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  1. Theoretical and Computational Fluid Dynamics
  2. Theoretical and Computational Fluid Dynamics : Volume 23
  3. Theoretical and Computational Fluid Dynamics : Volume 23, Issue 1, March 2009
  4. Laminar co-rotating Batchelor vortex merging
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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 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 23, Issue 6, November 2009
Theoretical and Computational Fluid Dynamics : Volume 23, Issue 5, September 2009
Theoretical and Computational Fluid Dynamics : Volume 23, Issue 4, July 2009
Theoretical and Computational Fluid Dynamics : Volume 23, Issue 3, July 2009
Theoretical and Computational Fluid Dynamics : Volume 23, Issue 2, June 2009
Theoretical and Computational Fluid Dynamics : Volume 23, Issue 1, March 2009
Laminar co-rotating Batchelor vortex merging
Aspect-ratio dependence of transient Taylor vortices close to threshold
Adjoint analysis of the flow over a forward-facing step
A structural model for the vortex tubes of isotropic turbulence
Effect of propellant morphology on acoustics in a planar rocket motor
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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Laminar co-rotating Batchelor vortex merging

Content Provider SpringerLink
Author Ferreira de Sousa, Paulo J. S. A. Pereira, José C. F.
Copyright Year 2009
Abstract The dynamics of laminar co-rotating vortex pairs without axial flow have been recently thoroughly studied through theoretical, experimental and numerical studies, which revealed different instabilities contributing to the decay of the vortices. In this paper, the objective is to extend the analysis to the case of co-rotating vortices with axial flow at low Reynolds numbers. A high-order incompressible Navier–Stokes flow solver is used. The momentum equations are spatially discretized on a staggered mesh by finite differences and all derivatives are evaluated with 10th order compact finite difference schemes with RK-4 temporal discretization. The initial condition is a linear superposition of two co-rotating circular Batchelor vortices with q = 1. It is found that there is an initial evolution that resembles the evolution that single q = 1 vortices go through. Azimuthal disturbances grow and result in the appearance of large-scale helical sheets of vorticity. With the development of these instability waves, the axial velocity deficit is weakened. The redistribution of both angular and axial momentum between the core and the surroundings drives the vortex core to a more stable configuration, with a higher q value. After these processes, the evolution is somewhat similar to a pair of co-rotating Lamb–Oseen vortices. A three-dimensional instability develops, with a large band of unstable modes, with the most amplified mode corresponding scaling with the vortex initial separation distance.
Ending Page 14
Page Count 14
Starting Page 1
File Format PDF
ISSN 09354964
e-ISSN 14322250
Journal Theoretical and Computational Fluid Dynamics
Issue Number 1
Volume Number 23
Language English
Publisher Springer-Verlag
Publisher Date 2009-02-01
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mechanics, Fluids, Thermodynamics Flow simulation Vortices External flows Wakes Engineering Fluid Dynamics 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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