Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 17
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Boghosian, M. E. and Cassel, K. W. 2016. On the origins of vortex shedding in two-dimensional incompressible flows. Theoretical and Computational Fluid Dynamics,


    Balci, A. Andersen, M. Thompson, M. C. and Brøns, M. 2015. Codimension three bifurcation of streamline patterns close to a no-slip wall: A topological description of boundary layer eruption. Physics of Fluids, Vol. 27, Issue. 5, p. 053603.


    Miron, Philippe Vétel, Jérôme and Garon, André 2015. On the flow separation in the wake of a fixed and a rotating cylinder. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 25, Issue. 8, p. 087402.


    Gargano, Francesco Sammartino, Marco Sciacca, Vincenzo and Cassel, Kevin 2014. Viscous-Inviscid Interactions in a Boundary-Layer Flow Induced by a Vortex Array. Acta Applicandae Mathematicae, Vol. 132, Issue. 1, p. 295.


    Boghosian, M. E. and Cassel, K. W. 2013. A pressure-gradient mechanism for vortex shedding in constricted channels. Physics of Fluids, Vol. 25, Issue. 12, p. 123603.


    Cannone, M Lombardo, M C and Sammartino, M 2013. Well-posedness of Prandtl equations with non-compatible data. Nonlinearity, Vol. 26, Issue. 12, p. 3077.


    Gargano, F. Sammartino, M. and Sciacca, V. 2011. High Reynolds number Navier–Stokes solutions and boundary layer separation induced by a rectilinear vortex. Computers & Fluids, Vol. 52, p. 73.


    Keetels, G. H. Kramer, W. Clercx, H. J. H. and van Heijst, G. J. F. 2011. On the Reynolds number scaling of vorticity production at no-slip walls during vortex-wall collisions. Theoretical and Computational Fluid Dynamics, Vol. 25, Issue. 5, p. 293.


    Boghosian, Michael and Cassel, Kevin 2010. 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.

    Cassel, K W and Obabko, A V 2010. A Rayleigh instability in a vortex-induced unsteady boundary layer. Physica Scripta, Vol. T142, p. 014006.


    Bowles, Robert 2007. Lighthill and the triple-deck, separation and transition. Journal of Engineering Mathematics, Vol. 56, Issue. 4, p. 445.


    Kramer, W. Clercx, H. J. H. and van Heijst, G. J. F. 2007. Vorticity dynamics of a dipole colliding with a no-slip wall. Physics of Fluids, Vol. 19, Issue. 12, p. 126603.


    Bowles, Robert Davies, Christopher Marshall, James and Smith, Frank 2005. 4th AIAA Theoretical Fluid Mechanics Meeting.

    Cassel, Kevin and Obabko, Aleksandr 2005. 4th AIAA Theoretical Fluid Mechanics Meeting.

    Borgas, Michael S. Sawford, Brian L. Xu, Shuyi Donzis, Diego A. and Yeung, P. K. 2004. High Schmidt number scalars in turbulence: Structure functions and Lagrangian theory. Physics of Fluids, Vol. 16, Issue. 11, p. 3888.


    Cassel, Kevin and Obabko, Aleksandr 2004. 42nd AIAA Aerospace Sciences Meeting and Exhibit.

    Sengupta, T.K. Chaturvedi, V. Kumar, P. and De, S. 2004. Computation of leading-edge contamination. Computers & Fluids, Vol. 33, Issue. 7, p. 927.


    ×
  • Journal of Fluid Mechanics, Volume 465
  • August 2002, pp. 99-130

Navier–Stokes solutions of unsteady separation induced by a vortex

  • A. V. OBABKO (a1) and K. W. CASSEL (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112002008996
  • Published online: 01 September 2002
Abstract

Numerical solutions of the unsteady Navier–Stokes equations are considered for the flow induced by a thick-core vortex convecting along a surface in a two-dimensional incompressible flow. The presence of the vortex induces an adverse streamwise pressure gradient along the surface that leads to the formation of a secondary recirculation region followed by a narrow eruption of near-wall fluid in solutions of the unsteady boundary-layer equations. The locally thickening boundary layer in the vicinity of the eruption provokes an interaction between the viscous boundary layer and the outer inviscid flow. Numerical solutions of the Navier–Stokes equations show that the interaction occurs on two distinct streamwise length scales depending upon which of three Reynolds-number regimes is being considered. At high Reynolds numbers, the spike leads to a small-scale interaction; at moderate Reynolds numbers, the flow experiences a large-scale interaction followed by the small-scale interaction due to the spike; at low Reynolds numbers, large-scale interaction occurs, but there is no spike or subsequent small-scale interaction. The large-scale interaction is found to play an essential role in determining the overall evolution of unsteady separation in the moderate-Reynolds-number regime; it accelerates the spike formation process and leads to formation of secondary recirculation regions, splitting of the primary recirculation region into multiple corotating eddies and ejections of near-wall vorticity. These eddies later merge prior to being lifted away from the surface and causing detachment of the thick-core vortex.

Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax