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The effect of viscosity on the height of disks floating above an air table

Published online by Cambridge University Press:  26 April 2006

E. J. Hinch  and
J. Lemaître
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, The University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
J. Lemaître
Affiliation:
Groupe Matière Condenseée et Matériaux, Université de Rennes I, 35042 Rennes Cedex, France
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Abstract

A similarity solution is used to analyse the flow in the thin gap between a floating disk and an air table, the similarity solution being that for an axisymmetric stagnation point but with an upper boundary condition within the boundary layer. Viscous effects increase the height of the floating disk by 20% even at a Reynolds number of 50. Theoretical predictions are compared with experimental observations. The effect of the pressure distribution under the disk on the air flux through the table is examined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 273 , 25 August 1994 , pp. 313 - 322
Copyright
© 1994 Cambridge University Press

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