Ockendon, J. R. and Fitt, A. D. and Kozyreff, G. K. (2004) Inertial levitation. Journal of Fluid Mechanics, 508 . pp. 165174.

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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 twodimensional 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 threedimensional problem when the injection pressure distribution is known.
Item Type:  Article 

Subjects:  A  C > Calculus of variations and optimal control 
Research Groups:  Oxford Centre for Industrial and Applied Mathematics 
ID Code:  223 
Deposited By:  John R. Ockendon 
Deposited On:  05 Apr 2006 
Last Modified:  29 May 2015 18:18 
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