UID:
almahu_9947367123102882
Format:
1 online resource (395 p.)
ISBN:
1-281-03365-0
,
9786611033651
,
0-08-052707-8
Series Statement:
Mathematics in science and engineering ; v. 196
Content:
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 fundamen
Note:
Description based upon print version of record.
,
Cover; Contents; Preface; Acknowledgments; Chapter 1. Physics Today: Perspectives; 1.1 Motivation; 1.2 Origin and Importance of Non-equilibrium Phenomena; 1.3 Today's Mechanical Worldview: A Short Historical Outline; 1.4 Continuum Theories of Mass-Point Fluids; 1.5 Gibbsian Thermostatics?; Chapter 2. Falkian Dynamics: An Introduction; 2.1 Falk's Principle; 2.2 Gibbs' Fundamental Equation and System Modeling; 2.3 Equilibria and Criteria of Stability; 2.4 Mathematical Foundation of Falk's Dynamics I: Mappings; 2.5 Mathematical Foundation of Falk's Dynamics II: Systems
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Chapter 3. Motion and Matter3.1 Basic Questions; 3.2 Callen's Principle; 3.3 Energy-Momentum Transport and Matter Model; 3.4 Realistic Concept of Real Matter; Chapter 4. Systems and Symmetries; 4.1 An Approach to Implant Space and Time in Physics; 4.2 Falk's Dynamics of Hamiltonian Systems; 4.3 Review of the Noether Theorem; 4.4 Phases, Heating, and Power as Interacting Phenomena; Chapters 5. Barriers and Balances; 5.1 Body-Field Systems; 5.2 Multicomponent Single-Phase and Multiphase Properties; 5.3 Time Parameters in Thermodynamics of Fluid Systems; 5.4 Balance Equations
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Chapter 6. Non-equilibrium Processes6.1 Dissipation Velocity; 6.2 Kinetic Equilibrium in Fields; 6.3 Three Additional Theorems Concerning Non-equilibrium; 6.4 Hypothetical State at Rest; 6.5 Constitutive Properties of Matter; Chapter 7. General Equation of Motion and Its Approximations; 7.1 Elementary Picture of Dissipation; 7.2 General Equation of Motion; 7.3 Some Remarks on Turbulent Flows; 7.4 Conservation of Angular Momentum; 7.5 Navier-Stokes-Fourier Fluids; 7.6 Simplified Models of Dissipative Flows; Chapter 8. Paradigmata Are the Winners' Dogmata; 8.1 Selection of Paragons
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8.2 Vorticity-influenced Flows8.3 Basic Applications of Gasdynamics; 8.4 Complex Flow Phenomena; Chapter 9. Gibbs-Falkian Electromagnetism; 9.1 A Quandary Concerning Electromagnetic Field Variables; 9.2 Perspectives and Electromagnetic Units; 9.3 Falk's Dynamics of Electromagnetic Phenomena; 9.4 Maxwell's Equations; 9.5 Non-equilibrium Flows in Polarized Fluids; 9.6 Sundry Remarks on an Electromagnetic Dilemma; Appendix 1. Atomism or The Art of Honest Dissimulation; A1.1 Motivation; A1.2 Pre-Socratic Atomism and its Tradition in the Ancient World; A1.3 Atomism in the Dark Middle Ages
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A1.4 The Galilei AffairA1.5 On the Early History of the Eulerian Mass-Point; Appendix 2. Mathematical Supplements; A2.1 Supplements to the Noether Theorem; A2.2 Some Useful Tensor Rules; A2.3 On Vorticity in Navier-Stokes Flows; Appendix 3. Computation Scheme for a One-Component Single-Phase Body-Field System; List of Relevant Symbols; References; Name Index; Subject Index
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English
Additional Edition:
ISBN 0-12-673015-6
Language:
English
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