Kinetic theory of gases in shear flows : nonlinear transport /
Saved in:
| Author / Creator: | Garzó, Vicente. |
|---|---|
| Imprint: | Dordrecht ; Boston : Kluwer Academic Publishers, c2003. |
| Description: | xxxix, 319 p. : ill. ; 25 cm. |
| Language: | English |
| Series: | Fundamental theories of physics v. 131 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5038078 |
Table of Contents:
- List of Figures
- List of Tables
- Foreword
- Acknowledgments
- Introduction
- 1.. Kinetic Theory of Dilute Gases
- 1. Introduction
- 2. Derivation of the Boltzmann equation
- 3. General properties of the Boltzmann equation. H-theorem
- 4. Chapman-Enskog expansion
- 5. Boltzmann equation for gas mixtures
- 6. Kinetic models for a single gas
- 7. Kinetic models for gas mixtures
- 2.. Solution of the Boltzmann Equation for Uniform Shear Flow
- 1. Introduction
- 2. The Boltzmann equation for uniform shear flow
- 3. Moment equations for a gas of Maxwell molecules. Rheological properties
- 4. Third- and fourth-degree velocity moments
- 5. Singular behavior of the velocity moments
- 6. Perturbation expansion of the distribution function
- 7. Nonequilibrium entropy
- 3.. Kinetic Model for Uniform Shear Flow
- 1. Introduction
- 2. The BGK equation for uniform shear flow. Maxwell molecules
- 3. Power-law repulsive potentials. Hard spheres
- 3.1. Velocity distribution function
- 3.2. Rheological properties
- 4. The thermostatted state
- 5. Nonequilibrium entropy of the thermostatted state
- 6. Small perturbations from the thermostatted state
- 7. Heat transport under uniform shear flow
- 7.1. Boltzmann description for Maxwell molecules
- 7.2. BGK description for general interactions
- 7.3. Heat flux induced by an external force
- 8. Stability of the uniform shear flow
- 8.1. Theoretical analysis
- 8.2. Monte Carlo simulations
- 4.. Uniform Shear Flow in a Mixture
- 1. Introduction
- 2. Maxwell molecules
- 2.1. Transient regime
- 2.2. Rheological properties
- 3. General repulsive interactions
- 3.1. Rheological properties
- 3.2. Velocity distribution functions
- 4. Nonequilibrium phase transition in the tracer limit
- 5. Generalized diffusion and Dufour coefficients
- 5.1. Diffusion tensor
- 5.2. Dufour tensor
- 5.. Planar Couette Flow in a Single Gas
- 1. Introduction
- 2. Hydrodynamic description
- 3. The Boltzmann equation for the planar Couette flow
- 4. BGK kinetic model description
- 4.1. Generalized transport coefficients
- 4.2. Velocity distribution function
- 5. Nonequilibrium entropy of the Couette flow
- 6. Other kinetic theories
- 7. Comparison with computer simulations
- 6.. Planar Couette Flow in a Mixture
- 1. Introduction
- 2. Kinetic model description for a mixture
- 3. Application to the case of a binary mixture
- 4. Diffusion and mobility in the tracer limit
- Appendices
- List of symbols
- References
- Index
