Dynamic modeling of transport process systems. (©1992)
- Record Type:
- Book
- Title:
- Dynamic modeling of transport process systems. (©1992)
- Main Title:
- Dynamic modeling of transport process systems
- Further Information:
- Note: C.A. Silebi, W.E. Schiesser.
- Other Names:
- Silebi, C. A
Schiesser, W. E - 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 LongFront 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. … (more)
- Publisher Details:
- San Diego : Academic Press
- Publication Date:
- 1992
- Copyright Date:
- 1992
- Extent:
- 1 online resource (xiii, 518 pages), illustrations
- Subjects:
- 660/.2842/011
Chemical processes -- Mathematical models
Transport theory -- Mathematical models
Chemical processes
Mathematical models
SCIENCE -- Chemistry -- Industrial & Technical
TECHNOLOGY & ENGINEERING -- Chemical & Biochemical
Chemical processes -- Mathematical models
Transport theory -- Mathematical models
Transportverschijnselen
Transportvergelijkingen
Numerieke methoden
Differentiaalvergelijkingen
Dynamisches System
Mathematisches Modell
Stoffübertragung
Transportprozess
Wärmeübertragung
Electronic books - Languages:
- English
- ISBNs:
- 9780080925820
0080925820 - Related ISBNs:
- 0126434204
9780126434200 - Notes:
- Note: Includes bibliographical references and index.
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- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- British Library HMNTS - ELD.DS.37084
- Ingest File:
- 01_031.xml