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Full Product Details

Author:   Vincent Giovangigli
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1999 ed.
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.470kg
ISBN:  

9780817640484

ISBN 10:   0817640487
Pages:   321
Publication Date:   01 August 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. Introduction.- 2. Fundamental Equations.- 2.1. Introduction.- 2.2. Conservation equations.- 2.3. Thermodynamics.- 2.4. Chemistry.- 2.5. Transport fluxes.- 2.6. Entropy.- 2.7. Boundary conditions.- 2.8. Notes.- 2.9. References.- 3. Approximate and Simplified Models.- 3.1. Introduction.- 3.2. One-reaction chemistry.- 3.3. Small Mach number flows.- 3.4. Coupling.- 3.5. Notes.- 3.6. References.- 4. Derivation from the Kinetic Theory.- 4.1. Introduction.- 4.2. Kinetic framework.- 4.3. Kinetic entropy.- 4.4. Enskog expansion.- 4.5. Zero-order approximation.- 4.6. First-order approximation.- 4.7. Transport linear systems.- 4.8. Notes.- 4.9. References.- 5. Transport Coefficients.- 5.1. Introduction.- 5.2. Transport algorithms.- 5.3. Molecular parameters.- 5.4. Shear viscosity.- 5.5. Volume viscosity.- 5.6. Diffusion matrix.- 5.7. Thermal conductivity.- 5.8. Thermal diffusion ratios.- 5.9. Partial thermal conductivity.- 5.10. Thermal diffusion coefficients.- 5.11. Notes.- 5.12. References.- 6. Mathematics of Thermochemistry.- 6.1. Introduction.- 6.2. Thermodynamics with volume densities.- 6.3. Thermodynamics with mass densities.- 6.4. Chemistry sources.- 6.5. Positive equilibrium points.- 6.6. Boundary equilibrium points.- 6.7. Inequalities near equilibrium.- 6.8. A global stability inequality.- 6.9. Notes.- 6.10. References.- 7. Mathematics of Transport Coefficients.- 7.1. Introduction.- 7.2. Assumptions on transport coefficients.- 7.3. Properties of diffusion matrices.- 7.4. Properties of other coefficients.- 7.5. Diagonal diffusion.- 7.6. Diffusion inequalities.- 7.7. Stefan-Maxwell equations.- 7.8. Notes.- 7.9. References.- 8. Symmetrization.- 8.1. Introduction.- 8.2. Vector notation.- 8.3. Quasilinear form.- 8.4. Symmetrization and entropic variables.- 8.5. Normal forms.- 8.6. Symmetrization for multicomponent flows.- 8.7. Normal forms for multicomponent flows.- 8.8. Notes.- 8.9. References.- 9. Asymptotic Stability.- 9.1. Introduction.- 9.2. Governing equations.- 9.3. Local dissipative structure.- 9.4. Global existence theorem.- 9.5. Decay estimates.- 9.6. Local dissipativity for multicomponent flows.- 9.7. Global existence for multicomponent flows.- 9.8. Notes.- 9.9. References.- 10. Chemical Equilibrium Flows.- 10.1. Introduction.- 10.2. Governing equations.- 10.3. Entropy and symmetrization.- 10.4. Normal forms.- 10.5. Global existence.- 10.6. Notes.- 10.7. References.- 11. Anchored Waves.- 11.1. Introduction.- 11.2. Governing equations.- 11.3. First properties.- 11.4. Existence on a bounded domain.- 11.5. Existence of solutions.- 11.6. Notes.- 11.7. References.- 12. Numerical Simulations.- 12.1. Introduction.- 12.2. Laminar flame model.- 12.3. Computational considerations.- 12.4. Hydrogen-Air Bunsen flame.- 12.5. References.

Reviews

This book (written with originality by a recognized expert actively working in the title area) can be considered as an interdisciplinary presentation of multicomponent flow models, their mathematical properties, and selected numerical simulations!The book is well organized, clearly written, and can serve as a very useful reference book for specialists (circa 300 contemporary references) and as a good introduction to the subject for senior and graduate-level students in applied mathematics. --Zentralblatt Math

This book (written with originality by a recognized expert actively working in the title area) can be considered as an interdisciplinary presentation of multicomponent flow models, their mathematical properties, and selected numerical simulationsa ]The book is well organized, clearly written, and can serve as a very useful reference book for specialists (circa 300 contemporary references) and as a good introduction to the subject for senior and graduate-level students in applied mathematics. <p>a Zentralblatt Math

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