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  • Cited by 2
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Tardu, F. Sedat 2016. Concomitance of the local spanwise velocity and production in wall turbulence. Physics of Fluids, Vol. 28, Issue. 1, p. 015108.


    Newton, Andrew P. L. and Kim, Eun-Jin 2011. A generic model for transport in turbulent shear flows. Physics of Plasmas, Vol. 18, Issue. 5, p. 052305.


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  • Journal of Fluid Mechanics, Volume 509
  • June 2004, pp. 281-304

Vortex motion in a weak background shear flow

  • KONRAD BAJER (a1), ANDREW P. BASSOM (a2) and ANDREW D. GILBERT (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112004009395
  • Published online: 01 June 2004
Abstract

A point vortex is introduced into a weak background vorticity gradient at finite Reynolds number. As the vortex spreads viscously so the background vorticity becomes wrapped around it, leading to enhanced diffusion of vorticity, but also giving a feedback on the vortex and causing it to move. This is investigated in the linear approximation, using a similarity solution for the advection of weak vorticity around the vortex, at finite and infinite Reynolds number. A logarithmic divergence in the far field requires the introduction of an outer length scale $L$ and asymptotic matching. In this way results are obtained for the motion of a vortex in a weak vorticity field modulated on the large scale $L$ and these are confirmed by means of numerical simulations.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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