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| ALTERNATIVE MATHEMATICAL THEORY OF NON-EQUILIBRIUM PHENOMENA
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By
Dieter Straub, Universitat der Bundeswehr
William Ames, Georgia Institute of Technology
Included in series
Mathematics in Science and Engineering,
Description
Alternative Mathematical Theory of Non-equilibrium Phenomena presents an entirely new theoretical approach to complex non-equilibrium
phenomena, especially Gibbs/Falk thermodynamics and fluid mechanics. This innovative new theory allows for inclusion of all state variables
and introduces a new vector-dissipation velocity-which leads to useful restatements of momentum, the Second Law, and tensors for the
laws of motion, friction, and heat conduction. This application-oriented text is relatively self-contained and is an excellent guide-book
for engineers with a strong interest in fundamentals, or for professionals using applied mathematics and physics in engineering applications.
This book emphasizes macroscopic phenomena, focusing specifically on gaseous states, though relations to liquid and crystalline states
are also considered. The author presents a new Alternative Continuum Theory of Compressible Fluids (AT) which providesa qualitative description
of the subject in predominantly physical terms, minimizing the mathematical premises. The methodology discussed has applications in a
wide range of fields outside of physics in areas including General System Theory, TheoreticalEconomics, and Biophysics and Medicine.
Audience
Researchers, students, and practitioners in mechanics, thermodynamics, fluid mechanics, electrodynamics; mathematicians
Contents
Physics Today--Perspectives:
Motivation. Origin and Importance of Non-equilibrium Phenomena. Today's Mechanical World View: A Historical
Outline. Continuum Theories of Mass-point Fluids. Gibbsian Thermostatics?
FalkianDynamics--An Introduction:
Falk's Principle.
Gibbs Fundamental Equation and System Modeling. Equilibria and Criteria of Stability. Mathematical Foundation of Falk's Dynamics I: Mappings.
Mathematical Foundation of Falk's Dynamics II: Systems.
Motion and Matter:
Basic Equations. Callen's Principle. Energy-Momentum
Transport and Matter Model. Realistic Concept of Real Matter.
Systems and Symmetry:
An Approach to Implant Space and Time in Physics.
Falk's Dynamics of Hamiltonian Systems. Review of the Noether Theorem. Phases, Heating, and Power as Interaction Phenomena.
Barriers
and Balances:
Body-Field Systems. Multi-component Multi-phase Properties. Time Parameters in Thermodynamics of Fluid Systems. Balance
Equations.
Non-equilibrium Processes:
Dissipation Velocity. Kinetic Equilibrium in Fields. Three Additional Theorems Concerning
Non-Equilibrium. Hypothetical State at Rest. Constitutive Properties of Matter.
General Equation of Motion and its Approximations:
ElementaryPicture of Dissipation. General Equation of Motion. Some Remarks on Turbulent Flows. Conservation of Angular Momentum. Nacier-Stokes-Fourier
Fluids. Simplified Models of Dissipative Flows.
"Paradigmata are the Winner's Dogmata":
Selection of Paragons. Vorticity-Influenced
Flows. Basic Applications of Gasdynamics. Complex Flow Phenomena.
Gibbs-Falkian Electromagnetism:
A Quandary Concerning Electromagnetic
Field Variables. Perspectives and Electromagnetic Units. Falk's Dynamics of Electromagnetic Phenomena. Maxwell's Equations. Non-Equilibrium
Flows in Polarized Fluids. Sundry Remarks on an Electromagnetic Dilemma. Appendices. List of Frequently Used Symbols. References. Author
Index. Subject Index.
| Bibliographic details |
Hardbound, 377 pages, publication date: SEP-1996
ISBN-13: 978-0-12-673015-9
ISBN-10: 0-12-673015-6
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
USD 155
GBP 86
EUR 126
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Last update: 27 Sep 2008
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