UID:
almahu_9949983233902882
Umfang:
1 online resource (495 p.)
ISBN:
1-281-91124-0
,
9786611911249
,
0-08-092292-9
Serie:
Advances in chemical engineering, v. 34
Inhalt:
The cross-fertilization of physico-chemical and mathematical ideas has a long historical tradition. This volume of Advances in Chemical Engineering is almost completely dedicated to a conference on "Mathematics in Chemical Kinetics and Engineering? (MaCKiE-2007), which was held in Houston in February 2007, bringing together about 40 mathematicians, chemists, and chemical engineers from 10 countries to discuss the application and development of mathematical tools in their respective fields.* Updates and informs the reader on the latest research findings using original reviews
Anmerkung:
Description based upon print version of record.
,
Front cover; Advances in chemical engineering; Copyright page; Contents; Contributors; Preface; Chapter 1. Effective Dispersion Equations for Reactive Flows with Dominant Péclet and Damkohler Numbers; 1. Introduction; 2. Non-Dimensional Form of the Problem and Statement of the Results; 3. Derivation of the Effective Models in the Non-Dimensional Form; 4. Numerical Tests; 5. Conclusions and Perspectives; Acknowledgements; References; Chapter 2. Overall Reaction Rate Equation of Single-Route Complex Catalytic Reaction in Terms of Hypergeometric Series; 1. Introduction
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2. Rigorous Analysis of Complex Kinetic Models: Non-Linear Reaction Mechanisms3. Reaction Rate Approximations; 4. Discussion and Conclusions; References; Appendix 1. Reaction Overall Rate Equations for Linear Mechanisms; Appendix 2. Computer Generated ''Brackets'' for 4th Degree Polynomial; Appendix 3. Proof of Proposition 3.; Appendix 4. Thermodynamic Branch is Feasible; Appendix 5. Sturmfels Series Coincides with the Birkeland Series for the Case of ''Thermodynamic Branch''; Chapter 3. Dynamic and Static Limitation in Multiscale Reaction Networks, Revisited; 1. Introduction
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2. Static and Dynamic Limitation in a Linear Chain and a Simple Catalytic Cycle3. Multiscale Ensembles and Finite-Additive Distributions; 4. Relaxation of Multiscale Networks and Hierarchy of Auxiliary Discrete Dynamical Systems; 5. The Reversible Triangle of Reactions: The Simple Example Case Study; 6. Three Zero-One Laws and Nonequilibrium Phase Transitions in Multiscale Systems; 7. Limitation in Modular Structure and Solvable Modules; 8. Conclusion: Concept of Limit Simplification in Multiscale Systems; Acknowledgement; References
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Appendix1. Estimates of Eigenvectors for Diagonally Dominant Matrices with Diagonal Gap ConditionAppendix 2. Time Separation and Averaging in Cycles; Chapter 4. Multiscale Theorems; 1. Introduction; 2. Derivatives; 3. Indicator Functions; 4. Integration Theorems; 5. Averaging Theorems; 6. Applications in Transport-Phenomena Modeling and Scaling; 7. Concluding Remarks; Acknowledgements; References; Subject Index; Contents of Volumes in this Serial
,
English
Weitere Ausg.:
ISBN 0-12-374506-3
Sprache:
Englisch
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