Analytical methods for problems of molecular transport
著者
書誌事項
Analytical methods for problems of molecular transport
(Fluid mechanics and its applications, 83)
Springer, c2007
大学図書館所蔵 件 / 全4件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
内容説明・目次
内容説明
This book is a superb tool in virtually all application areas involving the Kinetic Theory of Gases, Rarefied Gas Dynamics, Transport Theory, and Aerosol Mechanics. It has been especially designed to serve a dual function, both as a teaching instrument either in a classroom environment or at home, and as a reference for scientists and engineers working in the fields of Rarefied Gas Dynamics and Aerosol Mechanics.
目次
- Contents
- Table of Tables
- Table of Figures
- Preface
- Acknowledgments
- Chapter 1. The General Description of a Rarefied Gas: 1. Some Introductory Remarks
- 2. Density and Mean Motion
- 3. The Distribution Function of Molecular Velocities
- 4. Mean Values ofFunctions of Molecular Velocities
- 5. Transport of Molecular Properties
- 6. The Pressure Tensor
- 7. The Hydrostatic Pressure
- 8. The Amount of Heat
- 9. The Kinetic Temperature
- 10. The Equation of State for a Perfect Gas
- 11. The Thermal Flux Vector
- 12. Summary
- Problems
- References
- Chapter 2. The Boltzmann Equation
- 1. Derivation of the Boltzmann Equation
- 2. The Moment Equations
- 3. Another Form of the Moment Equations
- 4. The Equations for a Continuum Medium
- 5. Molecular Encounters
- 6. The Relative Motion of Two Molecules
- Problems
- References
- Chapter 3. The Collision Operator
- 1. The Differential and Total Scattering Cross Sections
- 2. The Statistics of Molecular Encounters
- 3. The Transformation of Some Integrals
- Problems
- References
- Chapter 4. The Uniform Steady-State of a Gas
- 1. The Boltzmann H-Theorem
- 2. The Maxwellian Velocity Distribution
- 3. The Mean Free Path of a Molecule
- Problems
- References
- Chapter 5. The Non-Uniform State for a Simple Gas
- 1. Expansion in Powers of a Small Parameter
- 2. The First Approximation
- 3. A General Formal Solution for the Second Correction
- 4. The Transformation of the Non-Homogeneous Term
- 5. The Second Approximation
- 6. The First-Order Chapman-Enskog Solution for Thermal Conduction
- 7. The First-Order Chapman-Enskog Solution for Viscosity
- 8. The Thermal Conductivity and Viscosity Coefficients
- 9. The First-Order Approximation for Arbitrary Intermolecular Potential
- 10. The Second-Order Approximation for Arbitrary Intermolecular Potential
- Problems
- References
- Chapter 6. Regimes of Rarefied Gas Flows
- 1. The Knudsen Number
- 2. A General Analysis of the Different Gas Flow Regimes
- 3. The Boundary Conditions
- 4. The Boundary Dispersion Kernel
- 5. Features of the Boundary Conditions for Small Knudsen number
- Problems
- References
- Chapter 7. The Free-Molecular Regime
- 1. The Free-Molecular Distribution Function
- 2. The Force on a Particle in a Uniform Gas Flow
- 3. Calculation ofMacroscopic Values in the Free-Molecular Regime
- 4. Thermophoresis of Particles in the Free-Molecular Regime
- 5. Condensation on a Spherical Droplet
- 6. Non-Stationary Gas Flows
- Problems
- References
- Chapter 8. Methods of Solution of Planar Problems
- 1. Maxwell's Method
- 2. Loyalka's Method
- 3. The Half-Range Moment Method
- 4. Features of the Boundary Conditions for the Moment Equations
- 5. Solution of the Thermal-Creep Problem by the Half-Range Moment Method
- 6. Influence of the Boundary Models on the Thermal-Creep Coefficient
- Problems
- References
- Chapter 9. The Variational Method for the Planar Geometry
- 1. Another Form of the Boltzmann Equation
- 2. The Variational Technique for the Slip-Flow Problem
- 3. Discussion of the Slip-Flow Results
- 4. The Variational Solution for the Thermal-Creep Problem
- 5. Discussion of the Thermal-Creep Results
- 6. Slip-Flow and Temperature-jump Coefficients for the Lennard-Jones (6-12)
- Potential Model
- Problems
- References
- Chapter 10. The Slip-Flow Regime
- 1. Basic Equations
- 2. The Spherical Drag Problem
- 3. The Thermal Force Problem
- Problems
- References
- Chapter 11. Boundary Value Problems for All Knudsen Numbers
- 1. The Moment Equations in Arbitrary Curvilinear Coordinates
- 2. The Two-Sided Maxwellian Distribution Functions
- 3. Moments of Discontinuous Distribution Functions
- 4. Analytical Expressions for the Bracket Integrals
- 5. Boundary Conditions for Moment Equations
- 6. Thermal Conduction from a Heated Sphere
- 7. Method of the 'Smoothed' Distribution Function
- 8. The Polynomial Expansion Method
- 9. Solution of One Classic Transport Problem. 10. A Simplification of Moment Systems for Curvilinear Problems. 11. The Torque Problem
- Problems
- References
- Chapter 12. Boundary Slip Phenomena in a Binary Gas Mixture
- 1. The First-Order Chapman-Enskog Approximation for a Binary Gas Mixture
- 2. The Transport Coefficients for a Binary Gas Mixture
- 3. The Second-Order Chapman-Enskog Approximation for a Binary Gas Mixture
- 4. Analytical Methods of Solution for Planar Boundary Value Problems Involving Binary Gas Mixtures
- 5. The Slip Coefficients for a Binary Gas Mixture
- 6. Discussion of the Slip Coefficient Results
- Problems
- References
- Appendix 1. Bracket Integrals for the Planar Geometry
- 1. Bracket Integrals Involving Two Sonine Polynomials
- 2. Bracket Integrals Containing Several Components of Molecular Velocity
- 3. Bracket Integrals Containing Two Discontinuous Functions
- 4. Bracket Integrals Containing One Discontinuous Function
- References
- Appendix 2. Bracket Integrals for Curvilinear Geometries
- 1. The Special Function of the First Kind for the Spherical Geometry
- 2. The Special Function of the Second Kind for the Spherical Geometry
- 3. The Special Function of the First Kind for the Cylindrical Geometry
- 4. The Special Function ofthe Second Kind for the Cylindrical Geometry
- 5. Approximate Expressions for the Special Functions
- References
- Appendix 3. Bracket Integrals for Polynomial Expansion Method
- 1. Calculation of the Bracket Integrals of the First Kind
- 2. Analytical Expressions for the Bracket Integrals of the Second Kind
- References
- Appendix 4. The Variational Principle for Planar Problems
- 1. Some Definitions and Properties for Integral Operators
- 2. The Variational Principle
- References
- Appendix 5. Some Definite Integrals
- 1. Some Frequently Encountered Integrals
- 2. Some Integrals Encountered in Boundary Problems
- 3. Some Integrals Connected with the Second-Order Chapman-Enskog Solution
- 4. Some Integrals Connected with Non-Linear Transport Problems
- Appendix 6. Omega-Integrals for Second-Order Approximation
- References
- Author Index
- Subject Index
「Nielsen BookData」 より