Vortex sheet
A vortex sheet is a term used in fluid mechanics for a surface across which there is a discontinuity in fluid velocity, such as in slippage of one layer of fluid over another. While the tangential components of the flow velocity are discontinuous across the vortex sheet, the normal component of the flow velocity is continuous.

This is an excerpt from the article Vortex sheet from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
The article Vortex sheet at en.wikipedia.org was accessed 130 times in the last 30 days. (as of: 08/25/2013)
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Kármán vortex street - Wikipedia, the free encyclopedia
In fluid dynamics, a Kármán vortex street (or a von Kármán Vortex sheet) is a repeating pattern of swirling vortices caused by the unsteady separation of flow of a ...
en.wikipedia.org/wiki/K%C3%A1rm%C3%A1n_vortex_street
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Vortex sheet - Wikipedia, the free encyclopedia
A Vortex sheet is a term used in fluid mechanics for a surface across which there is a discontinuity in fluid velocity, such as in slippage of one layer of fluid over ...
en.wikipedia.org/wiki/Vortex_sheet
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Lecture F1 - MIT
A source sheet, which effectively consists of infinitesimal sources, must have zero ... of this subdivision process is a Vortex sheet of strength γ = Γ/ℓ. Γ. →. 2 ×. Γ. 2.
web.mit.edu/16.unified/www/SPRING/fluids/Lecture_Notes/f18.pdf
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Vortex Sheets
Vortex sheets. ... A Vortex sheet is defined as a planar array of parallel vortex filaments. Consider a ... plane, in which the vortex filaments run parallel to the $x $ ...
farside.ph.utexas.edu/teaching/336L/Fluidhtml/node99.html
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Eulerian Vortex Motion
Examples include Vortex sheets, vortex dipole sheets, and point vortices. ... The evolution of the Vortex sheet and the velocity field are shown from the side and ...
www.math.ucla.edu/~yanovsky/VortexSheets.htm
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A double vortex sheet model of the viscous flow near the trailing ...
This paper presents a double Vortex sheet model as a development from the single Vortex sheet model of Helmholtz and others. Two bound Vortex sheets define ...
www.sciencedirect.com/science/article/pii/0142727X82900042
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Vortex Sheet Simulations of 3D Flows Using an Adaptive - Deep Blue
Vortex sheet Simulations of 3D Flows Using an. Adaptive Triangular Panel/ Particle Method by. Hualong Feng. A dissertation submitted in partial fulfillment.
deepblue.lib.umich.edu/bitstream/handle/2027.42/55669/hualongf_1.pdf?sequence=2
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Computation of vortex sheet roll-up - University of Michigan
A Vortex sheet is an asymptotic model of a free shear layer in which the transition ... the Vortex sheet model can be useful in understanding the dynamics of ...
www.math.lsa.umich.edu/~krasny/paper_1988_ucla.pdf
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Discretization of a vortex sheet, with an example of roll-up
_The point vortex approximation of, a Vortex sheet in. two space ... is then'applied to the study 'of the roll-up of a Vortex sheet induced by'an' ellip'tically.
math.berkeley.edu/~chorin/CB73.pdf
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The vortex sheet model for a turbulent mixing layer - Abstract ...
Jul 16, 2013 ... The primary aim of this work is to study a temporal mixing layer using the model of instability-induced roll-up of a slightly perturbed Vortex sheet ...
iopscience.iop.org/1402-4896/2013/T155/014003
Search results for "Vortex sheet"
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Vortex sheet in science
[PDF]Computation of vortex sheet roll-up - University of Michigan
A Vortex sheet is an asymptotic model of a free shear layer in which the transition ... the Vortex sheet model can be useful in understanding the dynamics of ...
[PDF]Comparison of regularizations of vortex sheet motion - University of ...
a University of New Mexico, Department of Mathematics and Statistics, Albuquerque, NM 87131, ... The initial condition is a flat Vortex sheet whose vorticity has.
[PDF]A Particle Method and Adaptive Treecode for Vortex Sheet Motion in ...
of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109 ... is applied to simulate the roll-up of a circular-disk Vortex sheet into a vortex ring.
Computation of symmetric, time-periodic solutions of the vortex ...
Feb 4, 2010 ... Computation of symmetric, time-periodic solutions of the Vortex sheet with surface ... aDepartment of Mathematics, Drexel University, Philadelphia, PA ... is introduced for the computation of time-periodic Vortex sheets with ...
[PDF]Vortex Sheet Formulations and Initial Value Problems: Analysis and ...
Aug 6, 2014 ... Discuss analysis and computing of traveling waves using this formulation. David Ambrose (Drexel University). Vortex sheet IVPs. August 6 ...
[PDF]Discretization of a vortex sheet, with an example of roll-up
Department of Mechanical Engineering, University of California, Berkeley 94720 ... _The point vortex approximation of, a Vortex sheet in. two space dimensionsis.
[PDF]A study of singularity formation in vortex-sheet motion by a spectrally ...
Department of Mathematics, University of Chicago, Chicago, IL 60637, USA ... Moore's asymptotic analysis of vortex-sheet motion predicts that the Kelvin-.
Mathematical Sciences: Computational Study of Vortex Sheet Motion
University of Michigan Ann Arbor, Ann Arbor, MI, United States ... The working hypothesis is Prandtl's idea that the Vortex sheet is an asymptotic model for a free  ...
[PDF]Computation of Symmetric, Time-Periodic Solutions of the Vortex ...
department of Mathematics, Drexel University, Philadelphia, PA 19104; and department of ... the Vortex sheet with surface tension, which is the interface be-.
[PDF]“A Particle Method and Adaptive Treecode for Vortex Sheet in ...
Spring Seminar Series. Arthur F. Thurnau Professor of Mathematics. University of Michigan. “A Particle Method and Adaptive Treecode for Vortex. Sheet in ...
Books on the term Vortex sheet
Vortex Dynamics (Cambridge Monographs on Mechanics)
Vortex Dynamics (Cambridge Monographs on Mechanics)
P. G. Saffman, 1995
The discovery of coherent structures in turbulence has fostered the hope that the study of vortices will lead to models and an understanding of turbulent flow, thereby solving or at least making less mysterious one of the great unresolved problems of classical physics. Vortex dynamics is a natural paradigm for the field of chaotic motion and modern...
Vorticity and Vortex Dynamics
Jie-Zhi Wu, Hui-yang Ma, M.-D. Zhou, 2007
No general theory is available for free vortex-layer separated flow even in the Euler limit, because as seen in Sect.4.4.4 the self-induced rolling-up process of a Vortex sheet is inherently nonlinear. One has to appeal to approximate theories or ...
Theory of Vortex Sound (Cambridge Texts in Applied Mathematics)
Theory of Vortex Sound (Cambridge Texts in Applied Mathematics)
M. S. Howe, 2002
This is an introduction to the branch of fluid mechanics concerned with the production of sound by hydrodynamic flows. It is designed for a one semester introductory course at the advanced undergraduate or graduate level. Great care is taken to explain underlying fluid mechanical and acoustic concepts, and to describe fully the steps in a complicat...
Vortex Dynamics and Vortex Methods
Christopher Radcliff Anderson, Claude Greengard, 1991
Do vortex blob computations approximate real fluid motion? The aim of this paper is to discuss some recent applications of the vortex blob method to Vortex sheet motion, and to see how they bear on the foregoing questions. The Vortex sheet ...
Vortex, Molecular Spin and Nanovorticity: An Introduction (SpringerBriefs in Physics)
Vortex, Molecular Spin and Nanovorticity: An Introduction (SpringerBriefs in Physics)
Percival McCormack, 2011
Professor McCormack has made significant contributions to the U.S. space program, as an Engineering Science professor at Dartmouth, and later as Chief of Operational Medicine at N.A.S.A. . He subsequently served as Chief of Aerospace Medicine Research at the Naval Air Warfare Center. He received a U.S. Navy Commendation Medal in 1998, and the Germa...
Mathematical Aspects of Vortex Dynamics
Russel E. Caflisch, 1989
larity at a finite lime well before the appearance of the large-scale roll-up commonly associated with shear layers, and the existence of Vortex sheet motion beyond this singularity time is in question. The first such evidence was provided by ...
Vortex Methods: Theory and Practice
Vortex Methods: Theory and Practice
Georges-Henri Cottet and Petros D. Koumoutsakos, 2000
Vortex methods have matured in recent years, offering an interesting alternative to finite difference and spectral methods for high resolution numerical solutions of the Navier Stokes equations. In the past three decades, research into the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding th...
Theoretical Aerodynamics
L. M. Milne-Thomson, 2012
Then either (i) q 1 − q 0 = 0 which gives no Vortex sheet, a trivial casewhich weignore, or (ii) q 0 + q 1 =0,i.e.the Vortex sheetis atrest by 9·6(3), or(iii) q1− q0and q 1 + q0are perpendicular vectors. In this last case and ω = n(q 1 − q 0 ) are both ...
Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems (Cambridge Engine Technology Series)
Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems (Cambridge Engine Technology Series)
R. I. Lewis, 1991
Panel methods employing surface distributions of source and vortex singularities based on the solution of boundary integral equations have been extensively used for modeling external and internal aerodynamic flows. Part 1 describes the surface vorticity method and illustrates applications of this technique over a wide range of engineering problems ...
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Blog posts on the term
Vortex sheet
Vortex sheet - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Vortex_sheet
Kármán vortex street - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/K%C3%A1rm%C3%A1n_vortex_street
vortex sheet: Definition from Answers.com
Vortex sheet ( vrteks sht ) ( fluid mechanics ) A surface across which there is a discontinuity in fluid velocity, such
www.answers.com/topic/vortex-sheet
Computation of symmetric, time-periodic solutions of the vortex sheet with surface tension
www.pnas.org/content/early/2010/01/25/0910830107.abstract
7.3.5. Vortex sheet for Elementary Fluid Mechanics
Elementary Fluid Mechanics - Free ebook download as PDF File (.pdf), Text file (.txt) or read book online for free. Elementary Fluid Mechanics
www.scribd.com/doc/238785034/98/Vortex-sheet
EconPapers: Singularity formation in a model for the vortex sheet with surface tension
By David M. Ambrose; Abstract: In a recent analytical study, the author has proved well-posedness of the Vortex sheet with surface tension. This work
econpapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:1:p:102-111
Prove That The Velocity Induced Region Surrounding ... | Chegg.com
Answer to Prove that the velocity induced region surrounding a doubly infinite Vortex sheet of constant strength satisfies the equ...
www.chegg.com/homework-help/questions-and-answers/prove-velocity-induced-region-surrounding-doubly-infinite-vortex-sheet-constant-strength-s-q3768075
Journal of Fluid Mechanics - Abstract - On the ‘δ-equations’ for vortex sheet evolution
We use a set of equations, sometimes referred to as the -equations2 = 0 (for which the equations are exact) and for a spectral filter must be used to eliminate spurious instabilities due to round-off error. Two singularities appear simultaneously in the Vortex sheet when 2 > 0, converged solutions were found for all values of 2 used when t > tc. Our results show that when [rightward arrow]0 clearly exists and equals the 2 = 0 solution for these times.
journals.cambridge.org/abstract_S0022112093000552
Journal of Fluid Mechanics - Abstract - Computation of vortex sheet roll-up in the Trefftz plane
Two vortex-sheet evolution problems arising in aerodynamics are studied numerically. The approach is based on desingularizing the Cauchy principal value integral which defines the sheet's velocity. Numerical evidence is presented which indicates that the approach converges with respect to refinement in the mesh-size and the smoothing parameter. For elliptic loading, the computed roll-up is in good agreement with Kaden's asymptotic spiral at early times. Some aspects of the solution's instability to short-wavelength perturbations, for a small value of the smoothing parameter, are inferred by comparing calculations performed with different levels of computer round-off error. The tip vortices’ deformation, due to their mutual interaction, is shown in a long-time calculation. Computations for a simulated fuselage-flap configuration show a complicated process of roll-up, deformation and interaction involving the tip vortex and the inboard neighbouring vortices.
journals.cambridge.org/abstract_S0022112087002830
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