Flows and Chemical Reactions

Name: Flows and Chemical Reactions
Brand: Wiley-ISTE
Price: 160.99 EUR
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Roger Prud'homme(Autor*in)

Wiley-ISTE (Verlag)

Erschienen am 9. Januar 2013

352 Seiten

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Cover
Flows and Chemical Reactions
Title Page
Copyright Page
Table of Contents
Preface
List of the Main Symbols
Chapter 1. Simple Fluids
1.1. Introduction
1.2. Key elements in deformation theory - Lagrangian coordinates and Eulerian coordinates
1.2.1. Strain rates
1.2.2. Lagrangian coordinates and Eulerian coordinates
1.2.3. Trajectories, stream lines, emission lines
1.3. Key elements in thermodynamics. Reversibility, irreversible processes: viscosity, heat conduction
1.3.1. Thermodynamic variables, definition of a system, exchanges, differential manifold of equilibrium states, transformation
1.3.2. Laws of thermodynamics
1.3.3. Properties of simple fluids at equilibrium
1.4. Balance equations in fluid mechanics. Application to incompressible and compressible perfect fluids and viscous fluids
1.4.1. Mass balance
1.4.2. Concept of a particle in a continuous medium: local state
1.4.3. Balance for the property F
1.4.4. Application to volume, to momentum and to energy
1.4.5. Entropy balance and the expression of the rate of production of entropy
1.4.6. Balance laws for discontinuity
1.4.7. Application to incompressible perfect fluids
1.4.8. Application to dissipative fluids
1.5. Examples of problems with 2D and 3D incompressible perfect fluids
1.5.1. Planar 2D irrotational flows: description in the complex plane of steady flows
1.5.2. 3D irrotational flows of incompressible perfect fluids: source, sink, doublet
1.5.3. Rotational flows of incompressible perfect fluids
1.6. Examples of problems with a compressible perfect fluid: shockwave, flow in a nozzle, and characteristics theory
1.6.1. General theorems
1.6.2. Propagation of sound in an ideal gas
1.6.3. Discontinuities
1.6.4. Unsteady characteristics
1.6.5. Steady normal shockwave: Hugoniot and Prandtl relations
1.6.6. Flow in a de Laval nozzle
1.6.7. Simple wave
1.7. Examples of problems with viscous fluids
1.7.1. General equations
1.7.2. Incompressible viscous fluid
1.7.3. Flow of a compressible dissipative fluid: structure of a shockwave
1.8. Exercises
1.8.1. Exercises in kinematics (section 1.2)
1.8.2. Exercises in thermodynamics (section 1.3)
1.8.3. Exercises for the balance equations in fluid mechanics (section 1.4)
1.8.4. Examples of problems with 2D and 3D incompressible perfect fluids (section 1.5)
1.8.5. Examples of problems with a compressible perfect fluid (section 1.6)
1.8.6. Examples of problems with viscous fluids (section 1.7)
1.9. Solutions to the exercises
1.9.1. Solutions to the exercises in kinematics
1.9.2. Solutions to the Exercises in thermodynamics
1.9.3. Solutions to the exercises for the balance of equations in fluid mechanics
1.9.4. Solutions to the examples of problems with 2D and 3D incompressible perfect fluids
1.9.5. Solutions to the examples of problems with a compressible perfect fluid
1.9.6. Solutions to the examples of problems with viscous fluids
Chapter 2. Reactive Mixtures
2.1. Introduction
2.2. Equations of state
2.2.1. Definition of the variables of state of a mixture
2.2.2. Thermodynamic properties of mixtures
2.2.3. Reactive mixture
2.2.4. Other issues relating to the thermodynamics of mixtures
2.3. Balance equations of flows of reactive mixtures
2.3.1. Balance of mass of the species j and overall balance of mass
2.3.2. General balance equation of a property F
2.3.3. Momentum balance
2.3.4. Energy balance
2.3.5. Balance relations in a discrete system
2.3.6. Entropy balance in a continuum
2.3.7. Balance equations at discontinuities in continuous media
2.4. Phenomena of transfer and chemical kinetics
2.4.1. Introduction
2.4.2. Presentation of the transfer coefficients by linear TIP
2.4.3. Other presentations of the transfer coefficients
2.4.4. Elements of chemical kinetics
2.5. Couplings
2.5.1. Heat transfer and diffusion
2.5.2. Shvab-Zeldovich approximation
Chapter 3. Interfaces and Lines
3.1. Introduction
3.1.1. Interfaces
3.1.2. Lines
3.2. Interfacial phenomena
3.2.1. General aspects
3.2.2. General form of an interfacial balance law
3.2.3. Constitutive laws for interfaces whose variables directly satisfy the classical equations in thermostatics and in 2D-TIP
3.2.4. Constitutive laws for interfaces deduced from classical thermostatics and 3D-TIP. Stretched flame example
3.2.5. Interfaces manifesting resistance to folding
3.2.6. Numerical modeling
3.2.7. Interfaces and the second gradient theory
3.2.8. Boundary conditions of the interfaces
3.2.9. Conclusion
3.3. Solid and fluid curvilinear media: pipes, fluid lines and filaments
3.3.1. General aspects
3.3.2. Establishing the balance equations in a curvilinear medium
3.3.3. Simplified theories
3.3.4. Triple line and second gradient theory
3.3.5. Conclusion
3.4. Exercises
3.4.1. Exercises regarding solid curvilinear media
3.4.2. Exercises regarding fluid curvilinear media
3.5. Solutions to the exercises
3.5.1. Solutions to exercises regarding solid curvilinear media
3.5.2. Solutions to the exercises regarding fluid curvilinear media
APPENDICES
Appendix 1. Tensors, Curvilinear Coordinates, Geometry and Kinematics of Interfaces and Lines
A1.1. Tensor notations
A1.1.1. Tensors and operations on tensors
A1.2. Orthogonal curvilinear coordinates
A1.2.1. General aspects
A1.2.2. Curl of a vector field
A1.2.3. Divergence of a vector field
A1.2.4. Gradient of a scalar
A1.2.5. Laplacian of a scalar
A1.2.6. Differentiation in a curvilinear basis
A1.2.7. Divergence of a second order tensor P
A1.2.8. Gradient of a vector
A1.2.9. Cylindrical coordinates and spherical coordinates
A1.3. Interfacial layers
A1.3.1. Prevailing directions of an interfacial medium
A1.3.2. Operators of projection for interfaces
A1.3.3. Surface gradients of a scalar field
A1.3.4. Curvature vector of a curve (Ci)
A1.3.5. Normal and tangential divergences of a vector field
A1.3.6. Extension of surface per unit length
A1.3.7. Average normal curvature of a surface
A1.3.8. Breakdown of the divergence of a vector field
A1.3.9. Breakdown of the Laplacian of a scalar field
A1.3.10. Breakdown of the divergence of a second order tensor
A1.3.11. Projection operators with the intrinsic definition of a surface
A1.3.12. Comparison between the two descriptions
A1.4. Curvilinear zones
A1.4.1. Presentation
A1.4.2. Geometry of the orthogonal curvilinear coordinates
A1.4.3. Projection operators and their consequences
A1.5. Kinematics in orthogonal curvilinear coordinates
A1.5.1. Kinematics of interfacial layers
A1.5.2. Kinematics of curvilinear zones
A1.5.3. Description of the center line
Appendix 2. Additional Aspects of Thermostatics
A2.1. Laws of state for real fluids with a single constituent
A2.1.1. Diagram of state for a pure fluid
A2.1.2. Approximate method to determine the thermodynamic functions
A2.1.3. Van der Waals fluid
A2.1.4. Other laws for dense gases and liquids
A2.2. Mixtures of real fluids
A2.2.1. Mixture laws for a real mixture
A2.2.2. Expression of the free energy of a real mixture
Appendix 3. Tables for Calculating Flows of Ideal Gas (? = 1.4)
A3.1. Calculating the parameters in continuous steady flow (section 1.6.6.2)
A3.2. Formulae for steady normal shockwaves
Appendix 4. Extended Irreversible Thermodynamics
A4.1. Heat balance equations in a non-deformable medium in EIT
A4.2. Application to a 1D case of heat transfer
A4.3. Application to heat transfer with the evaporation of a droplet
A4.3.1. Reminders about evaporating droplets
A4.3.2. Evaporating droplet with EIT
A4.4. Application to thermal shock
A4.4.1. Presentation of the problem and solution using CIT
A4.4.2. Thermal shock and EIT
A4.4.3. Application of the second order approximation in t to two examples of thermal shock
A4.5. Outline of EIT
A4.6. Applications and perspectives of EIT
Appendix 5. Rational Thermodynamics
A5.1. Introduction
A5.2. Fundamental hypotheses and axioms
A5.2.1. Basic hypotheses
A5.2.2. Basic axioms
A5.3. Constitutive laws
A5.4. Case of the reactive mixture
A5.4.1. Principle of material frame indifference
A5.4.2. Constitutive laws for a reactive mixture
A5.5. Critical remarks
Appendix 6. Torsors and Distributors in Solid Mechanics
A6.1. Introduction
A6.1.1. Torsor
A6.1.2. Distributor
A6.1.3. Power
A6.2. Derivatives of torsors and distributors which depend on a single position parameter
A6.2.1. Derivative of the velocity distributor
A6.2.2. Derivative of the tensor of forces
A6.3. Derivatives of torsors and distributors dependent on two positional parameters
A6.3.1. Expression of the velocity distributor
A6.3.2. Derivative of the velocity distributor
Appendix 7. Virtual Powers in a Medium with a Single Constituent
A7.1. Introduction
A7.2. Virtual powers of a system of n material points
A7.3. Virtual power law
A7.4. The rigid body and systems of rigid bodies
A7.4.1. The rigid body
A7.4.2. System of rigid bodies, concept of a link
A7.5. 3D deformable continuous medium
A7.5.1. First gradient theory
A7.5.2. A 3D case of perfect internal linkage: the incompressible perfect fluid
A7.5.3. Second gradient theory
A7.6. 1D continuous deformable medium
A7.6.1. First gradient theory
A7.6.2. A 1D case of perfect internal linkage: perfectly flexible and inextensible wires
A7.7. 2D deformable continuous medium
Bibliography
Index

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