Two Fluid Model Stability Simulation And Chaos

Author : Martín López de Bertodano,William Fullmer,Alejandro Clausse,Victor H. Ransom
Publisher : Springer
Page : 358 pages
File Size : 46,7 Mb
Release : 2016-11-09
Category : Technology & Engineering
ISBN : 9783319449685

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Two-Fluid Model Stability, Simulation and Chaos by Martín López de Bertodano,William Fullmer,Alejandro Clausse,Victor H. Ransom Pdf

This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is formidable because it involves the combined challenges of two-phase topological structure and turbulence, both nonlinear phenomena. The one dimensional approach permits the separation of the former from the latter.The authors first analyze the kinematic and Kelvin-Helmholtz instabilities with the simplified one-dimensional Fixed-Flux Model (FFM). They then analyze the density wave instability with the well-known Drift-Flux Model. They demonstrate that the Fixed-Flux and Drift-Flux assumptions are two complementary TFM simplifications that address two-phase local and global linear instabilities separately. Furthermore, they demonstrate with a well-posed FFM and a DFM two cases of nonlinear two-phase behavior that are chaotic and Lyapunov stable. On the practical side, they also assess the regularization of an ill-posed one-dimensional TFM industrial code. Furthermore, the one-dimensional stability analyses are applied to obtain well-posed CFD TFMs that are either stable (RANS) or Lyapunov stable (URANS), with the focus on numerical convergence.

Author : Alfonso Prieto Guerrero,Gilberto Espinosa Paredes
Publisher : Woodhead Publishing
Page : 471 pages
File Size : 48,8 Mb
Release : 2018-10-15
Category : Business & Economics
ISBN : 9780081024461

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Linear and Non-linear Stability Analysis in Boiling Water Reactors by Alfonso Prieto Guerrero,Gilberto Espinosa Paredes Pdf

Linear and Non-Linear Stability Analysis in Boiling Water Reactors: The Design of Real-Time Stability Monitors presents a thorough analysis of the most innovative BWR reactors and stability phenomena in one accessible resource. The book presents a summary of existing literature on BWRs to give early career engineers and researchers a solid background in the field, as well as the latest research on stability phenomena (propagation phenomena in BWRs), nuclear power monitors, and advanced computer systems used to for the prediction of stability. It also emphasizes the importance of BWR technology and embedded neutron monitoring systems (APRMs and LPRMs), and introduces non-linear stability parameters that can be used for the onset detection of instabilities in BWRs. Additionally, the book details the scope, advantages, and disadvantages of multiple advanced linear and non linear signal processing methods, and includes analytical case studies of existing plants. This combination makes Linear and Non-Linear Stability Analysis in Boiling Water Reactors a valuable resource for nuclear engineering students focusing on linear and non-linear analysis, as well as for those working and researching in a nuclear power capacity looking to implement stability methods and estimate decay ratios using non-linear techniques. Explores the nuclear stability of Boiling Water Reactors based on linear and non-linear models Evaluates linear signal processing methods such as autoregressive models, Fourier-based methods, and wavelets to calculate decay ratios Proposes novel non-linear signal analysis techniques linked to non-linear stability indicators Includes case studies of various existing nuclear power plants as well as mathematical models and simulations

Author : Wioletta Podgórska
Publisher : CRC Press
Page : 482 pages
File Size : 45,9 Mb
Release : 2019-09-17
Category : Science
ISBN : 9781482235708

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Multiphase Particulate Systems in Turbulent Flows by Wioletta Podgórska Pdf

Multiphase Particulate Systems in Turbulent Flows: Fluid-Liquid and Solid-Liquid Dispersions provides methods necessary to analyze complex particulate systems and related phenomena including physical, chemical and mathematical description of fundamental processes influencing crystal size and shape, suspension rheology, interfacial area of drops and bubbles in extractors and bubble columns. Examples of mathematical model formulation for different processes taking place in such systems is shown. Discussing connections between turbulent mixing mechanisms and precipitation, it discusses influence of fine-scale structure of turbulence, including its intermittent character, on breakage of drops, bubbles, cells, plant cell aggregates. An important aspect of the mathematical modeling presented in the book is multi-fractal, taking into account the influence of internal intermittency on different phenomena. Key Features Provides detailed descriptions of dispersion processes in turbulent flow, interactions between dispersed entities, and continuous phase in a single volume Includes simulation models and validation experiments for liquid-liquid, gas-liquid, and solid-liquid dispersions in turbulent flows Helps reader learn formulation of mathematical models of breakage or aggregation processes using multifractal theory Explains how to solve different forms of population balance equations Presents a combination of theoretical and engineering approaches to particulate systems along with discussion of related diversity, with exercises and case studies

Author : Robert W. Lyczkowski
Publisher : Springer
Page : 334 pages
File Size : 42,9 Mb
Release : 2017-10-10
Category : Technology & Engineering
ISBN : 9783319665023

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The History of Multiphase Science and Computational Fluid Dynamics by Robert W. Lyczkowski Pdf

This book tells the story of how the science of computational multiphase flow began in an effort to better analyze hypothetical light water power reactor accidents, including the “loss of coolant” accident. Written in the style of a memoir by an author with 40 years’ engineering research experience in computer modeling of fluidized beds and slurries, multiphase computational fluid dynamics, and multiphase flow, most recently at Argonne National Laboratory, the book traces how this new science developed during this time into RELAP5 and other computer programs to encompass realistic descriptions of phenomena ranging from fluidized beds for energy and chemicals production, slurry transport, pyroclastic flow from volcanoes, hemodynamics of blood-borne cells, and flow of granular particulates. Such descriptions are not possible using the classical single-phase Navier-Stokes equations. Whereas many books on computational techniques and computational fluid dynamics have appeared, they do not trace the historical development of the science in any detail, and none touch on the beginnings of multiphase science. A robust, process-rich account of technologic evolution, the book is ideal for students and practitioners of mechanical, chemical, nuclear engineering, and the history of science and technology.

Author : Christos H. Skiadas,Ioannis Dimotikalis
Publisher : World Scientific
Page : 467 pages
File Size : 47,5 Mb
Release : 2011
Category : Science
ISBN : 9789814350334

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Chaos Theory by Christos H. Skiadas,Ioannis Dimotikalis Pdf

The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms. The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals. Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications, are presented.

Author : Christos H. Skiadas,Charilaos Skiadas
Publisher : CRC Press
Page : 364 pages
File Size : 50,9 Mb
Release : 2008-10-20
Category : Mathematics
ISBN : 9781420079012

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Chaotic Modelling and Simulation by Christos H. Skiadas,Charilaos Skiadas Pdf

Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the Interesting Behavior of Particular Classes of ModelsChaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models. Using more

Author : Paul Manneville
Publisher : World Scientific
Page : 456 pages
File Size : 51,7 Mb
Release : 2010
Category : Science
ISBN : 9781848163928

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Instabilities, Chaos and Turbulence by Paul Manneville Pdf

This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

Author : W. Szemplinska-Stupnicka,H. Troger
Publisher : Springer
Page : 325 pages
File Size : 41,5 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709126103

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Engineering Applications of Dynamics of Chaos by W. Szemplinska-Stupnicka,H. Troger Pdf

The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this field cover not only theoretical foundations and algorithmic and computational aspects but also applications to engineering problems. In the first article an introduction into the basic concepts for the investigation of chaotic behavior of dynamical systems is given which is followed in the second article by an extensive treatment of approximative analytical methods to determine the critical parameter values describing the onset of chaos. The important relation between chaotic dynamics and the phenomenon of turbulence is treated in the third article by studying instabilities various fluid flows. In this contribution also an introduction into interesting phenomenon of pattern formation is given. The fourth and fifth articles present various applications to nonlinear oscillations including roll motions of ships, rattling oscillations in gear boxes, tumbling oscillations of satellites, flutter motions of fluid carrying pipes and vibrations of robot arms. In the final article a short treatment of hyperchaos is given.

Author : Roland Schiestel
Publisher : John Wiley & Sons
Page : 751 pages
File Size : 54,8 Mb
Release : 2010-01-05
Category : Science
ISBN : 9780470393468

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Modeling and Simulation of Turbulent Flows by Roland Schiestel Pdf

This title provides the fundamental bases for developing turbulence models on rational grounds. The main different methods of approach are considered, ranging from statistical modelling at various degrees of complexity to numerical simulations of turbulence. Each of these various methods has its own specific performances and limitations, which appear to be complementary rather than competitive. After a discussion of the basic concepts, mathematical tools and methods for closure, the book considers second order closure models. Emphasis is placed upon this approach because it embodies potentials for clarifying numerous problems in turbulent shear flows. Simpler, generally older models are then presented as simplified versions of the more general second order models. The influence of extra physical parameters is also considered. Finally, the book concludes by examining large Eddy numerical simulations methods. Given the book’s comprehensive coverage, those involved in the theoretical or practical study of turbulence problems in fluids will find this a useful and informative read.

Author : Daniel D. Joseph,Yuriko Y. Renardy
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 49,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461570615

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Fundamentals of Two-Fluid Dynamics by Daniel D. Joseph,Yuriko Y. Renardy Pdf

Two-fluid dynamics is a challenging subject rich in physics and prac tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different configurations of flow are compatible with the same data. This is one reason why stability studies are important; we need to know which of the possible solutions are stable to predict what might be observed. When we started our studies in the early 1980's, it was not at all evident that stability theory could actu ally work in the hostile environment of pervasive nonuniqueness. We were pleasantly surprised, even astounded, by the extent to which it does work. There are many simple solutions, called basic flows, which are never stable, but we may always compute growth rates and determine the wavelength and frequency of the unstable mode which grows the fastest. This proce dure appears to work well even in deeply nonlinear regimes where linear theory is not strictly valid, just as Lord Rayleigh showed long ago in his calculation of the size of drops resulting from capillary-induced pinch-off of an inviscid jet.

Author : M.Y. Hussaini,Robert G. Voigt
Publisher : Springer Science & Business Media
Page : 462 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461234302

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Instability and Transition by M.Y. Hussaini,Robert G. Voigt Pdf

These two volumes contain the proceedings of the workshop on the Institute for Computer Instability and Transition, sponsored by Applications in Science and Engineering (ICASE) and the Langley Research Center (LaRC), during May 15 to June 9, 1989. The work shop coincided with the initiation of a new, focused research pro gram on instability and transition at LaRC. The objectives of the workshop were to (i) expose the academic community to current technologically important issues of instability and transition in shear flows over the entire speed range, (ii) acquaint the academic com munity with the unique combination of theoretical, computational and experimental capabilities at LaRC and foster interaction with these facilities, (iii) review current state-of-the-art and propose fu ture directions for instability and transition research, (iv) accelerate progress in elucidating basic understanding of transition phenomena and in transferring this knowledge into improved design methodolo gies through improved transition modeling, and (v) establish mech anisms for continued interaction. The objectives (i) to (iii) were of course immediately met. It is still premature to assess whether ob jectives (iv) and (v) are achieved. The workshop program consisted of tutorials, research presenta tions, panel discussions, experimental and computational demonstra tions, and collaborative projects.

Author : Christos H. Skiadas,Ioannis Dimotikalis
Publisher : World Scientific
Page : 411 pages
File Size : 52,5 Mb
Release : 2010
Category : Science
ISBN : 9789814299718

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Chaotic Systems by Christos H. Skiadas,Ioannis Dimotikalis Pdf

This volume contains a collection of papers suggested by the Scientific Committee that includes the best papers presented in the 2nd International Conference (CHAOS2009) on Chaotic Modeling, Simulation and Applications, that was held in Chania, Crete, Greece, June 15, 2009. The aim of the conference was to invite and bring together people working in interesting topics of chaotic modeling, nonlinear and dynamical systems and chaotic simulation. The volume presents theoretical and applied contributions on chaotic systems. Papers from several nonlinear analysis and chaotic fields are included and new and very important results are presented. Emphasis was given to the selection of works that have significant impact in the chaotic field and open new horizons to further develop related topics and subjects. Even more the selected papers are addressed to an interdisciplinary audience aiming at the broad dissemination of the theory and practice of chaotic modeling and simulation and nonlinear science.

Author : Bo-Wen Shen,Roger Pielke Sr,Xubin Zeng
Publisher : MDPI AG
Page : 338 pages
File Size : 46,6 Mb
Release : 2023-10-11
Category : Education
ISBN : 9783036589107

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50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972) by Bo-Wen Shen,Roger Pielke Sr,Xubin Zeng Pdf

Celebrate the 50th anniversary of the metaphorical butterfly effect, born from Edward Lorenz's 1963 work on initial condition sensitivity. In 1972, it became a metaphor for illustrating how minor changes could yield an organized system. Lorenz Models: Chaos & Regime Changes Explore Lorenz models' 1960-2008 evolution, chaos theory, and attractors. Unraveling High-dimensional Instability Challenge norms in "Butterfly Effect without Chaos?" as non-chaotic elements contribute uniquely. Modeling Atmospheric Dynamics Delve into atmospheric dynamics via "Storm Sensitivity Study." Navigating Data Assimilation Explore data assimilation's dance in chaotic and nonchaotic settings via the observability Gramian. Chaos, Instability, Sensitivities Explore chaos, instability, and sensitivities with Lorenz 1963 & 1969 models. Unraveling Tropical Mysteries Investigate tropical atmospheric instability, uncovering oscillation origins and cloud-radiation interactions. Chaos and Order Enter atmospheric regimes, exploring attractor coexistence and predictability. The Art of Prediction Peer into predictability realms, tracing the "butterfly effect's" impact on predictions. Navigating Typhoons Journey through typhoons, exploring rainfall and typhoon trajectory prediction. Analyzing Sea Surface Temperature Examine nonlinear analysis for classification. Computational Fluid Dynamics Immerse in geophysical fluid dynamics progress, simulating atmospheric phenomena.

Author : Anonim
Publisher : Unknown
Page : 338 pages
File Size : 44,7 Mb
Release : 1987
Category : Mechanics, Applied
ISBN : OSU:32435026160796

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Applied Mechanics Reviews by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 892 pages
File Size : 53,7 Mb
Release : 1994
Category : Aeronautics
ISBN : UIUC:30112005547648

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Scientific and Technical Aerospace Reports by Anonim Pdf