultimate Chemical Plant. ProblemsChapter 6. Systems Modeled by First Order Partial Differential Equations; 6.1 A Single-Pass Shell and Tube Heat Exchanger; 6.2 First Order Convective (Hyperbolic) PDEs; 6.3 A Four-Pass Shell and Tube Heat Exchanger; 6.4 Convective Cooling of a Polymer Sheet; 6.5 Tubular Catalytic Reactor; 6.6 A Packed Humidification Column; 6.7 The Numerical Method of Lines; Additional Reading; Problems; Chapter 7. Systems Modeled by Second Order Partial Differential Equations; 7.1 Generalization of the Numerical Method of Lines; 7.2 Fourier's Second Law in Cartesian Coordinates. 7.3 Fourier's Law in Cylindrical and Spherical Coordinates7.4 Nonlinear Boundary Conditions; 7.5 Nonlinearities in Derivatives; 7.6 Adsorption and Diffusion in a Pore; Additional Reading; Problems; Chapter 8. Systems Modeled by First/Second Order, Multidimensional and Multidomain Partial Differential Equations; 8.1 Fourth Order Formulas for First Derivatives; 8.2 Fourth Order Formulas for Second Derivatives; 8.3 Orthogonal Collocation in One, Two, and Three Dimensions; 8.4 Hyperbolic-Parabolic PDEs; 8.5 Temperatures in a Nuclear Fuel Rod Assembly; 8.6 Two Dimensional Tubular Reactor. |