Three-dimensional Vortex-body Interaction in a Viscous Fluid

Three-dimensional Vortex-body Interaction in a Viscous Fluid

Author: Jeffrey S. Marshall

Publisher:

Published: 1999

Total Pages: 50

ISBN-13:

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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.


Book Synopsis Three-dimensional Vortex-body Interaction in a Viscous Fluid by : Jeffrey S. Marshall

Download or read book Three-dimensional Vortex-body Interaction in a Viscous Fluid written by Jeffrey S. Marshall and published by . This book was released on 1999 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Normal Vortex-body Interaction in Three-dimensional Viscous Flow

Normal Vortex-body Interaction in Three-dimensional Viscous Flow

Author: Srikanth Krishnamoorthy

Publisher:

Published: 1997

Total Pages: 190

ISBN-13:

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Book Synopsis Normal Vortex-body Interaction in Three-dimensional Viscous Flow by : Srikanth Krishnamoorthy

Download or read book Normal Vortex-body Interaction in Three-dimensional Viscous Flow written by Srikanth Krishnamoorthy and published by . This book was released on 1997 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Vorticity and Vortex Dynamics

Vorticity and Vortex Dynamics

Author: Jie-Zhi Wu

Publisher: Springer Science & Business Media

Published: 2007-04-20

Total Pages: 776

ISBN-13: 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.


Book Synopsis Vorticity and Vortex Dynamics by : Jie-Zhi Wu

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.


Three-Dimensional Attached Viscous Flow

Three-Dimensional Attached Viscous Flow

Author: Ernst Heinrich Hirschel

Publisher: Springer Science & Business Media

Published: 2013-10-29

Total Pages: 396

ISBN-13: 3642413781

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Viscous flow is treated usually in the frame of boundary-layer theory and as two-dimensional flow. Books on boundary layers give at most the describing equations for three-dimensional boundary layers, and solutions often only for some special cases. This book provides basic principles and theoretical foundations regarding three-dimensional attached viscous flow. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers. This wider scope is necessary in view of the theoretical and practical problems to be mastered in practice. The topics are weak, strong, and global interaction, the locality principle, properties of three-dimensional viscous flow, thermal surface effects, characteristic properties, wall compatibility conditions, connections between inviscid and viscous flow, flow topology, quasi-one- and two-dimensional flows, laminar-turbulent transition and turbulence. Though the primary flight speed range is that of civil air transport vehicles, flows past other flying vehicles up to hypersonic speeds are also considered. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers, as this wider scope is necessary in view of the theoretical and practical problems that have to be overcome in practice. The specific topics covered include weak, strong, and global interaction; the locality principle; properties of three-dimensional viscous flows; thermal surface effects; characteristic properties; wall compatibility conditions; connections between inviscid and viscous flows; flow topology; quasi-one- and two-dimensional flows; laminar-turbulent transition; and turbulence. Detailed discussions of examples illustrate these topics and the relevant phenomena encountered in three-dimensional viscous flows. The full governing equations, reference-temperature relations for qualitative considerations and estimations of flow properties, and coordinates for fuselages and wings are also provided. Sample problems with solutions allow readers to test their understanding.


Book Synopsis Three-Dimensional Attached Viscous Flow by : Ernst Heinrich Hirschel

Download or read book Three-Dimensional Attached Viscous Flow written by Ernst Heinrich Hirschel and published by Springer Science & Business Media. This book was released on 2013-10-29 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscous flow is treated usually in the frame of boundary-layer theory and as two-dimensional flow. Books on boundary layers give at most the describing equations for three-dimensional boundary layers, and solutions often only for some special cases. This book provides basic principles and theoretical foundations regarding three-dimensional attached viscous flow. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers. This wider scope is necessary in view of the theoretical and practical problems to be mastered in practice. The topics are weak, strong, and global interaction, the locality principle, properties of three-dimensional viscous flow, thermal surface effects, characteristic properties, wall compatibility conditions, connections between inviscid and viscous flow, flow topology, quasi-one- and two-dimensional flows, laminar-turbulent transition and turbulence. Though the primary flight speed range is that of civil air transport vehicles, flows past other flying vehicles up to hypersonic speeds are also considered. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers, as this wider scope is necessary in view of the theoretical and practical problems that have to be overcome in practice. The specific topics covered include weak, strong, and global interaction; the locality principle; properties of three-dimensional viscous flows; thermal surface effects; characteristic properties; wall compatibility conditions; connections between inviscid and viscous flows; flow topology; quasi-one- and two-dimensional flows; laminar-turbulent transition; and turbulence. Detailed discussions of examples illustrate these topics and the relevant phenomena encountered in three-dimensional viscous flows. The full governing equations, reference-temperature relations for qualitative considerations and estimations of flow properties, and coordinates for fuselages and wings are also provided. Sample problems with solutions allow readers to test their understanding.


Three-Dimensional Vortex Interactions in Turbulent Boundary Layers

Three-Dimensional Vortex Interactions in Turbulent Boundary Layers

Author: C. R. Smith

Publisher:

Published: 1985

Total Pages: 99

ISBN-13:

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A combined analytical experimental program, which has as its continuing objective the detailed investigation of the three dimensional vortex interactions which take place in turbulent boundary layers, is described and the accomplishments detailed. The analytical and numerical studies have examined both the development and characteristics of loop and hairpin vortices in both uniform and shear flows; particular attention has been paid to the strong three dimensional, inviscid viscous interaction of these types of vortical flow structures with wall region fluid. The experimental studies have focussed on the creation & detailed examination of three dimensional hairpin vortices, developing flow visualization patterns for cross-comparison with both the analytical studies and fully turbulent boundary layer flows. A technique for developing quantitative data by image processing of the visualization patterns is also described. Keywords: Turbulent boundary layer; Coherent structure; Flow visualization; Numerical modelling; Vortex wall interactions; Computer aided analysis; Loop vortices; Hairpin vortices.


Book Synopsis Three-Dimensional Vortex Interactions in Turbulent Boundary Layers by : C. R. Smith

Download or read book Three-Dimensional Vortex Interactions in Turbulent Boundary Layers written by C. R. Smith and published by . This book was released on 1985 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: A combined analytical experimental program, which has as its continuing objective the detailed investigation of the three dimensional vortex interactions which take place in turbulent boundary layers, is described and the accomplishments detailed. The analytical and numerical studies have examined both the development and characteristics of loop and hairpin vortices in both uniform and shear flows; particular attention has been paid to the strong three dimensional, inviscid viscous interaction of these types of vortical flow structures with wall region fluid. The experimental studies have focussed on the creation & detailed examination of three dimensional hairpin vortices, developing flow visualization patterns for cross-comparison with both the analytical studies and fully turbulent boundary layer flows. A technique for developing quantitative data by image processing of the visualization patterns is also described. Keywords: Turbulent boundary layer; Coherent structure; Flow visualization; Numerical modelling; Vortex wall interactions; Computer aided analysis; Loop vortices; Hairpin vortices.


Fluid Vortices

Fluid Vortices

Author: Beverley Green

Publisher: Springer Science & Business Media

Published: 1995-03-31

Total Pages: 916

ISBN-13: 9780792333760

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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.


Book Synopsis Fluid Vortices by : Beverley Green

Download or read book Fluid Vortices written by Beverley Green and published by Springer Science & Business Media. This book was released on 1995-03-31 with total page 916 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.


Vortex Dynamics

Vortex Dynamics

Author: P. G. Saffman

Publisher: Cambridge University Press

Published: 1995-02-24

Total Pages: 332

ISBN-13: 9780521477390

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Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.


Book Synopsis Vortex Dynamics by : P. G. Saffman

Download or read book Vortex Dynamics written by P. G. Saffman and published by Cambridge University Press. This book was released on 1995-02-24 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.


Vortex Methods: Selected Papers Of The First International Conference On Vortex Methods

Vortex Methods: Selected Papers Of The First International Conference On Vortex Methods

Author: Kyoji Kamemoto

Publisher: World Scientific

Published: 2000-05-11

Total Pages: 228

ISBN-13: 9814493287

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Vortex methods have been developed and applied to many kinds of flows related to various problems in wide engineering and scientific fields. The purpose of the First International conference on Vortex methods was to provide an opportunity for engineers and scientists to present their achievements, exchange ideas and discuss new developments in mathematical and physical modeling techniques and engineering applications of vortex methods.


Book Synopsis Vortex Methods: Selected Papers Of The First International Conference On Vortex Methods by : Kyoji Kamemoto

Download or read book Vortex Methods: Selected Papers Of The First International Conference On Vortex Methods written by Kyoji Kamemoto and published by World Scientific. This book was released on 2000-05-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortex methods have been developed and applied to many kinds of flows related to various problems in wide engineering and scientific fields. The purpose of the First International conference on Vortex methods was to provide an opportunity for engineers and scientists to present their achievements, exchange ideas and discuss new developments in mathematical and physical modeling techniques and engineering applications of vortex methods.


Numerical Study on Cut-and-connect of Three Dimensional Vortex Tubes

Numerical Study on Cut-and-connect of Three Dimensional Vortex Tubes

Author: H. L. Chen

Publisher:

Published: 1991

Total Pages: 68

ISBN-13:

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In the present study, generation of two vortex rings and their cut-and-connect process were numerically simulated by solving three-dimensional and time-dependent Navier-Stokes equations, under conditions similar to the laboratory experiment. In order to explain the mechanism of cut-and-connect, velocity, vorticity, pressure, helicity density and energy dissipation were examined for the flow field of the cut-and-connect of vortex rings. The present study revealed that energy dissipation is an essential process for circulation cancellation during vortex tubes cutting. Based on this energy dissipation mechanism, it is concluded that the cut-and-connect of vortex tubes may occur in the limit of inviscid flows. This conclusion is particularly important to the three-dimensional discrete vortex method for computing high Reynolds number flows. Features of helicity in the three-dimensional flow field of cut-and-connect process of vortex tubes were also investigated. The relation between the helicity density and the energy dissipation function in the three-dimensional flow field was examined.


Book Synopsis Numerical Study on Cut-and-connect of Three Dimensional Vortex Tubes by : H. L. Chen

Download or read book Numerical Study on Cut-and-connect of Three Dimensional Vortex Tubes written by H. L. Chen and published by . This book was released on 1991 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present study, generation of two vortex rings and their cut-and-connect process were numerically simulated by solving three-dimensional and time-dependent Navier-Stokes equations, under conditions similar to the laboratory experiment. In order to explain the mechanism of cut-and-connect, velocity, vorticity, pressure, helicity density and energy dissipation were examined for the flow field of the cut-and-connect of vortex rings. The present study revealed that energy dissipation is an essential process for circulation cancellation during vortex tubes cutting. Based on this energy dissipation mechanism, it is concluded that the cut-and-connect of vortex tubes may occur in the limit of inviscid flows. This conclusion is particularly important to the three-dimensional discrete vortex method for computing high Reynolds number flows. Features of helicity in the three-dimensional flow field of cut-and-connect process of vortex tubes were also investigated. The relation between the helicity density and the energy dissipation function in the three-dimensional flow field was examined.


Viscous-inviscid Interaction with Higher-order Viscous-flow Equations

Viscous-inviscid Interaction with Higher-order Viscous-flow Equations

Author: Sungyul Yoo

Publisher:

Published: 1987

Total Pages: 0

ISBN-13:

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A viscous inviscid interaction method for three dimensional flows, in which the partially parabolic Reynolds equations are coupled with an inviscid flow solution procedure in an interactive and iterative manner, is applied to two simple three dimensional bodies for which experimental data are available for comparison. The relative merits of interactive and global solution procedures are evaluation by comparing the viscous inviscid interaction solutions with noninteractive large domain solutions of only the viscous flow equations. Both methods yield satisfactory results, although the interaction solutions are found to be computationally more efficient for the cases considered. Keywords: Thick Three Dimensional Layer; Viscous Inviscid Interaction; Partially parabolic Equations; Computational Fluid Dynamics.


Book Synopsis Viscous-inviscid Interaction with Higher-order Viscous-flow Equations by : Sungyul Yoo

Download or read book Viscous-inviscid Interaction with Higher-order Viscous-flow Equations written by Sungyul Yoo and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A viscous inviscid interaction method for three dimensional flows, in which the partially parabolic Reynolds equations are coupled with an inviscid flow solution procedure in an interactive and iterative manner, is applied to two simple three dimensional bodies for which experimental data are available for comparison. The relative merits of interactive and global solution procedures are evaluation by comparing the viscous inviscid interaction solutions with noninteractive large domain solutions of only the viscous flow equations. Both methods yield satisfactory results, although the interaction solutions are found to be computationally more efficient for the cases considered. Keywords: Thick Three Dimensional Layer; Viscous Inviscid Interaction; Partially parabolic Equations; Computational Fluid Dynamics.