Multicomponent Flow Modeling by Vincent Giovangigli.

The goal of this is book to give a detailed presentation of multicomponent flow models and to investigate the mathematical structure and properties of the resulting system of partial differential equations. These developments are also illustrated by simulating numerically a typical laminar flame. Ou...

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Bibliographic Details
Main Author:	Giovangigli, Vincent (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1999.
Edition:	1st ed. 1999.
Series:	Modeling and Simulation in Science, Engineering and Technology, Springer eBook Collection.
Subjects:	Applied mathematics. Engineering mathematics. Mathematics. Electronic resources (E-books)
Online Access:	Click to view e-book
Holy Cross Note:	Loaded electronically. Electronic access restricted to members of the Holy Cross Community.

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.

Multicomponent Flow Modeling by Vincent Giovangigli.

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