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Inertial levitation

Published online by Cambridge University Press:  03 June 2004

A. D. FITT ,
G. KOZYREFF  and
J. R. OCKENDON
A. D. FITT
Affiliation:
School of Mathematics, University of Southampton, Southampton SO17 1BJ, UK
G. KOZYREFF
Affiliation:
OCIAM, Mathematical Institute, 24–29 St Giles, Oxford OX1 3LB, UK
J. R. OCKENDON
Affiliation:
OCIAM, Mathematical Institute, 24–29 St Giles, Oxford OX1 3LB, UK
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 508 , 10 June 2004 , pp. 165 - 174
Copyright
© 2004 Cambridge University Press

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