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

    Pullin, D.I. and Meiron, D.I. 2013. Philip G. Saffman. Annual Review of Fluid Mechanics, Vol. 45, Issue. 1, p. 19.


    Fabbri, Massimo Galante, Francesco Negrini, Francesco Takeuchi, Eiichi and Toh, Takehiko 2003. Influence of the electro‐magnetic stirring on the boundary layer of a molten steel pool. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 22, Issue. 1, p. 10.


    Polzin, K. A. Coll, M. Angelats I and Foster, M. R. 2001. Rotating flow past a short, sliced cylinder at finite Rossby number. Geophysical & Astrophysical Fluid Dynamics, Vol. 95, Issue. 1-2, p. 67.


    Tanzosh, John P. and Stone, H. A. 1995. Transverse motion of a disk through a rotating viscous fluid. Journal of Fluid Mechanics, Vol. 301, Issue. -1, p. 295.


    Foster, M. R. 1989. Rotating stratified flow past a steep-sided obstacle: incipient separation. Journal of Fluid Mechanics, Vol. 206, Issue. -1, p. 47.


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    Walker, J. D. A. and Stewartson, K. 1974. Separation and the Taylor-column problem for a hemisphere. Journal of Fluid Mechanics, Vol. 66, Issue. 04, p. 767.


    Foster, M. R. 1972. The flow caused by the differential rotation of a right circular cylindrical depression in one of two rapidly rotating parallel planes. Journal of Fluid Mechanics, Vol. 53, Issue. 04, p. 647.


    Wilcox, David C. 1972. The motion of a plate in a rotating fluid at an arbitrary angle of attack. Journal of Fluid Mechanics, Vol. 56, Issue. 02, p. 221.


    Boyer, Don L. 1971. Rotating flow over long shallow ridges. Geophysical Fluid Dynamics, Vol. 2, Issue. 1, p. 165.


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    Redekopp, Larry G. 1971. The boundary layer on a flat plate moving transversely in a rotating, stratified fluid. Journal of Fluid Mechanics, Vol. 46, Issue. 04, p. 769.


    Vaziri, Arsalan and Boyer, Don L. 1971. Rotating flow over shallow topographies. Journal of Fluid Mechanics, Vol. 50, Issue. 01, p. 79.


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The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquid

  • D. W. Moore (a1), P. G. Saffman (a2) and T. Maxworthy (a3)
  • DOI: http://dx.doi.org/10.1017/S0022112069002497
  • Published online: 01 March 2006
Abstract

A thin circular disk translates slowly in its own plane transverse to the axis of rotation of parallel plane boundaries filled with viscous incompressible liquid. It is shown that the indeterminateness of the geostrophic flow is removed by constraints imposed by the dynamics of free shear layers (Stewartson layers), which surround a Taylor column whose boundary is not a stream surface. Fluid particles cross the Taylor column at the expense of deflexion through a finite angle. A comparison is made with the flow past a fat body (Jacobs 1964), where the geostrophie flow is determined without appeal to the dynamics of the shear layers. The problem is also considered for a disk in an unbounded fluid, and it is shown that to leading order there is no disturbance.

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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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