Author: F. Boysan
Publisher:
ISBN:
Category : Vortex-motion
Languages : en
Pages :
Book Description
Numerical Prediction of Confined Vortex Flows
Numerical Prediction of Confined Turbulent Vortex Flows
Numerical Prediction of Confined Turbulent Vortex Flows
A Numerical Investigation of a Confined Vortex Problem
Author: Robin E. Textor
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 66
Book Description
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 66
Book Description
A Review of Confined Vortex Flows
Author: W. S. Lewellen
Publisher:
ISBN:
Category : Vortex-motion
Languages : en
Pages : 236
Book Description
Publisher:
ISBN:
Category : Vortex-motion
Languages : en
Pages : 236
Book Description
Vortex Flows and Related Numerical Methods
Author: J.T. Beale
Publisher: Springer Science & Business Media
ISBN: 9401581371
Category : Technology & Engineering
Languages : en
Pages : 385
Book Description
Many important phenomena in fluid motion are evident in vortex flow, i.e., flows in which vortical structures are significant in determining the whole flow. This book, which consists of lectures given at a NATO ARW held in Grenoble (France) in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling. Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection. For researchers and graduate students in computational fluid dynamics, numerical analysis, and applied mathematics.
Publisher: Springer Science & Business Media
ISBN: 9401581371
Category : Technology & Engineering
Languages : en
Pages : 385
Book Description
Many important phenomena in fluid motion are evident in vortex flow, i.e., flows in which vortical structures are significant in determining the whole flow. This book, which consists of lectures given at a NATO ARW held in Grenoble (France) in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling. Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection. For researchers and graduate students in computational fluid dynamics, numerical analysis, and applied mathematics.
Numerical Prediction of Flow in Slender Vortices
Vortex Ring Models
Author: Ionut Danaila
Publisher: Springer Nature
ISBN: 3030681505
Category : Technology & Engineering
Languages : en
Pages : 206
Book Description
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.
Publisher: Springer Nature
ISBN: 3030681505
Category : Technology & Engineering
Languages : en
Pages : 206
Book Description
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.
On the Effect of Boundaries on Confined Vortex Matter Systems
Author: Austin Alexander Tomlinson
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
In this thesis, we investigate the effects of boundaries on confined superconducting vortex matter systems. We are primarily interested in understanding the properties of the so-called `row-drop' transition in a density-driven, confined flow channel, reported by J. Watkins. We present numerical and analytic calculations that reveal chaos, structural progression, and novel energetic behaviour. Firstly, we study a cylindrical geometry of confined vortices. Vortices align to form a regular structure that wraps around the cylinder in a commensurate fashion. We find a set of analytic equations and solve them exactly to find all possible lattices. Combining numerical results with energetic arguments enables us to construct the phase diagram of structural ground states for arbitrary circumference and density. Following this, we generalise the results from the cylinder to a numerical study of a conical geometry of flowing vortices. We are able to accurately predict the lattice structures given the geometry of the cone and the density of vortices on its surface. By developing the theory of lattice structures on the cylinder, we propose a way of generating a single flowing lattice on the cone, subject to a source and sink reservoir of vortices at either end. Numerical simulations confirm this proposition. Finally, we simulate vortices confined to a narrow, constricted channel constructed out of static, pinned vortices. By carefully controlling system parameters, we observe the emergence of chaotic behaviour centred at the aperture of the constriction. We present results diagrammatically and analyse them using established techniques to extract Lyapunov exponents from time series data.
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
In this thesis, we investigate the effects of boundaries on confined superconducting vortex matter systems. We are primarily interested in understanding the properties of the so-called `row-drop' transition in a density-driven, confined flow channel, reported by J. Watkins. We present numerical and analytic calculations that reveal chaos, structural progression, and novel energetic behaviour. Firstly, we study a cylindrical geometry of confined vortices. Vortices align to form a regular structure that wraps around the cylinder in a commensurate fashion. We find a set of analytic equations and solve them exactly to find all possible lattices. Combining numerical results with energetic arguments enables us to construct the phase diagram of structural ground states for arbitrary circumference and density. Following this, we generalise the results from the cylinder to a numerical study of a conical geometry of flowing vortices. We are able to accurately predict the lattice structures given the geometry of the cone and the density of vortices on its surface. By developing the theory of lattice structures on the cylinder, we propose a way of generating a single flowing lattice on the cone, subject to a source and sink reservoir of vortices at either end. Numerical simulations confirm this proposition. Finally, we simulate vortices confined to a narrow, constricted channel constructed out of static, pinned vortices. By carefully controlling system parameters, we observe the emergence of chaotic behaviour centred at the aperture of the constriction. We present results diagrammatically and analyse them using established techniques to extract Lyapunov exponents from time series data.
Fluid Vortices
Author: Beverley Green
Publisher: Springer Science & Business Media
ISBN: 9780792333760
Category : Technology & Engineering
Languages : en
Pages : 916
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9780792333760
Category : Technology & Engineering
Languages : en
Pages : 916
Book Description
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.