Fluid Mechanics

Preface.
Chapter 1. Thermodynamics of Discrete Systems.
1.1. The representational bases of a material system.1
1.2. Axioms of thermostatics.
1.3. Consequences of the axioms of thermostatics.
1.4. Out-of-equilibrium states.
Chapter 2. Thermodynamics of Continuous Media.
2.1. Thermostatics of continuous media.
2.2. Fluid statics.
2.3. Heat conduction.
2.4. Diffusion.
Chapter 3. Physics of Energetic Systems in Flow.
3.1. Dynamics of a material point.
3.2. Mechanical material system.
3.3. Kinematics of continuous media.
3.4. Phenomenological laws of viscosity.
Chapter 4. Fluid Dynamics Equations.
4.1. Local balance equations.
4.2. Mass balance.
4.3. Balance of mechanical and thermodynamic quantities.
4.4. Boundary conditions.
4.5. Global form of the balance equations.
4.6. Similarity and non-dimensional parameters.
Chapter 5. Transport and Propagation.
5.1. General considerations.
5.2. First order quasi-linear partial differential equations.
5.3. Systems of first order partial differential equations.
5.4. Second order partial differential equations.
5.5. Discontinuities: shock waves.
5.6. Some comments on methods of numerical solution.
Chapter 6. General Properties of Flows.
6.1. Dynamics of vorticity.
6.2. Potential flows.
6.3. Orders of magnitude.
6.4. Small parameters and perturbation phenomena.
6.5. Quasi-1D flows.
6.6. Unsteady flows and steady flows.
Chapter 7. Measurement, Representation and Analysis of Temporal Signals.
7.1. Introduction and position of the problem.
7.2. Measurement and experimental data in flows.
7.3. Representation of signals.
7.4. Choice of representation and obtaining pertinent information.
Chapter 8. Thermal Systems and Models.
8.1. Overview of models.
8.2. Thermodynamics and state representation.
8.3. Modeling linear invariant thermal systems .
8.4. External representation of linear invariant systems.
8.5. Parametric models.
8.6. Model reduction.
8.7. Application in fluid mechanics and transfer in flows.
Appendix 1. Laplace Transform.
A1.1. Definition.
A1.2. Properties.
A1.3. Some Laplace transforms.
A1.4. Application to the solution of constant coefficient differential equations.
Appendix 2. Hilbert Transform.
Appendix 3. Cepstral Analysis.
A3.1. Introduction.
A3.2. Definitions.
A3.3. Example of echo suppression.
A3.4. General case.
Appendix 4. Eigenfunctions of an Operator.
A4.1. Eigenfunctions of an operator.
A4.2. Self-adjoint operator.
Bibliography.
Index.