Alternative Mathematical Theory of Non-Equilibrium Phenomena

Erscheinungsjahr 1996
ISBN: 978-0-12-673015-9
Verlag: ACADEMIC PR INC

Buch, Englisch, 377 Seiten, Format (B × H): 158 mm x 235 mm, Gewicht: 708 g

Reihe: Methematics in Science & Engin

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.

Zielgruppe

Researchers, students, and practitioners in mechanics, thermodynamics, fluid mechanics, electrodynamics; mathematicians

Autoren/Hrsg.

Straub, Dieter

Ames, William F.

Weitere Mitwirkende

Ames, William F.

Fachgebiete

• Naturwissenschaften Physik Thermodynamik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Technische Wissenschaften Bauingenieurwesen Mathematische Methoden, Computeranwendungen (Bauingenieurwesen)

Inhaltsverzeichnis

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.

Über Autor(innen)

Straub, Dieter
Dieter Straub graduated from the Technical University 'Fridericiana in Karlsruhe (UFK) in 1960 with a degree in Mechanical Engineering. He went on to get his Ph.D. at the Institute of Technical Thermodynamics and Refrigeration of UFK in 1964. While at this institute, he worked as a Research Assistant and an Assistant Professor. He was also a Senior Scientist in a group studying the Dynamics of Real Gases, associated with the Institute of Applied Mathematics of UFK. From 1971 to 1974 Straub was a scientific employee at the Society for Space Research (GfW) of the Federal Ministry of Science and Technology at Bonn/Cologne. He was the Chief of the Aerodynamics, Thermodynamics, and Flight Mechanics Section in the GfW Department of Space Technology. Dr. Straub also managed the research project, 'Reentry Technology. He acted as the promoter and chairman of the interdisciplinary study group for Advanced Reentry Vehicle Technology as well. Dr. Straub is currently Full Professor of Thermodynamics and Heat and Mass Transfer, and Director of the Institute of Thermodynamics at the Department of Aeronautical and Aerospace Technology at the University of the Federal Armed Forces, Munich. Straub has many papers and anthology contributions to his credit, including three monographs titled Thermofluid Dynamics of Optimized Rocket Propulsions: Extended Lewis Code Fundamentals (1989), A History of the Glass Bead Game: Irreversibility in Physics--Irritations and Inferences (1990, in German), and Analytical Production Theory (1992, in German, co-authors K. Hoher and M. Lauster.)