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  • Cited by 7
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Smith, Frank T. and Johnson, Edward R. 2016. Movement of a finite body in channel flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Vol. 472, Issue. 2191, p. 20160164.

    Liu, K. and Smith, F. T. 2014. Collisions, rebounds and skimming. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue. 2020, p. 20130351.

    Nilawar, R. S. Johnson, E. R. and McDonald, N. R. 2012. Finite Rossby radius effects on vortex motion near a gap. Physics of Fluids, Vol. 24, Issue. 6, p. 066601.

    Tziannaros, M. and Smith, F. T. 2012. Numerical and Analytical Study of Bladder-Collapse Flow. International Journal of Differential Equations, Vol. 2012, p. 1.

    Hicks, P. D. and Smith, F. T. 2011. Skimming impacts and rebounds on shallow liquid layers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 467, Issue. 2127, p. 653.

    Smith, F. T. and Wilson, P. L. 2011. Fluid-body interactions: clashing, skimming, bouncing. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue. 1947, p. 3007.

    Ellis, A. S. and Smith, F. T. 2010. On the evolving flow of grains down a chute. Journal of Engineering Mathematics, Vol. 68, Issue. 3-4, p. 233.



  • Frank T. Smith (a1) and Andrew S. Ellis (a2)
  • DOI:
  • Published online: 10 December 2009

Interactions between a finite number of bodies and the surrounding fluid, in a channel for instance, are investigated theoretically. In the planar model here the bodies or modelled grains are thin solid bodies free to move in a nearly parallel formation within a quasi-inviscid fluid. The investigation involves numerical and analytical studies and comparisons. The three main features that appear are a linear instability about a state of uniform motion, a clashing of the bodies (or of a body with a side wall) within a finite scaled time when nonlinear interaction takes effect, and a continuum-limit description of the body–fluid interaction holding for the case of many bodies.

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