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An Experimental Study Of Viscous Vortex Rings Microform


An Experimental Study Of Viscous Vortex Rings Microform
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An Experimental Study Of Viscous Vortex Rings Microform


An Experimental Study Of Viscous Vortex Rings Microform
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Author : Maurício Dziedzic
language : en
Publisher: National Library of Canada = Bibliothèque nationale du Canada
Release Date : 1994

An Experimental Study Of Viscous Vortex Rings Microform written by Maurício Dziedzic and has been published by National Library of Canada = Bibliothèque nationale du Canada this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.




Vortex Rings


Vortex Rings
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Author : D. G. Akhmetov
language : en
Publisher: Springer
Release Date : 2014-10-31

Vortex Rings written by D. G. Akhmetov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-31 with Technology & Engineering categories.


Vortex flow is one of the fundamental types of fluid and gas motion. These flows are the most spectacular in the form of concentrated vortices, characterized by the localization of vorticity (curl of velocity) in bounded regions of a space, beyond which the vorticity is either absent or rapidly falls down to zero. Concentrated vortices are often observed in nature, exemplified by atmospheric cyclones, whirlwinds and tornados, oceanic vortices, whirlpools on a water s- face, and ring vortices caused by explosive outburst of volcanoes. In technical - vices concentrated vortices form when flow separates from sharp edges of flying vehicles and ships. Among these are vortices flowing off the ends of airplane wings, and intentionally generated vortices for intensification of burning in c- bustion chambers, vortices in cyclonic devices used for mixing or separation of impurities in fluids and gases. One such remarkable and frequent type of conc- trated vortices is a vortex ring which constitutes a vortex tube closed into a t- oidal ring moving in a surrounding fluid like an isolated body out of contact with solid boundaries of the flow region if such boundaries exist. Formation and motion of vortex rings are important part of the dynamics of a continuum medium and have been studied for more than a century.



The Generation And Development Of A Viscous Vortex Ring


The Generation And Development Of A Viscous Vortex Ring
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Author : Kenton David Whitehead
language : en
Publisher:
Release Date : 1967

The Generation And Development Of A Viscous Vortex Ring written by Kenton David Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Fluid dynamics categories.




Vortex Ring Models


Vortex Ring Models
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Author : Ionut Danaila
language : en
Publisher: Springer Nature
Release Date : 2021-04-16

Vortex Ring Models written by Ionut Danaila and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-16 with Technology & Engineering categories.


This book offers a guide to understanding models of vortex rings, starting from classical ones (circular vortex filament, Hill and Norbury-Fraenkel inviscid models) to very recent models incorporating viscous effects and realistic shapes of the vortex core. Unconfined and confined viscous vortex rings are described by closed formulae for vorticity, stream function, translational velocity, energy, impulse and circulation. Models are applied to predict the formation number of optimal vortex rings and to describe two-phase vortex ring-like structures generated in internal combustion engines. The book provides a detailed presentation of analytical developments of models, backed up by illustrations and systematic comparisons with results of direct numerical simulations. The book is useful for graduate students in applied mathematics, engineering and physical sciences. It is a useful reference for researchers and practising engineers interested in modelling flows with vortex rings.



A Numerical Study Of Viscous Vortex Rings Using A Spectral Method


A Numerical Study Of Viscous Vortex Rings Using A Spectral Method
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-17

A Numerical Study Of Viscous Vortex Rings Using A Spectral Method written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-17 with categories.


Viscous, axisymmetric vortex rings are investigated numerically by solving the incompressible Navier-Stokes equations using a spectral method designed for this type of flow. The results presented are axisymmetric, but the method is developed to be naturally extended to three dimensions. The spectral method relies on divergence-free basis functions. The basis functions are formed in spherical coordinates using Vector Spherical Harmonics in the angular directions, and Jacobi polynomials together with a mapping in the radial direction. Simulations are performed of a single ring over a wide range of Reynolds numbers (Re approximately equal gamma/nu), 0.001 less than or equal to 1000, and of two interacting rings. At large times, regardless of the early history of the vortex ring, it is observed that the flow approaches a Stokes solution that depends only on the total hydrodynamic impulse, which is conserved for all time. At small times, from an infinitely thin ring, the propagation speeds of vortex rings of varying Re are computed and comparisons are made with the asymptotic theory by Saffman. The results are in agreement with the theory; furthermore, the error is found to be smaller than Saffman's own estimate by a factor square root ((nu x t)/R squared) (at least for Re=0). The error also decreases with increasing Re at fixed core-to-ring radius ratio, and appears to be independent of Re as Re approaches infinity). Following a single ring, with Re=500, the vorticity contours indicate shedding of vorticity into the wake and a settling of an initially circular core to a more elliptical shape, similar to Norbury's steady inviscid vortices. Finally, we consider the case of leapfrogging vortex rings with Re=1000. The results show severe straining of the inner vortex core in the first pass and merging of the two cores during the second pass. Stanaway, S. K. and Cantwell, B. J. and Spalart, Philippe R. Ames Research Center COMPUTATIONAL FLUID DYNAMICS; NAVIER-STOKES EQUATION...



A Numerical Study Of Viscous Vortex Rings Using A Spectral Method


A Numerical Study Of Viscous Vortex Rings Using A Spectral Method
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Author : Sharon K. Stanaway
language : en
Publisher:
Release Date : 1988

A Numerical Study Of Viscous Vortex Rings Using A Spectral Method written by Sharon K. Stanaway and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Eddies categories.




An Experimental Investigation Of Viscous Vortex Rings And Zero Net Mass Flux Jets


An Experimental Investigation Of Viscous Vortex Rings And Zero Net Mass Flux Jets
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Author : John Edward Cater
language : en
Publisher:
Release Date : 2002

An Experimental Investigation Of Viscous Vortex Rings And Zero Net Mass Flux Jets written by John Edward Cater and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Flow visualization categories.




Vortex Rings And Jets


Vortex Rings And Jets
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Author : Daniel T. H. New
language : en
Publisher: Springer
Release Date : 2015-03-26

Vortex Rings And Jets written by Daniel T. H. New and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-26 with Technology & Engineering categories.


In this book, recent developments in our understanding of fundamental vortex ring and jet dynamics will be discussed, with a view to shed light upon their near-field behaviour which underpins much of their far-field characteristics. The chapters provide up-to-date research findings by their respective experts and seek to link near-field flow physics of vortex ring and jet flows with end-applications in mind. Over the past decade, our knowledge on vortex ring and jet flows has grown by leaps and bounds, thanks to increasing use of high-fidelity, high-accuracy experimental techniques and numerical simulations. As such, we now have a much better appreciation and understanding on the initiation and near-field developments of vortex ring and jet flows under many varied initial and boundary conditions. Chapter 1 outlines the vortex ring pinch-off phenomenon and how it relates to the initial stages of jet formations and subsequent jet behaviour, while Chapter 2 takes a closer look at the behaviour resulting from vortex ring impingement upon solid boundaries and how the use of a porous surface alters the impingement process. Chapters 3 and 4 focus upon the formation of synthetic jets from vortex ring structures experimentally and numerically, the challenges in understanding the relationships between their generation parameters and how they can be utilized in flow separation control problems. Chapter 5 looks at the use of imposing selected nozzle trailing-edge modifications to effect changes upon the near-field dynamics associated with circular, noncircular and coaxial jets, with a view to control their mixing behaviour. And last but not least, Chapter 6 details the use of unique impinging jet configurations and how they may lend themselves towards greater understanding and operating efficacies in heat transfer problems. This book will be useful to postgraduate students and researchers alike who wish to get up to speed regarding the latest developments in vortex ring and jet flow behaviour and how their interesting flow dynamics may be put into good use in their intended applications.



Three Dimensional Vortex Body Interaction In A Viscous Fluid


Three Dimensional Vortex Body Interaction In A Viscous Fluid
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Author : Jeffrey S. Marshall
language : en
Publisher:
Release Date : 1999

Three Dimensional Vortex Body Interaction In A Viscous Fluid written by Jeffrey S. Marshall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Fluid dynamics categories.


An experimental and computational study of the impact of a vortex with a body oriented normal to the vortex axis was performed. Particular focus was placed on understanding characteristics of the secondary vorticity ejected from the body and the interaction of the secondary vorticity with the primary vortex. Since both onset of boundary layer separation and the form of the secondary vorticity structures are sensitive to variation of the velocity normal to the body axis, the effect of normal velocity on vortex-body interaction was carefully examined. The physical features of the flow evolution were categorized in terms of an impact parameter and a thickness parameter, which respectively represent ratios of velocity and length scales associated with the vortex to those associated with the flow in the absence of the vortex. Experiments were performed using a combination of laser-induced fluorescence (LIF) flow visualization and particle-image velocimetry (PIV) in a water tank to examine the form of the secondary vorticity structures with both "high" and "low" values of the impact parameter for normal vortex interaction with a circular cylinder and with a thin blade. A new type of Lagrangian vorticity method based on a tetrahedral mesh was developed and applied to compute the secondary vorticity evolution during vortex-cylinder interaction. Computations were also performed for model problems to examine in detail wrapping of a vortex loop around a columnar vortex and impulsive cutting of a columnar vortex with finite axial flow.



An Experimental Study Of Fusion Of Vortex Rings


An Experimental Study Of Fusion Of Vortex Rings
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Author : Paul Russell Schatzle
language : en
Publisher:
Release Date : 1987

An Experimental Study Of Fusion Of Vortex Rings written by Paul Russell Schatzle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Fluid dynamics categories.