Vortex Motion And Stability With Density Variation Buoyancy And Surface Tension
DOWNLOAD
Download Vortex Motion And Stability With Density Variation Buoyancy And Surface Tension PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Vortex Motion And Stability With Density Variation Buoyancy And Surface Tension book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Vortex Motion And Stability With Density Variation Buoyancy And Surface Tension
DOWNLOAD
Author : Ching Chang
language : en
Publisher:
Release Date : 2020
Vortex Motion And Stability With Density Variation Buoyancy And Surface Tension written by Ching Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
The motion of buoyant vortices is studied using reduced-order models. For a vortex filament, i.e. a curve in three-dimensional space along which vorticity is concentrated as a delta function, the evolution of the filament is calculated using a desingularized Biot-Savart integral. Buoyancy is added using a momentum balance argument while surface tension is also included. A set of equations that couples the transverse motion of the buoyant vortex filament and the axial flow within its core is derived. The new model is verified in an asymptotic limit by comparing it to the previous analytical solution for a thin vortex ring. In another approximation, axisymmetric contour dynamics is implemented to model a buoyant vortex ring of deforming core. A vortex patch is enclosed by a vortex sheet which emerges from baroclinic generation of vorticity. The evolution of the vortex sheet strength is derived from the Euler equation, and represents the effects of density, buoyancy and surface tension on the axisymmetric vortex ring. Numerical calculations for the integro-differential equations are carried out until the curvature singularity of vortex sheet evolution leads to a blowup. Finally, a linear stability analysis is performed for vortices in the presences of density and surface tension. The basic state solution is given as a perturbation series in a small parameter representing curvature of the vortex or a weak strain acting on it. With the small parameter in the basic state, instabilities are triggered by the resonances between two neutrally stable Kelvin waves for the unperturbed vortex. Those parametric instabilities are the curvature instability and the Moore-Saffman-Tsai-Widnall instability, corresponding to the parameter being curvature or a strain. The effects of density and surface tension on these instabilities are studied by calculating the growth rate and the instability bandwidth in various wavenumber regimes.
An Equation For Vortex Motion Including Effects Of Buoyancy And Sources With Applications To Tornadoes
DOWNLOAD
Author : Robert C. Costen
language : en
Publisher:
Release Date : 1970
An Equation For Vortex Motion Including Effects Of Buoyancy And Sources With Applications To Tornadoes written by Robert C. Costen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Winds categories.
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.
Fluid Vortices
DOWNLOAD
Author : Sheldon Green
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fluid Vortices written by Sheldon Green 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 Technology & Engineering categories.
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.
On The Stability Of Vortex Motions In Compressible Stratified Fluids
DOWNLOAD
Author : Y. T. Fung
language : en
Publisher:
Release Date : 1981
On The Stability Of Vortex Motions In Compressible Stratified Fluids written by Y. T. Fung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
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).
The Significance Of Vorticity Vortex Motion And Dissipation In Turbulent Fluid Flows
DOWNLOAD
Author : Lyle Fred Mockros
language : en
Publisher:
Release Date : 1962
The Significance Of Vorticity Vortex Motion And Dissipation In Turbulent Fluid Flows written by Lyle Fred Mockros and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Fluid dynamics categories.
Stability Of Buoyancy Induced Flow Of Water Near The Density Extremum Adjacent To A Vertical Isothermal Surface
DOWNLOAD
Author : Joanne M. Higgins
language : en
Publisher:
Release Date : 1981
Stability Of Buoyancy Induced Flow Of Water Near The Density Extremum Adjacent To A Vertical Isothermal Surface written by Joanne M. Higgins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Buoyant ascent (Hydrodynamics) categories.
Dynamics Of Offshore Structures
DOWNLOAD
Author : Minoo H Patel
language : en
Publisher: Butterworth-Heinemann
Release Date : 2013-10-22
Dynamics Of Offshore Structures written by Minoo H Patel and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.
Dynamics of Offshore Structures provides an integrated treatment of the main subject areas that contribute to the design, construction, installation, and operation of fixed and floating offshore structures. The book begins with an overview of offshore oil and gas development and offshore structures. Separate chapters follow on the ocean environment; basic fluid mechanics; gravity wave theories; fluid loading on offshore structures; hydrostatics and dynamic response of floating bodies; and model testing of offshore structures. This book is prepared with particular emphasis on the fundamentals of oceanography, basic fluid mechanics, wave theory, hydrodynamics, naval architecture, and structural analysis to meet the needs of students reading ocean engineering or naval architecture, at both undergraduate and postgraduate levels. Basic equations and theoretical results are derived in a rigorous manner but sections on model testing, full-scale measurements, design, and certification are also induced to ensure that the book is of value to professional engineers seeking a balanced treatment of fundamental and practical issues.
Scientific And Technical Aerospace Reports
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1995
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.
Overstability Under Simultaneous Surface Tension Buoyancy And Shear Effects In A Horizontal Liquid Layer
DOWNLOAD
Author : C. Roze
language : en
Publisher:
Release Date : 1990
Overstability Under Simultaneous Surface Tension Buoyancy And Shear Effects In A Horizontal Liquid Layer written by C. Roze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Rotating Thermal Flows In Natural And Industrial Processes
DOWNLOAD
Author : Marcello Lappa
language : en
Publisher: John Wiley & Sons
Release Date : 2012-07-25
Rotating Thermal Flows In Natural And Industrial Processes written by Marcello Lappa and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Science categories.
Rotating Thermal Flows in Natural and Industrial Processes provides the reader with a systematic description of the different types of thermal convection and flow instabilities in rotating systems, as present in materials, crystal growth, thermal engineering, meteorology, oceanography, geophysics and astrophysics. It expressly shows how the isomorphism between small and large scale phenomena becomes beneficial to the definition and ensuing development of an integrated comprehensive framework. This allows the reader to understand and assimilate the underlying, quintessential mechanisms without requiring familiarity with specific literature on the subject. Topics treated in the first part of the book include: Thermogravitational convection in rotating fluids (from laminar to turbulent states); Stably stratified and unstratified shear flows; Barotropic and baroclinic instabilities; Rossby waves and Centrifugally-driven convection; Potential Vorticity, Quasi-Geostrophic Theory and related theorems; The dynamics of interacting vortices, interacting waves and mixed (hybrid) vortex-wave states; Geostrophic Turbulence and planetary patterns. The second part is entirely devoted to phenomena of practical interest, i.e. subjects relevant to the realms of industry and technology, among them: Surface-tension-driven convection in rotating fluids; Differential-rotation-driven (forced) flows; Crystal Growth from the melt of oxide or semiconductor materials; Directional solidification; Rotating Machinery; Flow control by Rotating magnetic fields; Angular Vibrations and Rocking motions; Covering a truly prodigious range of scales, from atmospheric and oceanic processes and fluid motion in "other solar-system bodies", to convection in its myriad manifestations in a variety of applications of technological relevance, this unifying text is an ideal reference for physicists and engineers, as well as an important resource for advanced students taking courses on the physics of fluids, fluid mechanics, thermal, mechanical and materials engineering, environmental phenomena, meteorology and geophysics.