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Vortex Structures in a Stratified Fluid

Vortex Structures in a Stratified Fluid
Author: Sergey I. Voropayev
Publisher: CRC Press
Total Pages: 244
Release: 1994-05-15
Genre: Mathematics
ISBN: 9780412405600

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A fully systematic treatment of the dynamics of vortex structures and their interactions in a viscous density stratified fluid is provided by this book. The various compact vortex structures such as monopoles, dipoles, quadrupoles, as well as more complex ones are considered theoretically from a physical point of view. Another essential feature of the book is the close combination of theoretical analyses with numerous examples of real flows. The book further provides real physical insight and base for postgraduate students specializing in geophysical and applied fluid dynamics. Among the family of vortex structures considered in the book, the most remarkable are the vortex dipoles. These are fundamental elements of the complex chaotic flows associated with the term 'two-dimensional turbulence'. The appearance of these structures in initially chaotic flows is currently of great interest because of a myriad of geophysical applications. Specific examples include the mushroom-like currents discovered from satellite images of the upper ocean. The book is well illustrated with many original photographs (some in colour) and diagrams.


Dynamics of Vortex Structures in a Stratified Rotating Fluid

Dynamics of Vortex Structures in a Stratified Rotating Fluid
Author: Mikhail A. Sokolovskiy
Publisher: Springer Science & Business Media
Total Pages: 392
Release: 2013-08-28
Genre: Science
ISBN: 3319007890

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This book presents an extensive analysis of the dynamics of discrete and distributed baroclinic vortices in a multi-layer fluid that characterizes the main features of the large and mesoscales dynamics of the atmosphere and the ocean. It widely covers the case of hetonic situations as well as the case of intrathermocline vortices that are familiar in oceanographic and of recognized importance for heat and mass transfers. Extensive typology of such baroclinic eddies is made and analysed with the help of theoretical development and numerical computations. As a whole it gives an overview and synthesis of all the many situations that can be encountered based on the long history of the theory of vortex motion and on many new situations. It gives a renewed insight on the extraordinary richness of vortex dynamics and open the way for new theoretical, observational and experimental advances. This volume is of interest to experts in physical oceanography, meteorology, hydrodynamics, dynamic systems, involved in theoretical, experimental and applied research and lecturers, post-graduate students, and students in these fields.


Coherent Vortex Structures in Fluids and Plasmas

Coherent Vortex Structures in Fluids and Plasmas
Author: Anatoli Tur
Publisher: Springer
Total Pages: 313
Release: 2017-04-09
Genre: Science
ISBN: 3319527339

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This monograph introduces readers to the hydrodynamics of vortex formation, and reviews the last decade of active research in the field, offering a unique focus on research topics at the crossroads of traditional fluids and plasmas. Vortices are responsible for the process of macroscopic transport of momentum, energy and mass, and are formed as the result of spontaneous self-organization. Playing an important role in nature and technology, localized, coherent vortices are regularly observed in shear flows, submerged jets, afterbody flows and in atmospheric boundary layers, sometimes taking on the form of vortex streets. In addition, the book addresses a number of open issues, including but not limited to: which singularities are permitted in a 2D Euler equation besides point vortices? Which other, even more complex, localized vortices could be contained in the Euler equation? How do point vortices interact with potential waves?


Vorticity and Vortex Dynamics

Vorticity and Vortex Dynamics
Author: Jie-Zhi Wu
Publisher: Springer Science & Business Media
Total Pages: 776
Release: 2007-04-20
Genre: Technology & Engineering
ISBN: 3540290281

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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.


Surface and Internal Signatures of Organized Vortex Motions in Stratified Fluid

Surface and Internal Signatures of Organized Vortex Motions in Stratified Fluid
Author: Y. T. Fung
Publisher:
Total Pages: 50
Release: 1993
Genre:
ISBN:

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Internal vortex patterns and the corresponding free surface signatures generated by a submerged sphere moving in a stratified fluid are numerically simulated by a three-dimensional time-dependent computer model. The flow is assumed to be incompressible and hydrostatic, and the Boussinesq approximation is applied. The turbulent mixing is modeled using the Smagorinsky formula for horizontal fluxes and a Richardson number closure for vertical fluxes. The numerical techniques include a second-order finite difference scheme with a staggered and stretched grid system. To efficiently handle the slow baroclinic and the fast barotropic modes in the flow, a split-explicit method is used to separately integrate the two modes in time. This method allows us to economically simulate the time history of the slowly evolving vortices. Preliminary results for the velocity field, the flow pattern, the density distribution, and the induced surface signature are presented. They consistently reveal the existence of coherent structures in the stratified flow field. A mechanism based on the interaction of the wake vorticity and the buoyancy induced oscillation is proposed for the generation and growth of the horizontal vortices in stratified fluids. This mechanism explains why the horizontal vortices appear long after the initial disturbances generated by a submerged moving body have dissipated, and why these vortices exist only in stratified fluids but not in homogenous media. In a forthcoming paper, we will examine how the density distribution, the depth of the moving object, and the depth of the channel floor affect the organized vortex structures and the corresponding surface signatures.


Vortex Structures in Fluid Dynamic Problems

Vortex Structures in Fluid Dynamic Problems
Author: Hector Perez-De-Tejada
Publisher: BoD – Books on Demand
Total Pages: 282
Release: 2017-03-01
Genre: Science
ISBN: 9535129430

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The contents of the book cover topics on vortex dynamics in a variety of flow problems and describe observational measurements and their interpretation. The book contains 13 chapters that first include vortices in the earth and planetary sciences related to vortices in the Venus plasma wake and also on tropical cyclones and on rotating shallow water in the earth's atmosphere. Vortices in fluid problems include airplane wake vortices, vorticity evolution in free-shear flows, together with axisymmetric flows with swirl, as well as thermal conductivities in fluid layers. Vortices in relativistic fluids, in magnetic disks, solitons and vortices, and relaxation for point vortices were also examined. Other chapters describe conditions in a vortex bioreactor and in vortex yarn structures.


Fluid Vortices

Fluid Vortices
Author: Sheldon Green
Publisher: Springer Science & Business Media
Total Pages: 905
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 940110249X

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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.


Vortex Structures in Fluid Dynamic Problems

Vortex Structures in Fluid Dynamic Problems
Author: Hector Perez-de-Tejada
Publisher:
Total Pages: 280
Release: 2017
Genre: Hydraulic engineering
ISBN: 9789535141068

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The contents of the book cover topics on vortex dynamics in a variety of flow problems and describe observational measurements and their interpretation. The book contains 13 chapters that first include vortices in the earth and planetary sciences related to vortices in the Venus plasma wake and also on tropical cyclones and on rotating shallow water in the earth's atmosphere. Vortices in fluid problems include airplane wake vortices, vorticity evolution in free-shear flows, together with axisymmetric flows with swirl, as well as thermal conductivities in fluid layers. Vortices in relativistic fluids, in magnetic disks, solitons and vortices, and relaxation for point vortices were also examined. Other chapters describe conditions in a vortex bioreactor and in vortex yarn structures.


Vortical Flows

Vortical Flows
Author: Jie-Zhi Wu
Publisher: Springer
Total Pages: 453
Release: 2015-06-23
Genre: Technology & Engineering
ISBN: 3662470616

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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.