Hostname: page-component-76fb5796d-skm99 Total loading time: 0 Render date: 2024-04-27T08:01:55.212Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Annic, C. 1994 Segregation dans les milieux granulaires. Thesis Université de Rennes I.
Annic, C., Troadec, J. P., Gervois, A., Lemaître, J., Ammi, M. & Oger, L. 1994 Experimental study of radical tesselations of assemblies of discs with size distribution. J. Phys. A. (to appear)Google Scholar
Lemaître, J., Gervois, A., Peerhossaini, H., Bideau, D. & Troadec, J. P. 1990 An air table designed to study two-dimensional disc packings: preliminary tests and first results J. Phys. D: 23, 1396–1404.Google Scholar
Lemaître, J., Troadec, J. P., Gervois, A. & Bideau, D. 1991 Experimental study of densification of disc assemblies. EuroPhys. Lett. 14, 77–83.Google Scholar
Lemaître, J., Gervois, A., Bideau, D., Troadec, J. P. & Ammi, M. 1992 Distribution du nombre de côtés des cellules de mosaïques bidimensionnelles. C.R. Acad. Sci., Paris II 315, 35–38.Google Scholar
Lemaître, J., Gervois, A., Troadec, J. P., Rivier, N., Ammi, M. & Bideau, D. 1993 Arrangement of cells in Voronoi tesselations of monosize packing of discs. Phil. Mag. 67, 347–362.Google Scholar
Petit, L. 1986 Sustentation d’un mobile autoporteur sur une table à coussin d’air ou heureusement que l’air est visqueux. Bulletin de l’Union des Physiciens 685, 981–991.Google Scholar
Tasserie, M., Hansen, A. & Bideau, D. 1992 Experimental simulation of polymers in disordered media. J. Phys. I: 2, 2025–2031.Google Scholar