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Mathematical modeling in science and engineering : an axiomatic approach /
"Mathematical and computational modeling (MCM) can be used in a diverse set of applications making it a very appealing and potent modeling tool. This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, system...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hoboken, N.J. :
Wiley,
©2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 037 | |a 10.1002/9781118207239 |b Wiley InterScience |n http://www3.interscience.wiley.com | ||
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| 100 | 1 | |a Herrera, Ismael, |e author. | |
| 245 | 1 | 0 | |a Mathematical modeling in science and engineering : |b an axiomatic approach / |c Ismael Herrera, George F. Pinder. |
| 260 | |a Hoboken, N.J. : |b Wiley, |c ©2012. | ||
| 300 | |a 1 online resource (xiv, 243 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 505 | 0 | |a Front Matter -- Axiomatic Formulation of the Basic Models -- Mechanics of Classical Continuous Systems -- Mechanics of Non-Classical Continuous Systems -- Solute Transport by a Free Fluid -- Flow of a Fluid in a Porous Medium -- Solute Transport in a Porous Medium -- Multiphase Systems -- Enhanced Oil Recovery -- Linear Elasticity -- Fluid Mechanics -- Appendix A: Partial Differential Equations -- Appendix B: Some Results from the Calculus -- Appendix C: Proof of Theorem -- Appendix D: The Boundary Layer Incompressibility Approximation -- Appendix E: Indicial Notation -- Index. | |
| 500 | |a Includes index. | ||
| 520 | |a "Mathematical and computational modeling (MCM) can be used in a diverse set of applications making it a very appealing and potent modeling tool. This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering. This book focuses on the mathematical models, in which processes to be modeled are expressed as a system of partial differential equations. It introduces a systematic method for constructing such models, which can be applied to any macroscopic physical system. This latter feature of the Axiomatic Approach is very valuable when treating new systems, since it permits formulating the models of previously unknown systems. Using it, many of the systems of most common occurrence in engineering practice are introduced and discussed. The effectiveness of this approach is reflected in the broadness and importance of the subjects treated; they cover a great diversity of topics that are basic in many branches of engineering including: Civil Engineering, Mechanical Engineering, Petroleum Engineering, and Water Resources. These topics include: Flow of fluids and transport of solutes which are free to move in the physical space and where fluids may be restricted to move in a porous medium. The transport of solutes is fundamental in Environmental Engineering Water Resources and Petroleum Engineering since it is the means of predicting contaminant behavior. The porous medium based equations are also used to model Enhanced Oil Recovery which is very important for sustaining the oil supply of the world. Model of static and dynamic elasticity are used in several branches of engineering including Foundation and Seismic Engineering"--Provided by publisher. | ||
| 520 | |a "This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering"--Provided by publisher. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
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| 700 | 1 | |a Pinder, George Francis, |d 1942- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJfgYdtC6Kp7ctXvPX6qcP | |
| 758 | |i has work: |a Mathematical modeling in science and engineering (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGVhwwWvkMBfYcr8MJWyMP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Herrera, Ismael. |t Mathematical modeling in science and engineering. |d Hoboken, N.J. : Wiley, ©2012 |z 9781118087572 |w (DLC) 2011036329 |w (OCoLC)748330599 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=817872 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 7.1 Basic model for the flow of multiple-species transport in a multiple-fluid- phase porous medium -- 7.2 Modeling the transport of species i in phase α -- 7.3 The saturated flow case -- 7.4 The air-water system -- 7.5 The immobile air unsaturated flow model -- 7.6 Boundary conditions -- 7.7 Summary -- Exercises -- References -- 8 ENHANCED OIL RECOVERY -- 8.1 Background on oil production and reservoir modeling -- 8.2 Processes to be modeled -- 8.3 Unified formulation of EOR models -- 8.4 The black-oil model -- 8.5 The Compositional Model -- 8.6 Summary -- Exercises -- References -- 9 LINEAR ELASTICITY -- 9.1 Introduction -- 9.2 Elastic Solids -- 9.3 The Linear Elastic Solid -- 9.4 A More on the Displacement Field Decomposition -- 9.5 Strain Analysis -- 9.6. Stress Analysis -- 9.7 Isotropic materials -- 9.8 Stress-strain relations for isotropic materials -- 9.9 The governing differential equations -- 9.9.1 Elastodynamics -- 9.9.2 Elastostatics -- 9.10 Well-posed problems -- 9.10.1 Elastostatics -- 9.10.2 Elastodynamics -- 9.11 Representation of solutions for isotropic elastic solids -- 9.12 Summary -- Exercises -- References -- 10 FLUID MECHANICS -- 10.1 Introduction -- 10.2 Newtonian fluids: Stokes' constitutive equations -- 10.3 Navier-Stokes equations -- 10.4 Complementary constitutive equations -- 10.5 The concepts of incompressible and inviscid fluids -- 10.6 Incompressible fluids -- 10.7 Initial and boundary conditions -- 10.8 Viscous incompressible fluids: steady states -- 10.9 Linearized theory of incompressible fluids -- 10.10 Ideal fluids -- 10.11 Irrotational flows -- 10.12 Extension of Bernoulli's relations to compressible fluids -- 10.13 Shallow-water theory -- 10.14 Inviscid compressible fluids -- 10.14.1 Small perturbations in a compressible fluid: the theory of sound -- 10.14.2 Initiation of motion. | |
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