Variational and Extremum Principles in Macroscopic Systems

The first part of the book is focused on the theory, whereas the second focuses on applications.

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Author: Stanislaw Sieniutycz

Publisher: Elsevier

ISBN: 0080456146

Category: Science

Page: 810

View: 414

Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagin’s maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of Variational and Extremum Principles in Macroscopic Systems is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world. The first part of the book is focused on the theory, whereas the second focuses on applications. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. A unique multidisciplinary synthesis of variational and extremum principles in theory and application A comprehensive review of current and past achievements in variational formulations for macroscopic processes Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy

The Nature of Motive Force

Tonti, E.: A systematic approach to the variational formulation in physics and engineering. ... Buchdahl, H.A.: A variational principle in classical thermodynamics. ... Variational and Extremum Principles in Macroscopic Systems.

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Author: Achintya Kumar Pramanick

Publisher: Springer

ISBN: 9783642544712

Category: Science

Page: 141

View: 227

In this monograph Prof. Pramanick explicates the law of motive force, a fundamental law of nature that can be observed and appreciated as an addition to the existing laws of thermodynamics. This unmistakable and remarkable tendency of nature is equally applicable to all other branches of studies. He first conceptualized the law of motive force in 1989, when he was an undergraduate student. Here he reports various applications of the law in the area of thermodynamics, heat transfer, fluid mechanics and solid mechanics, and shows how it is possible to solve analytically century-old unsolved problems through its application. This book offers a comprehensive account of the law and its relation to other laws and principles, such as the generalized conservation principle, variational formulation, Fermat’s principle, Bejan’s constructal law, entropy generation minimization, Bejan’s method of intersecting asymptotes and equipartition principle. Furthermore, the author addresses some interrelated fundamental problems of contemporary interest, especially to thermodynamicists, by combining analytical methods, physical reasoning and the proposed law of motive force. This foundational work is a valuable reading for both students and researchers in exact as well as non-exact sciences and, at the same time, a pleasant learning experience for the novice.

Energy Optimization in Process Systems

Extremum properties of entropy to determine dynamics of growth and evolution in complex systems. Phys. A, 340, 356–363. ... Variational and Extremum Principles in Macroscopic Systems. Elsevier, Oxford pp. 497–522.

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Author: Stanislaw Sieniutycz

Publisher: Elsevier

ISBN: 008091442X

Category: Science

Page: 768

View: 738

Despite the vast research on energy optimization and process integration, there has to date been no synthesis linking these together. This book fills the gap, presenting optimization and integration in energy and process engineering. The content is based on the current literature and includes novel approaches developed by the authors. Various thermal and chemical systems (heat and mass exchangers, thermal and water networks, energy converters, recovery units, solar collectors, and separators) are considered. Thermodynamics, kinetics and economics are used to formulate and solve problems with constraints on process rates, equipment size, environmental parameters, and costs. Comprehensive coverage of dynamic optimization of energy conversion systems and separation units is provided along with suitable computational algorithms for deterministic and stochastic optimization approaches based on: nonlinear programming, dynamic programming, variational calculus, Hamilton-Jacobi-Bellman theory, Pontryagin's maximum principles, and special methods of process integration. Integration of heat energy and process water within a total site is shown to be a significant factor reducing production costs, in particular costs of utilities for the chemical industry. This integration involves systematic design and optimization of heat exchangers and water networks (HEN and WN). After presenting basic, insight-based Pinch Technology, systematic, optimization-based sequential and simultaneous approaches to design HEN and WN are described. Special consideration is given to the HEN design problem targeting stage, in view of its importance at various levels of system design. Selected, advanced methods for HEN synthesis and retrofit are presented. For WN design a novel approach based on stochastic optimization is described that accounts for both grassroot and revamp design scenarios. Presents a unique synthesis of energy optimization and process integration that applies scientific information from thermodynamics, kinetics, and systems theory Discusses engineering applications including power generation, resource upgrading, radiation conversion and chemical transformation, in static and dynamic systems Clarifies how to identify thermal and chemical constraints and incorporate them into optimization models and solutions

Thermodynamic Approaches in Engineering Systems

Do the Navier–Stokes equations admit a variational formulation. In: Sieniutycz, S., Farkas, H. (Eds.), Variational and Extremum Principles in Macroscopic Systems. Elsevier Science, Oxford, Chapter II.10. Sciubba, E., Wall, G., 2007.

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Author: Stanislaw Sieniutycz

Publisher: Elsevier

ISBN: 9780128093399

Category: Technology & Engineering

Page: 738

View: 399

Thermodynamic Approaches in Engineering Systems responds to the need for a synthesizing volume that throws light upon the extensive field of thermodynamics from a chemical engineering perspective that applies basic ideas and key results from the field to chemical engineering problems. This book outlines and interprets the most valuable achievements in applied non-equilibrium thermodynamics obtained within the recent fifty years. It synthesizes nontrivial achievements of thermodynamics in important branches of chemical and biochemical engineering. Readers will gain an update on what has been achieved, what new research problems could be stated, and what kind of further studies should be developed within specialized research. Presents clearly structured chapters beginning with an introduction, elaboration of the process, and results summarized in a conclusion Written by a first-class expert in the field of advanced methods in thermodynamics Provides a synthesis of recent thermodynamic developments in practical systems Presents very elaborate literature discussions from the past fifty years

Optimizing Thermal Chemical and Environmental Systems

Sieniutycz, S., Farkas, H., 2005. Variational and Extremum Principles in Macroscopic Systems. Elsevier, Oxford, pp. 497e522. Sieniutycz, S., Je ̇zowski, J., 2013. Energy Optimization in Process Systems and Fuel Cells. Elsevier, Oxford.

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Author: Stanislaw Sieniutycz

Publisher: Elsevier

ISBN: 9780128135839

Category: Science

Page: 452

View: 632

Optimizing Thermal, Chemical and Environmental Systems treats the evaluation of power or energy limits for processes that arise in various thermal, chemical and environmental engineering systems (heat and mass exchangers, power converters, recovery units, solar collectors, mixture separators, chemical reactors, catalyst regenerators, etc.). The book is an indispensable source for researchers and students, providing the necessary information on what has been achieved to date in the field of process optimization, new research problems, and what kind of further studies should be developed within quite specialized optimizations. Summarizes recent achievements of advanced optimization techniques Links exergy definitions in reversible systems with classical problems of extremum work Includes practical problems and illustrative examples to clarify applications Provides a unified description of classical and work-assisted heat and mass exchangers Written by a first-class expert in the field of advanced methods in thermodynamics

Understanding Non equilibrium Thermodynamics

Prigogine I. and Lefever R., Symmetry breaking instabilities in dissipative systems, J. Chem. Phys. ... Variational and Extremum Principles in Macroscopic Systems, Elsevier Science, Oxford, 2004 Sieniutycz S. and Salamon P. (eds.) ...

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Author: Georgy Lebon

Publisher: Springer Science & Business Media

ISBN: 9783540742524

Category: Science

Page: 326

View: 247

Discover the many facets of non-equilibrium thermodynamics. The first part of this book describes the current thermodynamic formalism recognized as the classical theory. The second part focuses on different approaches. Throughout the presentation, the emphasis is on problem-solving applications. To help build your understanding, some problems have been analyzed using several formalisms to underscore their differences and their similarities.

Non commuting Variations in Mathematics and Physics

Toward a variational mechanics of dissipative continua, Ch.9 in ”Variational and Extremum Principles in Macroscopic Systems”, Elsevier, 2005, pp.187- 205. Maugin,G., Internal varaibles and dissipative structures, J. Non-Equilib.

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Author: Serge Preston

Publisher: Springer

ISBN: 9783319283234

Category: Technology & Engineering

Page: 235

View: 125

This text presents and studies the method of so –called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule used in Variational Calculus. This book presents a survey of Variational Calculus with non-commutative variations and shows that most basic properties of conventional Euler-Lagrange Equations are, with some modifications, preserved for EL-equations with K-twisted (defined by K)-variations. Most of the book can be understood by readers without strong mathematical preparation (some knowledge of Differential Geometry is necessary). In order to make the text more accessible the definitions and several necessary results in Geometry are presented separately in Appendices I and II Furthermore in Appendix III a short presentation of the Noether Theorem describing the relation between the symmetries of the differential equations with dissipation and corresponding s balance laws is presented.

Econophysics

Extremum criteria for non-equilibrium states of dissipative macroeconomic systems. In: Sieniutycz, S., Farkas, H. (Eds.), Variational and Extremum Principles in Macroscopic Systems. Elsevier Ltd., The Boulevard, Langford Lane Kidlington ...

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Author: Gheorghe Săvoiu

Publisher: Academic Press

ISBN: 9780124046269

Category: Business & Economics

Page: 168

View: 775

The remarkable evolution of econophysics research has brought the deep synthesis of ideas derived from economics and physics to subjects as diverse as education, banking, finance, and the administration of large institutions. The original papers in this collection present a broad summary of these advances, written by interdisciplinary specialists. Included are studies on subjects in the development of econophysics; on the perspectives offered by econophysics on large problems in economics and finance, including the 2008-9 financial crisis; and on higher education and group decision making. The introductions and insights they provide will benefit everyone interested in applications of this new transdisciplinary science. Ten papers present an updated version of the origins, issues, and applications of econophysics Economics and finance chapters consider lessons learned from the 2008-9 financial crisis Sociophysics chapters propose new thinking on educational reforms and group decision making

The Statistical Physics of Fixation and Equilibration in Individual Based Models

Master Equations and Path-integral Formulation of Variational Principles for Reactions, eds. by S. Sieniutycz, H. Farkas. Variational and Extremum Principles in Macroscopic Systems (Elsevier, Amsterdam, 2005) C. Escudero, A. Kamenev, ...

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Author: Peter Ashcroft

Publisher: Springer

ISBN: 9783319412139

Category: Science

Page: 164

View: 696

This thesis explores several interdisciplinary topics at the border of theoretical physics and biology, presenting results that demonstrate the power of methods from statistical physics when applied to neighbouring disciplines. From birth-death processes in switching environments to discussions on the meaning of quasi-potential landscapes in high-dimensional spaces, this thesis is a shining example of the efficacy of interdisciplinary research. The fields advanced in this work include game theory, the dynamics of cancer, and invasion of mutants in resident populations, as well as general contributions to the theory of stochastic processes. The background material provides an intuitive introduction to the theory and applications of stochastic population dynamics, and the use of techniques from statistical physics in their analysis. The thesis then builds on these foundations to address problems motivated by biological phenomena.

Complexity and Complex Chemo Electric Systems

Fisher variational principle and thermodynamics. In: Sieniutycz, S., Farkas, H. (Eds.), Variatpional and Extremum Principles in Macroscopic Systems. ... Galilean invariance and entropy principle for system of balance laws.

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Author: Stanislaw Sieniutycz

Publisher: Elsevier

ISBN: 9780128236369

Category: Science

Page: 320

View: 913

Complexity and Complex Chemo-Electric Systems presents an analysis and synthesis of chemo-electric systems, providing insights on transports in electrolytes, electrode reactions, electrocatalysis, electrochemical membranes, and various aspects of heterogeneous systems and electrochemical engineering. The book describes the properties of complexity and complex chemo-electric systems as the consequence of formulations, definitions, tools, solutions and results that are often consistent with the best performance of the system. The book handles cybernetics, systems theory and advanced contemporary techniques such as optimal control, neural networks and stochastic optimizations (adaptive random search, genetic algorithms, and simulated annealing). A brief part of the book is devoted to issues such as various definitions of complexity, hierarchical structures, self-organization examples, special references, and historical issues. This resource complements Sieniutycz’ recently published book, Complexity and Complex Thermodynamic Systems, with its inclusion of complex chemo-electric systems in which complexities, emergent properties and self-organization play essential roles. Covers the theory and applications of complex chemo-electric systems through modeling, analysis, synthesis and optimization Provides a clear presentation of the applications of transport theory to electrolyte solutions, heterogeneous electrochemical systems, membranes, electro-kinetic phenomena and interface processes Includes numerous explanatory graphs and drawings that illustrate the properties and complexities in complex chemo-electric systems Written by an experienced expert in the field of advanced methods in thermodynamics and related aspects of macroscopic physics