Equations of State and Fluid Dynamics
File : pdf, 2.95 MB, 16 pages
TOC
1. Thermodynamics : basics
Thermodynamics variables
Fundamental identity
Key EOS parameters
Consistent units
2. Fluid Equations
Conservation form
Euler equations
Entropy eqauation
Characteristic form
Incomplete EOS
3. Thermodynamics : advanced
Thermodynamic potentials
Thermodynamic identities
Phase Transition
Exercises
4. Thermo-Elastic Solid
Elastis models
Stress & Strain tensors
Moduli
Acoustic waves
1-D unaxial strain
Phase Transition
5. Hugoniot locus
Jump conditions
Riemann problem
Shock change equation
Numerical algorithm
6. Shock Stability
1-D stability
2-D stability
Digression
7. Hugoniot locus for phase transition
Equilibrium structure
Rate dependent effects
8. Measurement of shock locus
Example data
Methods to generate shocks
Calibrate standard
Impedance math experiments
9. Experimenal isotherm & isentrope
High pressure experiments
Case study
10. Mie-Gruneisen EOS
Incomplete EOS
Complete EOS
Common solid EOS
Shock polar
11. Debye model
Helmholtz free energy
Debye approximation (acoustic modes)
Optical modes
12. Statistical mechanics
Configuration space
Statistical ensembles
Atomic potentials
Computational techniques
Numerical experiments
13. Simple analytic EOS
Perfect gas
Stiffened gas
Hayes EOS
14. Generalized Hayes EOS
Hayes EOS
Thermal component
Reference isotherm
15. Semi-analytic EOS
Porous materials
P-T equilibrium mixture
Chemical equilibrium
Two-phase EOS
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