Bifurcations In Flow Patterns

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Bifurcations In Flow Patterns
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Author : P.G. Bakker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Bifurcations In Flow Patterns written by P.G. Bakker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations.
Bifurcations In Flow Patterns
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Author : P. G. Bakker
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-10-31
Bifurcations In Flow Patterns written by P. G. Bakker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-31 with Science categories.
The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations.
Bifurcations In Flow Patterns
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Author : Pieter Gerrit Bakker (aerodynamics)
language : en
Publisher:
Release Date : 1988
Bifurcations In Flow Patterns written by Pieter Gerrit Bakker (aerodynamics) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Continuation And Bifurcations Numerical Techniques And Applications
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Author : Dirk Roose
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Continuation And Bifurcations Numerical Techniques And Applications written by Dirk Roose and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Proceedings of the NATO Advanced Research Workshop, Leuven, Belgium, September 18-22, 1989
Bifurcation Symmetry And Patterns
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Author : Jorge Buescu
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Bifurcation Symmetry And Patterns written by Jorge Buescu and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book represents the latest developments on both the theory and applications of bifurcations with symmetry. It includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.
Biological Flows
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Author : Colin G. Caro
language : en
Publisher: Springer
Release Date : 2013-12-19
Biological Flows written by Colin G. Caro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-19 with Science categories.
Biomechanics has a distinguished history extending at least to the 16th Century. However the later half oftbis century has seen an explosion ofthe field with it being viewed as affering exciting challenges for physical scientists and engineers interested in the life sciences, and wonderful opportunities for life scientists eager to collaborate with physical scientists and engineers and to render their scientific work more fundamental. That the field is now weil established and expanding is demonstrated by the formation of a World Committee for Biomechanics and the success and large participation in the 1st and 2nd World Congresses of Biomechanics, held respectively in San Diego in 1990 and in Amsterdam in 1994. With more than 1350 scientific papers delivered at the 2nd World Congress, either within symposia or oral or poster sessions, it would have been out of the question to try to produce comprehensive edited proceedings. Moreover, we are confident that most of the papers have been or will be published in one ofthe excellentjoumals covering the field. But of effort contributed by the plenary lecturers and the tutorial we thought that the large amount and keynote speakers of various symposia deserved tobe recognised in the form of a specific publication, thus also allowing those unable to attend the presentatiops . . tC\ sh?r~ in the findings. Furthermore, we feel that there is now a need to review aspects 'oftlie freld.
Pattern Formation In Viscous Flows
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Author : Rita Meyer-Spasche
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Pattern Formation In Viscous Flows written by Rita Meyer-Spasche and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
It seems doubtful whether we can expect to understand fully the instability of fluid flow without obtaining a mathematical representa tion of the motion of a fluid in some particular case in which instability can actually be ob served, so that a detailed comparison can be made between the results of analysis and those of experiment. - G.l. Taylor (1923) Though the equations of fluid dynamics are quite complicated, there are configurations which allow simple flow patterns as stationary solutions (e.g. flows between parallel plates or between rotating cylinders). These flow patterns can be obtained only in certain parameter regimes. For parameter values not in these regimes they cannot be obtained, mainly for two different reasons: • The mathematical existence of the solutions is parameter dependent; or • the solutions exist mathematically, but they are not stable. For finding stable steady states, two steps are required: the steady states have to be found and their stability has to bedetermined.
Comprehensive Treatise On Coronary Artery Disease Cad Bifurcation Blockage
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Author : Dr. Spineanu Eugenia
language : en
Publisher: Dr. Spineanu Eugenia
Release Date : 2025-03-12
Comprehensive Treatise On Coronary Artery Disease Cad Bifurcation Blockage written by Dr. Spineanu Eugenia and has been published by Dr. Spineanu Eugenia this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-12 with Medical categories.
Dive into the intricate world of Coronary Artery Disease (CAD) with our comprehensive treatise on Bifurcation Blockage. This authoritative guide, written by a seasoned medical expert, unfolds over meticulously crafted chapters, providing an in-depth exploration of CAD epidemiology, risk factors, and underlying biochemistry. Unravel the structural intricacies of coronary arteries, delving into branching patterns and bifurcation anatomy. Journey through the dynamics of blood supply, collateral circulation, and microcirculation, gaining profound insights into atherosclerosis mechanisms, inflammation, and lipid roles. Navigate the progression to CAD, understanding plaque formation, and endothelial dysfunction. Specialized chapters unveil the world of Bifurcation Blockage, its definition, prevalence, and hemodynamic impacts. Explore classifications, symptoms, and diagnostic tools, paving the way for in-depth discussions on medical, interventional, and surgical management. Uncover complications, prognostic factors, and novel therapeutic horizons. This treatise, combining medical rigor with holistic perspectives, is your gateway to a profound understanding of CAD's complexities.
World Congress Of Nonlinear Analysts 92
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Author : V. Lakshmikantham
language : en
Publisher: Walter de Gruyter
Release Date : 2011-11-14
World Congress Of Nonlinear Analysts 92 written by V. Lakshmikantham and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-14 with Mathematics categories.
No detailed description available for "World Congress of Nonlinear Analysts '92".
River Dynamics
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Author : Bruce L. Rhoads
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-07
River Dynamics written by Bruce L. Rhoads and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-07 with Nature categories.
A comprehensive overview of the geomorphological processes that shape rivers and that should be considered in river management.