Download or read book Vorticity and Vortex Dynamics written by Jie-Zhi Wu and published by Springer Science & Business Media. This book was released on 2007-04-20 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vortex Structures in a Stratified Fluid written by Sergey I. Voropayev and published by CRC Press. This book was released on 1994-05-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Motion of Turbulent Vortex pairs in Homogeneous and Density Stratified Media written by Marshall P. Tulin and published by . This book was released on 1971 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory for the motion of two-dimensional turbulent vortex pairs in homogeneous media has been developed based on separate velocity scaling of the internal and external flow fields involved in the motion and taking into account variations in volume, circulation, momentum, and energy. Based on the results obtained from this theory, a simplified theory is derived to deal with the rising motion of turbulent vortex pairs in stratified media. The theoretical results are compared with systematic experimental observations.
Download or read book On the Stability of Vortex Motions in Compressible Stratified Fluids written by Y. T. Fung and published by . This book was released on 1981 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Necessary conditions for stability of a general class of compressible vortex flows are obtained using the method of generalized progressing wave expansion. The vortex motion and its density are assumed to vary in both the radial and axial directions. These conditions, representing a state of statically stable distribution for the steady flow, require that the flow be stable in the centrifugal force field created by the rotation of the fluids, in the gravitational force field arised from the density variation in the vertical direction, and in the pressure field constraining the density stratification in both directions. These results also suggest the likely behavior of the Richardson criterion for stability of the flow yet to be derived. (Author).
Download or read book Dynamics of Vortex Structures in a Stratified Rotating Fluid written by Mikhail A. Sokolovskiy and published by Springer Science & Business Media. This book was released on 2013-08-28 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fluid Vortices written by Sheldon Green and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Vortex Methods and Vortex Motion written by Karl E. Gustafson and published by SIAM. This book was released on 1991-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortex methods have emerged as a new class of powerful numerical techniques to analyze and compute vortex motion. This book addresses the theoretical, numerical, computational, and physical aspects of vortex methods and vortex motion.
Download or read book Stratified Flows written by Chia-Shun Yih and published by Elsevier. This book was released on 2012-12-02 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stratified Flows is the second edition of the book Dynamics of Nonhomogenous Fluids. This book discusses the flow of a fluid of variable density or entropy in a gravitational field. In this edition, corrections have been made; unnecessary parts have been omitted; and new sections as well as notes on results related to the subject have been added. This book includes a general discussion of the effects of density or entropy and the structure of stratified flows; waves of small amplitude; the Eigenvalue problem; dependence of phase velocity on wavelength; wave motion; steady flows of finite amplitude; and types of solutions for steady flows. This edition also covers other topics such as hydrodynamic stability; flows in porous media; and the analogy between gravitational and electromagnetic forces. This text is recommended for those in the field of physics who would like to be familiarized with stratified flows and its related concepts.
Download or read book Surface and Internal Signatures of Organized Vortex Motions in Stratified Fluid written by Y. T. Fung and published by . This book was released on 1993 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Evolution of a Counter rotating Vortex Pair in a Stably Stratified Fluid written by Hideaki Tsutsui and published by . This book was released on 2003 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Equation for Vortex Motion Including Effects of Buoyancy and Sources with Applications to Tornadoes written by Robert C. Costen and published by . This book was released on 1970 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new equation is derived for the motion of vorticity in a general fluid, including the effects of viscosity, compressibility, nonhomogeneity, and nonconservative forces. The equation holds, in particular, for vortices which may not move with the fluid. A linearized form of this equation is applied to tornado cyclones and to the twin tornado of April 11, 1965, near Elkhart, Indiana. It is shown that the displacement of tornado cyclones to the right of the mean tropospheric winds may be accounted for by the upward efflux of fluid from the cyclone into the jet stream. Also, the retarded revolution rate of the twin tornado may be due in part to an attractive "buoyancy" force acting on the partially rarefied cores of the pair.
Download or read book Vortex Streets in Stably Stratified Fluids written by Yih-Ho Pao and published by . This book was released on 1968 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periodic vortices (vortex street) formed behind a circular cylinder in a flow of a stably stratified fluid with constant upstream velocity and density gradient are investigated experimentally. The vortices are elliptic in shape, and the vertical spacings between them decrease rapidly along the wake. The vortex street collapses into internal waves far downstream. The on-set of the vortex street is determined in terms of a stability parameter sigma ( = Ri to the 1/2 power/Log10(Re/40), Re > 40), a function of Reynolds number Re and Richardson number Ri. It is found that for sigma > 1, the flow is extremely stable and there are no periodic vortices formed in the wake. As sigma decreases to less than unity (sigma
Download or read book Elements of the Mathematical Theory of Fluid Motion written by Thomas Craig and published by . This book was released on 1879 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vortex Flow written by Akira Ogawa and published by CRC Press. This book was released on 1992-11-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortex Flow presents a detailed description of the natural phenomena of vortices, fundamental concepts, and applications of the vortex flows. Numerous figures and examples illustrate concepts presented in this interesting book for mechanical, chemical, powder, and aeronautical engineers and engineering students.
Download or read book THE TOWING OF BODIES IN A STRATIFIED FLUID written by WALTER DEBLER and published by . This book was released on 1971 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Concentrated Vortices written by S. V. Alekseenko and published by Springer Science & Business Media. This book was released on 2007-08-29 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Wave and Vortex Motion written by Thomas Craig and published by . This book was released on 1879 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
