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Inertial levitation

Inertial levitation
Inertial levitation
We consider the steady levitation of a rigid plate on a thin air cushion with prescribed injection velocity. This injection velocity is assumed to be much larger than that in a conventional Prandtl boundary layer, so that inertial effects dominate. After applying the classical ‘blowhard’ theory of Cole & Aroesty (1968) to the two-dimensional version of the problem, it is shown that in three dimensions the flow may be foliated into streamline surfaces using Lagrangian variables. An example is given of how this may be exploited to solve the three-dimensional problem when the injection pressure distribution is known.
0022-1120
165-174
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Kozyreff, G.
e0733fcc-0ea5-4a0a-9632-54bde24569eb
Ockendon, J.R.
2a11492b-50a7-4495-98e8-7d71d2587e4c
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Kozyreff, G.
e0733fcc-0ea5-4a0a-9632-54bde24569eb
Ockendon, J.R.
2a11492b-50a7-4495-98e8-7d71d2587e4c

Fitt, A.D., Kozyreff, G. and Ockendon, J.R. (2004) Inertial levitation. Journal of Fluid Mechanics, 508, 165-174. (doi:10.1017/S0022112004009218).

Record type: Article

Abstract

We consider the steady levitation of a rigid plate on a thin air cushion with prescribed injection velocity. This injection velocity is assumed to be much larger than that in a conventional Prandtl boundary layer, so that inertial effects dominate. After applying the classical ‘blowhard’ theory of Cole & Aroesty (1968) to the two-dimensional version of the problem, it is shown that in three dimensions the flow may be foliated into streamline surfaces using Lagrangian variables. An example is given of how this may be exploited to solve the three-dimensional problem when the injection pressure distribution is known.

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Published date: 2004

Identifiers

Local EPrints ID: 29141
URI: http://eprints.soton.ac.uk/id/eprint/29141
DOI: doi:10.1017/S0022112004009218
ISSN: 0022-1120
PURE UUID: 1fdbc61c-7845-4a9e-a4af-b7bec439b5e2

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Date deposited: 11 May 2006
Last modified: 15 Mar 2024 07:29

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Contributors

Author: A.D. Fitt
Author: G. Kozyreff
Author: J.R. Ockendon

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