Entropic Invariants of Two-Phase Flows PDF Download
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Author: Eugene Barsky
Publisher: Elsevier
ISBN: 0128016434
Category : Technology & Engineering
Languages : en
Pages : 267
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Book Description
In this book, a new approach to the theory and practice of two-phase systems based on a global invariant – entropy, – and other invariants is formulated and experimentally confirmed. Offers a novel approach to the study of the two-phase flows systems based on statistical mechanics and probability theory Provides the tools for computing and modelling two-phase systems, predicts mass transfer and enables system optimization Provides a plethora of examples in among others, separation processes, dust production, pneumatic transport, and boiling bed
Author: Eugene Barsky
Publisher: Elsevier
ISBN: 0128016434
Category : Technology & Engineering
Languages : en
Pages : 267
Get Book Here
Book Description
In this book, a new approach to the theory and practice of two-phase systems based on a global invariant – entropy, – and other invariants is formulated and experimentally confirmed. Offers a novel approach to the study of the two-phase flows systems based on statistical mechanics and probability theory Provides the tools for computing and modelling two-phase systems, predicts mass transfer and enables system optimization Provides a plethora of examples in among others, separation processes, dust production, pneumatic transport, and boiling bed
Author: Eugene Barsky
Publisher: Elsevier
ISBN: 0128225394
Category : Science
Languages : en
Pages : 309
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Book Description
Entropy of Complex Processes and Systems formalizes our understanding of many complex processes, including the development of the methodology of analytical computation of complex processes as applied in many industries, such as ore processing, or more generally, in areas of natural sciences. The adequacy of the results of these calculations is confirmed by numerous experimental data obtained both on pilots and industrial facilities. The book also provides a thorough analysis of the underlying physical foundations of entropy performed from new standpoints that are of interest to theoreticians studying contemporary expositions. Provides methodologies for controlling and optimizing complex processes in branches of industry that involve transformation of materials or substances Describes entropy as the universal characteristic of a stochastic process independent of the system Introduces a new definition of entropy specifically related to dynamical phenomena
Author: Eugene Barsky
Publisher: Springer
ISBN: 9789048188376
Category : Technology & Engineering
Languages : en
Pages : 348
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Book Description
Critical regimes of two-phase flows with a polydisperse solid phase form the basis of such widespread industrial processes as separation of various powdery materials and minerals dressing. It is impossible to describe such complicated flows analytically. Therefore, this study concentrates on invariants experimentally revealed and theoretically grounded for such flows. This approach can be compared with the situation in gases, where in order to determine principal parameters of their state, one does not need to measure the kinetic energy and velocity of each molecule and find its contribution to the temperature and pressure. These parameters are determined in a simple way for the system on the whole. A novel conception of two-phase flows allowing the formulation of their statistical parameters is physically substantiated. On the basis of the invariants and these parameters, a comprehensive method of estimating and predicting mass transfer in such flows is developed. It is noteworthy that the presented results are mostly phenomenological. Such an approach can be successfully extended to the separation of liquids, gases and isotopes. The book is intended for students and specialists engaged in chemical technology, mineral dressing, ceramics, microelectronics, pharmacology, power generation, thermal engineering and other fields in which flows carrying solid particles are used in the technological process.
Author: Cl Kleinstreuer
Publisher: Routledge
ISBN: 1351406485
Category : Science
Languages : en
Pages : 472
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Book Description
This graduate text provides a unified treatment of the fundamental principles of two-phase flow and shows how to apply the principles to a variety of homogeneous mixture as well as separated liquid-liquid, gas-solid, liquid-solid, and gas-liquid flow problems, which may be steady or transient, laminar or turbulent.Each chapter contains several sample problems, which illustrate the outlined theory and provide approaches to find simplified analytic descriptions of complex two-phase flow phenomena.This well-balanced introductory text will be suitable for advanced seniors and graduate students in mechanical, chemical, biomedical, nuclear, environmental and aerospace engineering, as well as in applied mathematics and the physical sciences. It will be a valuable reference for practicing engineers and scientists. A solutions manual is available to qualified instructors.
Author: Shih-i Pai
Publisher: Springer-Verlag
ISBN: 3322863484
Category : Science
Languages : de
Pages : 373
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Book Description
Author: Alexander N. Gorban
Publisher: Springer Science & Business Media
ISBN: 9783540226840
Category : Science
Languages : en
Pages : 524
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Book Description
By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.
Author: Daniel D. Joseph
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 188
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Book Description
This IMA Volume in Mathematics and its Applications TWO PHASE FLOWS AND WAVES is based on the proceedings of a workshop which was an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshop focussed on the development of waves in flowing composites. We thank the Coordinating Commit tee: James Glimm, Daniel Joseph, Barbara Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing the stimulating year-long program. We especially thank the Workshop Organizers, Daniel D. Joseph and David G. Schaeffer for their efforts in bringing together many of the major figures in those research fields in which modelling of granular flows and suspensions is used. Avner Friedman Willard Miller, Jr. PREFACE This Workshop, held from January 3-10,1989 at IMA, focused on the properties of materials which consist of many small solid particles or grains. Let us distinguish the terms granular material and suspension. In the former, the material consists exclusively of solid particles interacting through direct contact with one another, either sustained frictional contacts in the case of slow shearing or collisions in the case of rapid shearing. In suspensions, also called two phase flow, the grains interact with one another primarily through the influence of a viscous fluid which occupies the interstitial space and participates in the flow. (As shown by the lecture of I. Vardoulakis (not included in this volume), the distinction between these two idealized cases is not always clear.
Author: Michael Artin
Publisher: Springer Science & Business Media
ISBN: 3642785026
Category : Mathematics
Languages : en
Pages : 317
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Book Description
A volume containing original essays from quite diverse fields in mathematics is something of a rarity, especially if renowned scientists show the width of their discipline to the reader. This book is just such a rarity - a veritable gem. It was written to celebrate the 50th anniversary of the mathematical research institute at Oberwolfach. The articles span a range of topics from general reflections on the place of mathematics in contemporary culture to essays dealing with aspects of algebra, analysis, geometry, coding theory, scientific computing and topology. All essays are interrelated, proving the old rule that you can divide and still conquer. A book in which every mathematician or scientist interested in mathematics will find something to take their fancy.
Author: Herbert Staedtke
Publisher: Wiley-VCH
ISBN: 3527609113
Category : Science
Languages : en
Pages : 288
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Book Description
Here, the author, a researcher of outstanding experience in this field, summarizes and combines the recent results and findings on advanced two-phase flow modeling and numerical methods otherwise dispersed in various journals, while also providing explanations for numerical and modeling techniques previously not covered by other books. The resulting systematic and comprehensive monograph is unrivalled in its kind, serving as a reference for both researchers and engineers working in engineering as well as in environmental science.
Author: Lawrence Sklar
Publisher: Cambridge University Press
ISBN: 9780521558815
Category : Philosophy
Languages : en
Pages : 458
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Book Description
Lawrence Sklar offers a comprehensive, non-technical introduction to statistical mechanics and attempts to understand its foundational elements.
