Vorticity and Vortex Dynamics
Title | Vorticity and Vortex Dynamics PDF eBook |
Author | Jie-Zhi Wu |
Publisher | Springer Science & Business Media |
Total Pages | 776 |
Release | 2007-04-20 |
Genre | Technology & Engineering |
ISBN | 3540290281 |
This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamic process, by which one naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development. In vortex dynamics part the book deals with the formation, motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, transitional, and turbulent flows, including stratified and rotational fluids. Physical understanding of vertical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices. Material usually not seen in books on vortex dynamics is included, such as geophysical vortex dynamics, aerodynamic vortical flow diagnostics and management.
Vortex Dynamics
Title | Vortex Dynamics PDF eBook |
Author | P. G. Saffman |
Publisher | Cambridge University Press |
Total Pages | 332 |
Release | 1995-02-24 |
Genre | Mathematics |
ISBN | 9780521477390 |
Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.
Vortical Flows
Title | Vortical Flows PDF eBook |
Author | Jie-Zhi Wu |
Publisher | Springer |
Total Pages | 453 |
Release | 2015-06-23 |
Genre | Technology & Engineering |
ISBN | 3662470616 |
This book is a comprehensive and intensive book for graduate students in fluid dynamics as well as scientists, engineers and applied mathematicians. Offering a systematic introduction to the physical theory of vortical flows at graduate level, it considers the theory of vortical flows as a branch of fluid dynamics focusing on shearing process in fluid motion, measured by vorticity. It studies vortical flows according to their natural evolution stages,from being generated to dissipated. As preparation, the first three chapters of the book provide background knowledge for entering vortical flows. The rest of the book deals with vortices and vortical flows, following their natural evolution stages. Of various vortices the primary form is layer-like vortices or shear layers, and secondary but stronger form is axial vortices mainly formed by the rolling up of shear layers. Problems are given at the end of each chapter and Appendix, some for helping understanding the basic theories, and some involving specific applications; but the emphasis of both is always on physical thinking.
Fluid Vortices
Title | Fluid Vortices PDF eBook |
Author | Sheldon Green |
Publisher | Springer Science & Business Media |
Total Pages | 905 |
Release | 2012-12-06 |
Genre | Technology & Engineering |
ISBN | 940110249X |
Fluid Vortices is a comprehensive, up-to-date, research-level overview covering all salient flows in which fluid vortices play a significant role. The various chapters have been written by specialists from North America, Europe and Asia, making for unsurpassed depth and breadth of coverage. Topics addressed include fundamental vortex flows (mixing layer vortices, vortex rings, wake vortices, vortex stability, etc.), industrial and environmental vortex flows (aero-propulsion system vortices, vortex-structure interaction, atmospheric vortices, computational methods with vortices, etc.), and multiphase vortex flows (free-surface effects, vortex cavitation, and bubble and particle interactions with vortices). The book can also be recommended as an advanced graduate-level supplementary textbook. The first nine chapters of the book are suitable for a one-term course; chapters 10--19 form the basis for a second one-term course.
Vorticity and Incompressible Flow
Title | Vorticity and Incompressible Flow PDF eBook |
Author | Andrew J. Majda |
Publisher | Cambridge University Press |
Total Pages | 562 |
Release | 2002 |
Genre | Mathematics |
ISBN | 9780521639484 |
This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
Theory of Concentrated Vortices
Title | Theory of Concentrated Vortices PDF eBook |
Author | S. V. Alekseenko |
Publisher | Springer Science & Business Media |
Total Pages | 505 |
Release | 2007-08-29 |
Genre | Technology & Engineering |
ISBN | 3540733760 |
This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation.
Vortex Dynamics and Vortex Methods
Title | Vortex Dynamics and Vortex Methods PDF eBook |
Author | Christopher Radcliff Anderson |
Publisher | American Mathematical Soc. |
Total Pages | 776 |
Release | 1991-12-23 |
Genre | Science |
ISBN | 9780821896969 |
Understanding vortex dynamics is the key to understanding much of fluid dynamics. For this reason, many researchers, using a great variety of different approaches--analytical, computational, and experimental--have studied the dynamics of vorticity. The AMS-SIAM Summer Seminar on Vortex Dynamics and Vortex Methods, held in June 1990 at the University of Washington in Seattle, brought together experts with a broad range of viewpoints and areas of specialization. This volume contains the proceedings from that seminar. The focus here is on the numerical computation of high Reynolds number incompressible flows. Also included is a smaller selection of important experimental results and analytic treatments. Many of the articles contain valuable introductory and survey material as well as open problems. Readers will appreciate this volume for its coverage of a wide variety of numerical, analytical, and experimental tools and for its treatment of interesting important discoveries made with these tools.