Tutorials
Equations of
state (EOS) play a fundamental role in many fields of science and
engineering. However, no one academic discipline
"owns" this important subject. One reason for this fact is
that methods developed to solve EOS problems
in one field are often inadequate to address problems in other fields.
For example, chemical
engineers, astrophysicists, and geophysicists all encounter EOS
concepts during their academic training,
but they study different aspects of the subject—different
physical and chemical phenomena, different regions of temperature and
pressure, different classes of materials; they learn different
theories, different approximations, sometimes even different notation.
In industry,
however, one can encounter problems that cut across many scientific
fields. This situation is especially true of investigations involving
high-velocity impacts, explosions, shock waves, and other hydrodynamic
phenomena. In such cases, the EOS theorist is called upon to
employ a variety of scientific tools—continuum mechanics,
thermodynamics, quantum mechanics, and statistical
mechanics—and to
know something about chemistry and materials science. In many cases,
he/she will require more expertise than can be obtained from standard
courses in these subjects.
There are no textbooks or
academic courses that provide the comprehensive background needed by
the EOS theorist.
One of the main
goals of this website is to help remedy this
situation. This section of the
site will offer "tutorials" on various aspects of EOS theory and
modeling. The titles and links to these documents are given below,
along with brief summaries of their content. Two types of documents
will be available:
-
The on-line
tutorials (narrated PPT presentations) give overviews of various
topics,
focusing primarily on fundamental concepts and using as few equations
as possible.
-
In-depth
discussions, that include detailed equations and derivations, will be
presented as KTS reports, downloadable as pdf files.
I will not try to
cover each and every aspect of this fascinating subject. The emphasis
will be on what I know best: issues that arise in shock wave and
hydrodynamics problems, including numerical hydrocode simulations. I
will also concentrate mainly on EOS theory and modeling, leaving
experimental methods to be covered by my distinguished colleagues.
However, I hope that anyone interested in equations of state will find
something useful in this site.
Three
tutorials are now complete, and I am currently adding a fourth one (see
below). Others
will be added to the site as I get time to write them.
- Gerald I. Kerley
The following
presentations are best
viewed using a broadband connection. For best results, allow
the file to download completely before viewing. Report any problems
to contact@kerleytechnical.com
.
The following
tutorials require javascript to be enabled and an
up-to-date flash player. To update your flash player, go to http://www.adobe.com, click
on the button "Get ADOBE FLASH PLAYER," and follow the instructions.
EOS: Basic
Concepts
Part
A (26 min):
Definition;
Ideal Gas; Units; Material State; Equilibrium vs. Non-Equilibrium
Part
B (44 min):
Hydrodynamics and Shock Waves; Experimental Methods.
Part
C (41 min): Modeling Methods;
Physics-Based Models; EOS Tables; Reactive Behavior.
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EOS:
Theoretical Foundations
Part
A (42 min): Introductory Remarks;
Continuum Mechanics.
Part
B (42 min): Thermodynamics.
Part
C (1 hr, 53 min): Quantum Mechanics.
Part
D (1 hr, 26 min): Statistical
Mechanics; Closing Remarks.
|
EOS: Advanced
Models
Part
A (1 hr, 5 min): Introduction; The
Global
EOS; Overview of EOSPro.
Part
B (53 min): A Simple
Model—Average
Atom/Solid-Gas-TFD.
Part
C (1 hr, 18 min): The Fluid Model
& Melting; The Thermal Electronic Term.
Part
D (1 hr, 35 min): Phase Transitions;
Molecules, Mixtures,
& Chemical Equilibrium; Closing Remarks.
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EOS: Reactive
Materials
Part
A (1 hr, 25 min): Introduction;
Terminology; Standard States & Heats of
Formation; Experimental Data; An Example.
Part
B (1 hr, 11 min): Theory of
Detonation; CJ & ZND Detonations; Overview of Detonation
Product EOS
Models; The JWL Model.
Part
C (1 hr, 24 min): Reaction Product
EOS—Thermochemical Models; The PANDA/EOSPro Model;
Comparisons with Experiment.
Coming: Parts D
& E
will discuss the following topics: EOS models for materials in the
unreacted
state; EOS for intermediate stages of reaction; principles, examples,
and applications of reaction rate models.
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EOS:
Miscellaneous Topics (TBA)
...
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