Mathematical Modeling And Simulation In Hydrodynamic Stability PDF Download
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| Author | : Daniel N. Riahi |
| Publisher | : World Scientific |
| Total Pages | : 208 |
| Release | : 1996 |
| Genre | : Science |
| ISBN | : 9789810223083 |
Download Mathematical Modeling and Simulation in Hydrodynamic Stability Book in PDF, ePub and Kindle
Hydrodynamic stability is of fundamental importance in the mechanics of fluids and is mainly concerned with the problem of the transition to turbulence. This book is devoted to publication of original research papers, research-expository and survey articles with an emphasis on unsolved problems and open questions in the mathematical modeling and computational aspects of hydrodynamic stability. Review chapters on the mathematical modeling and numerical simulation aspects of hydrodynamic stability, the physical background, and the limitations of the modeling and simulation procedures, due to particular mathematical or computational methods used, are included. This book will be appropriate for use in research and in research-related courses on the subject. It includes chapters on bifurcations in fluid systems, flow patterns, channel flows, non-parallel shear flows, thin-film flows, strong viscous shear flows, Gortler vortices, bifurcations in convection, wavy film flows and boundary layers.
| Author | : P. G. Drazin |
| Publisher | : Cambridge University Press |
| Total Pages | : 278 |
| Release | : 2002-09-09 |
| Genre | : Science |
| ISBN | : 9780521804271 |
Download Introduction to Hydrodynamic Stability Book in PDF, ePub and Kindle
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment. They are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography, physics, and engineering. This is a graduate-level textbook to introduce these phenomena by modeling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized with many figures. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differntial equations, complex variable and the elements of fluid mechanics. The book is aimed at graduate students, but is very useful for specialists in other fields.
| Author | : A. Georgescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 306 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 9401718148 |
Download Hydrodynamic stability theory Book in PDF, ePub and Kindle
The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.
| Author | : P. G. Drazin |
| Publisher | : Cambridge University Press |
| Total Pages | : 630 |
| Release | : 2004-08-05 |
| Genre | : Mathematics |
| ISBN | : 9780521525411 |
Download Hydrodynamic Stability Book in PDF, ePub and Kindle
Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems not only provide exercises for students but also provide many additional results in a concise form. This new edition of this celebrated introduction differs principally by the inclusion of detailed solutions for those exercises, and by the addition of a Foreword by Professor J. W. Miles.
| Author | : W. O. Criminale |
| Publisher | : Cambridge University Press |
| Total Pages | : 465 |
| Release | : 2003-10-23 |
| Genre | : Mathematics |
| ISBN | : 0521632005 |
Download Theory and Computation of Hydrodynamic Stability Book in PDF, ePub and Kindle
The study of hydrodynamic stability is fundamental to many subjects, ranging from geophysics and meteorology through to engineering design. This treatise covers both classical and modern aspects of the subject, systematically developing it from the simplest physical problems, then progressing chapter by chapter to the most complex, considering linear and nonlinear situations, and analysing temporal and spatial stability. The authors examine each problem both analytically and numerically: many chapters end with an appendix outlining relevant numerical techniques. All relevant fluid flows are treated, including those where the fluid may be compressible, or those from geophysics, or those that require salient geometries for description. Details of initial-value problems are explored equally with those of stability. As a result, the early transient period as well as the asymptotic fate for perturbations for a flow can be assessed. The text is enriched with many exercises, copious illustrations and an extensive bibliography and the result is a book that can be used with courses on hydrodynamic stability or as an authoritative reference for researchers.
| Author | : W. O. Criminale |
| Publisher | : Cambridge University Press |
| Total Pages | : 566 |
| Release | : 2018-12-06 |
| Genre | : Science |
| ISBN | : 110869800X |
Download Theory and Computation in Hydrodynamic Stability Book in PDF, ePub and Kindle
The study of hydrodynamic stability is fundamental to many subjects, ranging from geophysics and meteorology through to engineering design. This treatise covers both classical and modern aspects of the subject, systematically developing it from the simplest physical problems, then progressing to the most complex, considering linear and nonlinear situations, and analyzing temporal and spatial stability. The authors examine each problem both analytically and numerically. Many relevant fluid flows are treated, including those where the fluid may be compressible, or those from geophysics, or those that require salient geometries for description. Details of initial-value problems are explored equally with those of stability. The text includes copious illustrations and an extensive bibliography, making it suitable for courses on hydrodynamic stability or as an authoritative reference for researchers. In this second edition the opportunity has been taken to update the text and, most importantly, provide solutions to the numerous extended exercises.
| Author | : W. O. Criminale |
| Publisher | : Cambridge University Press |
| Total Pages | : 565 |
| Release | : 2018-12-06 |
| Genre | : Mathematics |
| ISBN | : 1108475337 |
Download Theory and Computation in Hydrodynamic Stability Book in PDF, ePub and Kindle
Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.
| Author | : Giovanni Naldi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 437 |
| Release | : 2010-08-12 |
| Genre | : Mathematics |
| ISBN | : 0817649468 |
Download Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences Book in PDF, ePub and Kindle
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
| Author | : P. G. Drazin |
| Publisher | : Cambridge University Press |
| Total Pages | : 278 |
| Release | : 2002-09-09 |
| Genre | : Science |
| ISBN | : 1316582876 |
Download Introduction to Hydrodynamic Stability Book in PDF, ePub and Kindle
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.
| Author | : Division on Engineering and Physical Sciences |
| Publisher | : National Academies Press |
| Total Pages | : 304 |
| Release | : 1996-04-21 |
| Genre | : Technology & Engineering |
| ISBN | : 0309053838 |
Download Simulated Voyages Book in PDF, ePub and Kindle
This book assesses the state of practice and use of ship-bridge simulators in the professional development and licensing of deck officers and marine pilots. It focuses on full-mission computer-based simulators and manned models. It analyzes their use in instruction, evaluation and licensing and gives information and practical guidance on the establishment of training and licensing program standards, and on simulator and simulation validation.
