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  1. Theoretical and Computational Fluid Dynamics
  2. Theoretical and Computational Fluid Dynamics : Volume 27
  3. Theoretical and Computational Fluid Dynamics : Volume 27, Issue 6, November 2013
  4. Stationary vortex sheets in a stirring flow
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Theoretical and Computational Fluid Dynamics : Volume 31
Theoretical and Computational Fluid Dynamics : Volume 30
Theoretical and Computational Fluid Dynamics : Volume 29
Theoretical and Computational Fluid Dynamics : Volume 28
Theoretical and Computational Fluid Dynamics : Volume 27
Theoretical and Computational Fluid Dynamics : Volume 27, Issue 6, November 2013
Non-unique turbulent boundary layer flows having a moderately large velocity defect: a rational extension of the classical asymptotic theory
Multiplicity of steady solutions in a two-sided lid-driven cavity with different aspect ratios
Stationary vortex sheets in a stirring flow
POD-spectral decomposition for fluid flow analysis and model reduction
Adaptive large eddy simulation with moving grids
An unsteady airfoil theory applied to pitching motions validated against experiment and computation
Lattice Boltzmann simulation of natural convection in nanofluid-filled 2D long enclosures at presence of magnetic field
An analysis of steady/unsteady electroosmotic flows through charged cylindrical nano-channels
Stefan Heinz, Mathematical modeling
Christopher K.W. Tam: Computational aeroacoustics. Wei Shyy and Vigor Yang (eds) : Cambridge University Press, 2012, 481 pp, Hardcover ($125), Kindle ($80)
Theoretical and Computational Fluid Dynamics : Volume 27, Issue 5, September 2013
Theoretical and Computational Fluid Dynamics : Volume 27, Issue 3-4, June 2013
Theoretical and Computational Fluid Dynamics : Volume 27, Issue 1-2, February 2013
Theoretical and Computational Fluid Dynamics : Volume 26
Theoretical and Computational Fluid Dynamics : Volume 25
Theoretical and Computational Fluid Dynamics : Volume 24
Theoretical and Computational Fluid Dynamics : Volume 23
Theoretical and Computational Fluid Dynamics : Volume 22
Theoretical and Computational Fluid Dynamics : Volume 21
Theoretical and Computational Fluid Dynamics : Volume 20
Theoretical and Computational Fluid Dynamics : Volume 19
Theoretical and Computational Fluid Dynamics : Volume 18
Theoretical and Computational Fluid Dynamics : Volume 17
Theoretical and Computational Fluid Dynamics : Volume 16
Theoretical and Computational Fluid Dynamics : Volume 15
Theoretical and Computational Fluid Dynamics : Volume 14
Theoretical and Computational Fluid Dynamics : Volume 13
Theoretical and Computational Fluid Dynamics : Volume 12
Theoretical and Computational Fluid Dynamics : Volume 11
Theoretical and Computational Fluid Dynamics : Volume 10
Theoretical and Computational Fluid Dynamics : Volume 9

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Stationary vortex sheets in a stirring flow

Content Provider SpringerLink
Author O’Neil, Kevin A.
Copyright Year 2013
Abstract Stationary vortex sheets in a two-dimensional stirring flow may be approximated by arrays of stationary point vortices arranged along the support of the sheets. These vortices lie at the roots of a polynomial that satisfies a generalized Lamé differential equation; the polynomial itself (not the roots) determines the complex potential and stream function. In this paper, sufficient conditions for the stirring flow are found so that the differential equation has two independent polynomial solutions with simple closed-form expressions, analogous to hypergeometric polynomials. The corresponding point vortex array then depends on a complex parameter that controls the location of the sheet, so that it may pass through any selected point. Stationary sheets in a periodic flow are approximated by the same method.
Starting Page 777
Ending Page 785
Page Count 9
File Format PDF
ISSN 09354964
Journal Theoretical and Computational Fluid Dynamics
Volume Number 27
Issue Number 6
e-ISSN 14322250
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2013-03-12
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Point vortex Vortex sheet Stirring flow Lamé equation Engineering Fluid Dynamics Classical Continuum Physics Computational Science and Engineering
Content Type Text
Resource Type Article
Subject Fluid Flow and Transfer Processes Condensed Matter Physics Computational Mechanics
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