Publications by authors named "Frank T Smith"

If a body is at rest on horizontal ground and a sudden horizontal flow of fluid is applied, the body either remains on the ground (rocking, rolling, sliding or spinning) or is lifted off impulsively. This lift-off is followed by a return to the ground or by a fly-away in the sense of continued departure from the ground. Related phenomena arise in the lift-off of an air vehicle from, effectively, moving ground.

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A body of finite size is moving freely inside, and interacting with, a channel flow. The description of this unsteady interaction for a comparatively dense thin body moving slowly relative to flow at medium-to-high Reynolds number shows that an inviscid core problem with vorticity determines much, but not all, of the dominant response. It is found that the lift induced on a body of length comparable to the channel width leads to differences in flow direction upstream and downstream on the body scale which are smoothed out axially over a longer viscous length scale; the latter directly affects the change in flow directions.

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Collisions, rebounds and skimming.

Philos Trans A Math Phys Eng Sci

July 2014

Repeated oblique impacts and rebounds of a solid body or bodies on horizontal shallow water are investigated through mathematical modelling. The inclinations from the horizontal are supposed small as the skimming evolves, for a thin typical body shape. The new formulation aimed at improved prediction as well as the background involved is presented together with nonlinear analysis and computation.

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Solid-solid and solid-fluid impacts and bouncing are the concern here. A theoretical study is presented on fluid-body interaction in which the motion of the body and the fluid influence each other nonlinearly. There could also be many bodies involved.

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Suction into small two- or three-dimensional surface slots inside an otherwise planar boundary-layer is examined theoretically through a combined analytical and computational approach. Increasing suction strength leads to enhanced nonlinear structures with flow reversals or trailing vortices.

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